Research in Analysis at Laval University

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Researchers and Research Interests

Publications

Ph.D. and Master Theses, Master Essays

Advanced Courses in Analysis

Activities

Some publications of the research group

Accepted papers

B. Colbois and A. Girouard, Metric upper bounds for Steklov and Laplace eigenvalues, Annales de l'institut Fourier, to appear.
D.Kinzebulatov, On particle systems and critical strengths of general singular interactions, Annales de l'Institut Henri Poincaré (B) Probab. Stat., to appear.
D.Kinzebulatov, Laplacian with singular drift in a critical borderline case, Math. Nachr., to appear.
D.Kinzebulatov, K.R. Madou, Strong solutions of SDEs with singular (form-bounded) drift via Roeckner-Zhao approach, Stochastics and Dynamics, to appear.
D.Kinzebulatov, Yu.A.Semenov, Remarks on parabolic Kolmogorov operator, Theory Prob. Appl., to appear.

Papers in refereed publications

2024 | 2023 | 2022 | 2021 | 2020 | 2019 | 2018 | 2017 | 2016 | 2015 | 2014 | 2013 | 2012 | 2011 | 2010 | 2009 | 2008 | 2007 | 2006 | 2005 | 2004 | 2003 | 2002 | 2001 | 2000 | 1999 | 1998 | 1997

2024

D. Kinzebulatov, Yu. A. Semënov, Regularity for parabolic equations with singular non-zero divergence vector fields, J. Differential Equations 381 (2024), 293-339.
D. Kinzebulatov, Yu.A. Semenov and R. Song, Stochastic transport equation with singular drift, Ann. Inst. Henri Poincaré Probab. Stat. 60 (2024), no.1, 731-752.
T. Ransford, Negative powers of Hilbert-space contractions. J. Funct. Anal. 286 (2024), no.10, Paper No. 110397.
T. Ransford, D. Tsedenbayar, On the real and imaginary parts of powers of the Volterra operator, Integral Equations Operator Theory 96 (2024), no.1, Paper No. 4, 12 pp.
B. Colbois, A. Girouard, C. Gordon, D. Sher, Some recent developments on the Steklov eigenvalue problem, Rev. Mat. Complut. 37 (2024), no.1, 1-161.
L. Bouthat, J. Mashreghi, F. Morneau-Guérin, The diameter of the Birkhoff polytope. Spec. Matrices 12 (2024), Paper No. 20230113.
S. Ghara, J. Mashreghi, T. Ransford, Summability and duality, Publ. Mat. 68 (2024), 407-429.
P.-O. Parisé, T. Ransford, On the divergence of Taylor series in de Branges-Rovnyak spaces, Proc. Amer. Math. Soc. Ser. B 11 (2024), 126-132.
R. Fraiman, L. Moreno, T. Ransford, Application of the Cramér-Wold theorem to testing for invariance under group actions, TEST 33 (2024), 379-399.
T. Ransford, D. Tsedenbayar, Contractivity of Möbius functions of operators, Linear Algebra Appl. 703 (2024), 20-26.
D. Kinzebulatov, K.R. Madou, Yu.A. Semenov, On the supercritical fractional diffusion equation with Hardy-type drift, J. Anal. Math. 152 (2024), 401-420.
D. Kinzebulatov, R. Vafadar, On divergence-free (form-bounded type) drifts, Discrete Contin. Dyn. Syst. Ser. S 17 (2024), no. 5-6, 2083-2107.
A. Girouard, P. Polymerakis, Large Steklov Eigenvalues Under Volume Constraints, J. Geom. Anal. 34 (2024), no. 10, Paper No. 316.
D. Kinzebulatov, Form-boundedness and SDEs with singular drift, Springer INdAM Ser., 56, Springer, Singapore, 2024, 147-261.
J. Mashreghi, M. Ptak, W. Ross, Conjugations of unitary operators, I, Anal. Math. Phys. 14 (2024), no. 3, Paper No. 62, 31 pp.
J. Mashreghi, M. Ptak, W. Ross, Conjugations of unitary operators, II, Anal. Math. Phys. 14 (2024), no. 3, Paper No. 56, 28 pp.
A. K. Bhardwaj, A. Chattopadhyay, J. Mashreghi, R. K. Srivastava, Hilbert transform in the Cartwright-de Branges space, Oper. Theory Adv. Appl., 295, Birkhäuser/Springer, Cham, 2024, 99-114.
J. Mashreghi, M. Nasri, M. Withanachchi, Cesàro means in local Dirichlet spaces, Arch. Math. (Basel) 122 (2024), no. 5, 541-551.
A. K. Bhardwaj, J. Mashreghi, R. K. Srivastava, Hilbert transform, Nevanlinna class and Toeplitz kernels, Complex Anal. Oper. Theory 18 (2024), no. 3, Paper No. 78, 9 pp.
L. Bouthat, On the monotonicity of left and right Riemann sums, Sampl. Theory Signal Process. Data Anal. 22 (2024), no. 1, Paper No. 14, 42 pp.
L. Bouthat, On the submultiplicativity of matrix norms induced by random vectors, Complex Anal. Oper. Theory 18 (2024), no.3, Paper No. 73, 17 pp.
R. O'Loughlin, J. Virtanen, Crouzeix's conjecture for classes of matrices, Linear Algebra Appl. 697 (2024), 277-292.

2023

T. Ransford, N. Walsh, Norms of polynomials of the Volterra operator, J. Math. Anal. Appl., 517 (2023), paper no. 126626, 15 pp.
J. Mashreghi, M. Ptak, W. T. Ross, The square roots of some classical operators, Studia Math. 269 (2023), no. 1, 83-106
R. Fraiman, L. Moreno, T. Ransford, A quantitative Heppes theorem and multivariate Bernoulli distributions, J. R. Stat. Soc. Ser. B. Stat. Methodol. 85 (2023), 293-314.
T. Ransford, Volterra operator norms: a brief survey, Moroccan J. Pure Appl. Anal. 9 (2023), 276-290.
J. Mashreghi, T. Ransford, Weakly multiplicative distributions and weighted Dirichlet spaces, J. Geom. Anal. 33 (2023), paper no. 103 (10 pages).
R. Fraiman, L. Moreno, T. Ransford, A Cramér-Wold theorem for elliptical distributions, J. Multivariate Anal. 196 (2023), paper no. 105176 (13 pages).
L. Bouthat, J. Mashreghi, F. Morneau-Guérin, Monotonicity of certain left and right Riemann sums, Oper. Theory Adv. Appl. 290, Birkhäuser/Springer, Cham, 2023, 89-113.
S. R. Garcia, J. Mashreghi, W. Ross, Operator Theory by Example, Oxford University Press, Oxford, 2023
D. Kinzebulatov, Y. A. Semënov, Sharp solvability for singular SDEs, Electron. J. Probab. 28 (2023), Paper No. 69, 15 pages.
D. Kinzebulatov et Yu.A. Semenov, Fractional Kolmogorov operator and desingularizing weights, Publ. Res. Inst. Math. Sci. 59 (2023), no.2, 339-391.
T. Ransford, The Dirichlet space. Lectures on analytic function spaces and their applications, 55-75. Fields Inst. Monogr., 39, Springer, Cham, 2023.
A. Fuhrer, T. Ransford, M. Younsi, Holomorphic motions, dimension, area and quasiconformal mappings, J. Math. Pures Appl. (9) 177 (2023), 455-483.
R. Clouâtre, M. Ostermann, T. Ransford, An abstract approach to the Crouzeix conjecture, J. Operator Theory, no.1, 209-221.
L. H. Khoi, J. Mashreghi, Theory of N_p spaces. Front. Math. Birkhäuser/Springer, Cham, 2023, xi+258 pp.
J. Mashreghi, Hardy spaces. Lectures on analytic function spaces and their applications, 1-53. Fields Inst. Monogr., 39, Springer, Cham, 2023.
E. Bayati, J. Mashreghi, M. Nasri, The infinite dimensional Perfect-Mirsky conjecture, Oper. Matrices 17 (2023), no.3, 779-791.
L. Bouthat, J. Mashreghi, F. Morneau-Guérin, Hardy-type inequalities for ℓ^p sequences. J. Math. Inequal. 17 (2023), no.3, 1165-1178.
L. Bouthat, J. Mashreghi, F. Morneau-Guérin, On the norm of normal matrices. Research on preserver problems on Banach algebras and related topics, 183-222. RIMS Kôkyûroku Bessatsu, B93, Research Institute for Mathematical Sciences (RIMS), Kyoto, 2023
J. Mashreghi, W. Verreault, Nonlinear expansions in reproducing kernel Hilbert spaces. Sampl. Theory Signal Process. Data Anal. 21 (2023), no.2, Paper No. 30, 17 pp.
J. Mashreghi, H. Roopaei, Factorization of infinite L-matrices. Results Math. 78 (2023), no.6, Paper No. 207, 14 pp.
G. Beiner, W. Verreault, Failure of L^p symmetry of zonal spherical harmonics. J. Spectr. Theory 13 (2023), no.1, 383-394.
R. Gibara, D. Kinzebulatov, On the vanishing of Green's function, desingularization and Carleman's method, Algebra i Analiz 35 (2023), no.3, 17-38.

2022

D. Kinzebulatov, Yu. A. Semenov, Regularity of solutions to Kolmogorov equation with Gilbarg-Serrin matrix. J. Evol. Equ., 22 (2022), no. 1, Paper No. 21.
B. Karapetrović, J. Mashreghi, Gaussian integral means in the Fock space. Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM, 116 (2022), no. 1, Paper No. 51, 10 pp.
L. Bouthat, J. Mashreghi, The critical point and the p-norm of the Hilbert L-matrix. Linear Algebra Appl., 634 (2022), 1-14.
W. Verreault, MacMahon partition analysis: a discrete approach to broken stick problems. J. Combin. Theory Ser. A, 187 (2022), Paper No. 105571, 15 pp.
W. Verreault, On the probability of forming polygons from a broken stick. Statist. Probab. Lett., 180 (2022), Paper No. 109237, 8 pp.
J. Mashreghi, P.-O. Parisé, T. Ransford, Power-series summability methods in de Branges-Rovnyak spaces, Integral Equations Operator Theory, 94 (2022), Paper no. 20, 17 pp.
J. Mashreghi, P.-O. Parisé, T. Ransford, Failure of approximation of odd functions by odd polynomials, Constr. Approx., 56 (2022), 35-43.
C. Chu, M. Hartz, J. Mashreghi, T. Ransford, A Gleason-Kahane-Zelazko theorem for reproducing kernel Hilbert spaces, Bull. London Math. Soc., 54 (2022), 1120-1130.
T. Ransford, N. Walsh, A four-mean theorem and its application to pseudospectra, Positivity, 26 (2022), paper no. 70, 13 pp.
D. Kinzebulatov, K. R. Madou, Stochastic equations with time-dependent singular drift. J. Differential Equations, 337 (2022), 255-293.
A. Girouard, M. Karpukhin, M. Levitin, I. Polterovich, The Dirichlet-to-Neumann map, the boundary Laplacian, and Hörmander's rediscovered manuscript. J. Spectr. Theory, 12 (2022), 195-225.
D. Aggarwal, U. Subedi, W. Verreault, A. Zaman, C. Zheng, A conjectural asymptotic formula for multiplicative chaos in number theory. Res. Number Theory, 8 (2022), Paper No. 35, 19 pp.
D. Kinzebulatov, K.R. Madou, On admissible singular drifts of symmetric ɑ-stable process, Math. Nachr., 295 (10) (2022), 2036-2064.
D. Kinzebulatov, Yu.A. Semenov, Heat kernel bounds for parabolic equations with singular (form-bounded) vector fields, Mathematische Annalen, 384 (2022), 1883-1929.
T. Ransford, N. Walsh, Spectral sets, extremal functions and exceptional matrices, Linear Multilinear Algebra, 70 (2022), 3310-3318.
D. Kinzebulatov et Yu.A. Semenov, Kolmogorov operator with the vector field in Nash class, Tohoku Math. J. (2) 74 (2022), no. 4, 569-596.
J. Mashreghi, M. Shirazi, M.; M. Withanachchi, Partial Taylor sums on local Dirichlet spaces, Anal. Math. Phys. 12 (2022), no. 6, Paper No. 147, 26 pp.
J. Mashreghi, Dilation theory: a century of distancing from the frontiers, Acta Sci. Math. (Szeged) 88 (2022), no. 1-2, 321-370.
D. Aggarwal, U. Subedi, W. Verreault, A. Zaman, C. Zheng, Sums of random multiplicative functions over function fields with few irreducible factors, Math. Proc. Cambridge Philos. Soc. 173 (2022), no. 3, 715-726.
J. Mashreghi, T. Ransford, Asymptotically equicontinuous sequences of operators and a Banach-Steinhaus type theorem, J. Iranian Math. Soc. 3 (2022), 43-47.
L. Bouthat, A. Khare, J. Mashreghi, F. Morneau-Guérin, The p-norm of circulant matrices, Linear Multilinear Algebra 70 (2022), 7176-7188.

2021

J. Mashreghi, P.-O. Parisé, T. Ransford, Cesàro summability of Taylor series in weighted Dirichlet spaces, Complex Anal. Oper., Theory 15 (2021), paper no. 7 (8 pages).
B. Karapetrovic, J. Mashreghi, Hadamard products in weighted Bergman spaces. J. Math. Anal. Appl., 494 (2021), no. 2, paper no. 124617 (17 pages).
A. Girouard, A. Henrot, J. Lagacé, From Steklov to Neumann via homogenisation. Arch. Ration. Mech. Anal., 239 (2021), no. 2, 981-1023.
J. Mashreghi, T. Ransford, Polynomial approximation in weighted Dirichlet spaces, Complex Anal. Synerg., 15 (2021), paper no. 11 (5 pages).
D. Kinzebulatov, Yu.A. Semenov, Stochastic differential equations with singular (form-bounded) drift, Osaka J. Math., 58 (2021), 855-883.
A. Girouard, M. Karpukhin, J. Lagacé, Continuity of eigenvalues and shape optimisation for Laplace and Steklov problems, Geom. Funct. Anal. 31 (2021), no. 3, 513-561.
J. Mashreghi, M. Ptak, W. T. Ross, A common range problem for model spaces, Forum Math. 33 (2021), no. 4, 987-996.
J. Mashreghi, A note on Schwarz's lemma, Complex Anal. Synerg. 7 (2021), no. 2, Paper No. 8, 3 pp.
L. Bouthat, J. Mashreghi, The norm of an infinite L-matrix, Oper. Matrices 15 (2021), no. 1, 47-58.
T. Ransford, On the decay of singular inner functions, Canad. Math. Bull. 64 (2021), 902-905.
D. Kinzebulatov, Regularity theory of Kolmogorov operator revisited, Canad. Math. Bull., 64 (2021), 725-736
D. Kinzebulatov, Yu A. Semënov, , K. Szczypkowski. Heat kernel of fractional Laplacian with Hardy drift via desingularizing weights. J. Lond. Math. Soc., (2) 104 (2021), no. 4, 1861-1900
A. Girouard, J. Lagacé, Large Steklov eigenvalues via homogenisation on manifolds. Invent. Math., 226 (2021), no. 3, 1011-1056.
A. Girouard, R. S. Laugesen, Robin spectrum: two disks maximize the third eigenvalue. Indiana Univ. Math., J. 70 (2021), no. 6, 2711-2742.
L. Bouthat, J. Mashreghi, L-matrices with lacunary coefficients. Oper. Matrices, 15 (2021), no. 3, 1045-1053.
E. Fricain, J. Mashreghi, Orthonormal polynomial basis in local Dirichlet spaces. Acta Sci. Math. (Szeged), 87 (2021), no. 3-4, 595-613.
J. Mashreghi, M. Ptak, W. T. Ross, Interpolating with outer functions. Anal. Math. Phys., 11 (2021), no. 4, Paper No. 168, 17 pp.
P. Drouin, P.-O. Parisé, Un problème de rendez-vous, Bulletin AMQ, 61 (2021), p.14.

2020

B. Colbois, A. Girouard, A. Hassannezhad, The Steklov and Laplacian spectra of Riemannian manifolds with boundary. J. Funct. Anal., 278 (2020), no. 6, 108409.
A. Bourhim, J. Mashreghi, Recent progress on local spectrum-preserving maps. Linear and multilinear algebra and function spaces, 109-151, Contemp. Math., 750, Centre Rech. Math. Proc., Amer. Math. Soc., Providence, RI, (2020).
B. Karapetrović, J. Mashreghi, Hadamard Convolution and Area Integral Means in Bergman Spaces. Results Math., 75 (2020), no. 2, 70.
R. Cheng, J. Mashreghi, W. T. Ross, Inner vectors for Toeplitz operators. Complex analysis and spectral theory, 195-212, Contemp. Math., 743, Centre Rech. Math. Proc., Amer. Math. Soc., Providence, RI, (2020).
B. Colbois, A. Girouard, A. Métras, Hypersurfaces with prescribed boundary and small Steklov eigenvalues. Canad. Math. Bull., 63 (2020), no. 1, 46-57.
D. Kinzebulatov, Yu. A. Semënov, Brownian motion with general drift, Stoch. Proc. Appl., 130 (2020), no. 5, 2737-2750.
F. Morneau-Guérin, T. Ransford, Convolution weights on ℓ²-spaces. J. Math. Anal. Appl., 492 (2020), no. 1, 124396, 20pp.
P. Drouin, T. Ransford, Covering numbers and schlicht functions. Involve, 13 (2020), no. 3, 425-432.
E. Fricain, J. Mashreghi, R. Rupam, Backward shift invariant subspaces in reproducing kernel Hilbert spaces. Math. Scand., 126 (2020), no. 1, 142-160.
A. Bourhim, J. Mashreghi, Jordan maps and pseudospectrum in C^∗-algebras. J. Operator Theory , 83 (2020), no. 2, 299-319.
C. Chu, Which de Branges-Rovnyak spaces have the complete Nevanlinna-Pick property, J. Funct. Anal., 279 (2020), no. 6, 108608, 15pp.
C. Chu, Product of truncated Hankel and truncated Toeplitz operators. J. Math. Anal. Appl., 489 (2020), no. 1, 124136, 19pp.
K. Bickel, P. Gorkin, A. Greenbaum, T. Ransford, F. Schwenninger, E. Wegert, Crouzeix's conjecture and related problems, Comput. Methods Funct., 20 (2020), 701-728.
T. Ransford, M. Younsi, W.-H. Ai, Continuity of capacity of a holomorphic motion, Adv. Math., 374 (2020), paper no. 107376 (15 pages).
F. Morneau-Guérin, Weighted Young-type inequalities on locally compact groups, Novi Sad J. Math., Vol. 50, No. 2, 2020, 107-120.
D. Kinzebulatov, Yu.A. Semenov, On the theory of the Kolmogorov operator in the spaces L^p and C_∞, Ann. Sc. Norm. Super. Pisa Cl. Sci. (5), 21 (2020), 1573-1647.

2019

J. Mashreghi, T. Ransford, Linear maps preserving inner functions, Studia Math., 244 (2019), 99-107.
A. Girouard, J. Lagacé, I. Polterovich, A. Savo, The Steklov spectrum of cuboids. Mathematika, 65 (2019), no. 2, 272-310.
E. Fricain, M. Karaki, J. Mashreghi, Composition Operators on de Branges-Rovnyak Spaces, Results Math., 74 (2019), no. 1, 74:61.
G. Bao, J. Mashreghi, S. Pouliasis, H. Wulan, Möbius invariant function spaces and Dirichlet spaces with superharmonic weights, J. Aust. Math. Soc., 106 (2019), no. 1, 1-18.
B. Colbois, A. Girouard, K. Gittins, Steklov Eigenvalues of Submanifolds with Prescribed Boundary in Euclidean Space, J. Geom. Anal., 29 (2019), no. 2, 1811-1834.
J. Mashreghi, T. Ransford, Linear polynomial approximation schemes in Banach holomorphic function spaces, Anal. Math. Phys., 9 (2019), no. 2, 899-905.
S. Pouliasis, T. Ransford, M. Younsi, Analytic capacity and holomorphic motions, Conform. Geom. Dyn., 23 (2019), 130-134.
R. Cheng, J. Mashreghi, W. T. Ross, Inner functions and zero sets for ℓ^p_A. Trans. Amer. Math. Soc., 372 (2019), no. 3, 2045-2072.
G. Knese, Ł. Kosiński, T. Ransford, A. Sola, Cyclic polynomials in anisotropic Dirichlet spaces, J. Anal. Math., 138 (2019), 23-47.
T. Ransford, A short complex-variable proof of the Titchmarsh convolution theorem, J. Fourier Anal. Appl., 25 (2019), 2697-2702.
B. Colbois, A. El Soufi, A. Girouard, Compact manifolds with fixed boundary and large Steklov eigenvalues, Proc. Amer. Math. Soc., 147 (2019), 3813-3827.
G. Brouillette, P.-O. Parisé, D. Rochon, Tricomplex distance estimation for filled-in Julia sets and multibrot sets, Internat. J. Bifur. Chaos, 29 (2019), 1950085.
H. Bellemare, Y. Langlois, T. Ransford, A positivity conjecture related to the Riemann zeta function, Amer. Math. Monthly, 126 (2019), 891-904.
P. Gauthier, T. Ransford, S. St-Amant, J. Turcotte, Approximation by random complex polynomials and random rational functions, Ann. Polon. Math., 123 (2019), 267-294.
J. Mashreghi, T. Ransford, Hadamard multipliers on weighted Dirichlet spaces, Integral Equations Operator Theory, 91 (2019), Art 52, 13pp.
R. Cheng, J. Mashreghi, W. T. Ross, Inner functions in reproducing kernel spaces, Analysis of operators on function spaces, 167-211, Trends Math., Birkhäuser/Springer, Cham, 2019.

2018

D. Kinzebulatov, Feller Generators with Measure-valued Drifts, Potential Anal., 48 (2018), no. 2, 207-222.
L. Kosiński, E. Martel, T. Ransford, A uniform boundedness principle in pluripotential theory, Ark. Mat., 56 (2018), 101-109.
J. Mashreghi, J. Ransford, T. Ransford, A Gleason-Kahane-Zelazko theorem for the Dirichlet space, J. Funct. Anal., 274 (2018), 3254-3262.
J. Mashreghi, T. Ransford, Outer functions and divergence in de Branges-Rovnyak spaces, Complex Anal. Oper. Theory, 12 (2018), 987-995.
T. Ransford, F. Schwenninger, Remarks on the Crouzeix-Palencia proof that the numerical range is a (1+√2)-spectral set, SIAM J. Matrix Anal. Appl., 39 (2018), 342-345.
J. Mashreghi, T. Ransford, Outer functions and uniform integrability, Ann. Acad. Sci. Fenn. Math., 43 (2018), 1023-1026.
J. Mashreghi, T. Ransford, Gleason-Kahane-Zelazko theorems in function spaces, Acta Sci. Math. (Szeged), 84 (2018), 227-238.
J. Mashreghi, T. Ransford, Approximation in the closed unit ball, Proceedings of the Conference New Tends in Approximation Theory (in memory of André Boivin), 89-129, Fields Inst. Commun., 81, Springer, New York, 2018.
P. Gauthier, M. Manolaki, J. Mashreghi, The life and work of André Boivin. New trends in approximation theory, 1-25, Fields Inst. Commun., 81, Springer, New York, 2018.
R. Cheng, J. Mashreghi, W. T. Ross, Optimal weak parallelogram constants for L^p spaces. Math. Inequal. Appl., 21 (2018), no. 4, 1047-1058.
D. Cianci, A. Girouard, Large spectral gaps for Steklov eigenvalues under volume constraints and under localized conformal deformations. Ann. Global Anal. Geom., 54 (2018), no. 4, 529-539.
L. Baribeau, T. Ransford, Some open problems in the theory of analytic multifunctions, Dolomites Res. Notes Approx., 11 (2018), 116-121.
T. Ransford, Fundamentals of spectral theory, Proceedings of CRM Summer School on Spectral Theory and Applications, (Ed. Alexandre Girouard), Contemporary Mathematics 720, 1-22, Amer. Math. Soc., Providence RI, 2018.
F. Morneau-Guérin, Le lemme de König et les arbres d'Aronszajn, Bulletin AMQ, 58 (2018), 44-60.

2017

H. Klaja, T. Ransford, Non-commutativity of exponential spectrum, J. Funct. Anal., 272 (2017), 4158-4164.
J. Mashreghi, An inequality for Cauchy products. Proc. Amer. Math. Soc., 145 (2017), 3013-3016.
D. Kinzebulatov, A new approach to the L^p-theory of -∆ + b⋅∇, and its applications to Feller processes with general drifts,Ann. Sc. Norm. Super. Pisa Cl. Sci. (5), 17 (2017), 685-711.
D. Kinzebulatov, Feller evolution families and parabolic equations with form-bounded vector fields, Osaka J. Math., 54 (2017), 499-516.
I. Binder, D. Kinzebulatov, M. Voda, Non-perturbative localization with quasi-periodic potential in continuous time, Comm. Math. Phys., 351 (2017), 1149-1175.
A. Brudnyi, D. Kinzebulatov, Kohn decomposition for forms on coverings of complex manifolds constrained along the fibres, Trans. Amer. Math. Soc., 369 (2017), 167-186.
H. Klaja, J. Mashreghi, T. Ransford, Spectral sets for numerical range, Oper. Matrices, 11 (2017), 749-757.
P.-O. Parisé, T. Ransford, D. Rochon, Tricomplex dynamical systems generated by polynomials of even degree, Proceedings of CHAOS 2016, Chaotic Modeling and Simulation (CMSIM), Jan 2017, 37-48.
R. Cheng, J. Mashreghi, W. T. Ross, Birkhoff-James Orthogonality and the Zeros of an Analytic Function. Comput. Methods Funct. Theory, 17 (2017), no. 3, 499-523.
A. Girouard, I. Polterovich, Spectral geometry of the Steklov problem (survey article). J. Spectr. Theory, 7 (2017), no. 2, 321-359.
A. Girouard, I. Polterovich, 5 Spectral geometry of the Steklov problem, Shape optimization and spectral theory, 120-148, De Gruyter Open, Warsaw, 2017.
R. Cheng, J. Mashreghi, W. Ross, Multipliers of sequence spaces, Concr. Oper., 4 (2017), 76-108.
S R Garcia, J. Mashreghi, W T Ross, Finite Blaschke products: a survey. Harmonic analysis, function theory, operator theory, and their applications, 133-158, Theta Ser. Adv. Math., Theta, Bucharest, 2017.
E. Abakoumov, O. El-Fallah, K. Kellay, T. Ransford, Cyclicity in the harmonic Dirichlet space, Proceedings of the Conference on Harmonic Analysis, Function Theory, Operator Theory and Their Applications, 1-10, Theta Ser. Adv. Math., Theta, Bucharest, 2017.

2016

O. El-Fallah, K. Kellay, H. Klaja, J. Mashreghi, T. Ransford, Dirichlet spaces with superharmonic weights and de Branges-Rovnyak spaces, Complex Analysis and Operator Theory, 10 (2016), 97-107.
A. Girouard, R. S. Laugesen, B. A. Siudeja, Steklov Eigenvalues and Quasiconformal Maps of Simply Connected Planar Domains, Arch. Ration. Mech. Anal., 219 (2016), no. 2, 903-936.
Ł. Kosiński, W. Zwonek, Extremal holomorphic maps in special classes of domains, Annali SNS di Pisa, 16 (2016), 159-182.
M. Younsi, Shapes, fingerprints and rational lemniscates, Proc. Amer. Math. Soc., 144 (2016), 1087-1093.
H. Klaja, J. Mashreghi, T. Ransford, On mapping theorems for numerical range, Proc. Amer. Math. Soc., 144 (2016), 3009-3018.
S. Pouliasis, T. Ransford, On the harmonic measure and capacity of rational lemniscates, Potential Anal., 44 (2016), 249-261.
E. Fricain, M. Karaki, J.Mashreghi, A group structure on 𝔻 and its application for composition operators, Ann. Funct. Anal., 7 (2016), 76-95.
J. Mashreghi, A. Stepanyan, Nonlinear maps preserving the reduced minimum modulus of operators, Linear Alg. Appl., 493 (2016), 426-432.
A. Bourhim. J. Mashreghi, Peripheral local spectrum preservers and maps increasing the local spectral radius, Oper. Matrices, 10 (2016), 189-208.
O. El-Fallah, E. Fricain, K. Kellay, J. Mashreghi, T. Ransford, Constructive approximation in de Branges-Rovnyak spaces, Constr. Approx., 44 (2016), 269-281.
C. Bénéteau, G. Knese, Ł. Kosiński, C. Liaw, D. Seco, A. Sola, Cyclic polynomials in two variables, Trans. Amer. Math. Soc., 368 (2016), 8737-8754.
A. Bourhim, J. Mashreghi, A. Stepanyan, Maps between Banach algebras preserving the spectrum. Arch. Math. (Basel), 107 (2016), no. 6, 609-621.
A. Girouard, I. Polterovich, The Steklov eigenvalue problem: some open questions. CMS Notes 48 (2016), no. 3, 16-17.
G. A. Philippin, S. Vernier Piro, Behaviour in time of solutions to a class of fourth order evolution equations. J. Math. Anal. Appl. 436 (2016), no. 2, 718-728.
L. Baribeau, T. Ransford, Cross-sections of multibrot sets, Journal of Analysis 24 (2016), 95-101.
A. Bourhim, J. Mashreghi, Composition operators on the Hardy-Hilbert space H² and model spaces K_Θ. Recent progress on operator theory and approximation in spaces of analytic functions, 13-57, Contemp. Math., 679, Amer. Math. Soc., Providence, RI, 2016.

2015

A. Bourhim, J. Mashreghi, Maps preserving the local spectrum of triple product of operators, Linear Multilinear Algebra, 63 (2015), 765-773.
O. El-Fallah, K. Kellay, J. Mashreghi, T. Ransford, One-box conditions for Carleson measures for the Dirichlet space, Proc. Amer. Math. Soc., 143 (2015), 679-684.
F. Gourdeau and M. C. White, Cyclic cohomology of Banach algebras of quivers and their inverse semigroups, J. Math. Anal. Appl., 423 (2015), 208-228
M. Fortier Bourque, M. Younsi, Rational Ahlfors functions, Constr. Approx., 41 (2015), 157-183.
J. Mashreghi, S. Pouliasis, Condenser capacity, exponential Blaschke products and universal covering maps, Proc. Amer. Math. Soc., 143 (2015), 3547-3559.
A. Bourhim, J. Mashreghi, Maps preserving the local spectrum of product of operators, Glasg. Math. J. 57 (2015), 709-718.
A. Kamara, A counterexample to the Γ-interpolation conjecture, Ann. Polon. Math., 114 (2015), 115-121.
G. A. Philippin, Lower bounds for blow-up time in a class of nonlinear wave equations. Z. Angew. Math. Phys., 66 (2015), no. 1, 129-134.
G. A. Philippin, Blow-up phenomena for a class of fourth-order parabolic problems. Proc. Amer. Math. Soc., 143 (2015), no. 6, 2507-2513.
C. Enache, G. A. Philippin. On some isoperimetric inequalities involving eigenvalues of symmetric free membranes. ZAMM Z. Angew. Math. Mech., 95 (2015), no. 4, 424-430.
C. Enache, G. A. Philippin.On some isoperimetric inequalities involving eigenvalues of fixed membranes. Appl. Math. Lett., 50 (2015), 10-15.
G. A. Philippin, S. Vernier Piro. Lower bound for the lifespan of solutions for a class of fourth order wave equations. Appl. Math. Lett., 50 (2015), 141-145.
J. Mashreghi, T. Ransford, A Gleason-Kahane-Zelazko theorem for modules and applications to holomorphic function spaces, Bull. London Math. Soc., 47 (2015), 1014-1020.
Ł. Kosiński, The group of automorphisms of the pentablock, Complex Analysis Operator Theory, 9 (2015), 1349-1359.
T. Jari, Nonlinear maps preserving the inner local spectral radius, Rend. Circ. Mat. Palermo,(2) 64 (2015), no. 1, 67-76.
A. Bourhim, J. Mashreghi, A survey on preservers of spectra and local spectra. Invariant subspaces of the shift operator, 45-98, Contemp. Math., 638, Amer. Math. Soc., Providence, RI, 2015.
E .Fricain, J. Mashreghi, D. Seco, Cyclicity in non-extreme de Branges-Rovnyak spaces. Invariant subspaces of the shift operator, 131-136, Contemp. Math., 638, Amer. Math. Soc., Providence, RI, 2015.
E. Fricain, J. Mashreghi, Integral representations of the derivatives in H(b) spaces. Invariant subspaces of the shift operator, 137-178, Contemp. Math., 638, Amer. Math. Soc., Providence, RI, 2015.
J. Mashreghi, Polynomial approximation in analytic function spaces. CMS Notes, 47 No 6 (2015), 12-13.

2014

L. Baribeau, A. S. Kamara, A refined Schwarz Lemma for the spectral Nevanlinna-Pick problem, Complex Analysis and Operator Theory, 8:2 (2014), 529-536.
J. Mashreghi, M. Shabankhah, Composition of inner functions, Canadian Journal of Mathematics, 66 (2014), 387-399.
E. Fricain, J. Mashreghi, On a characterization of finite Blaschke products, Complex Variables and Elliptic Equations, 59 (2014), 362-368.
J. Mashreghi, D.Timotin, Nonextreme de Branges-Rovnyak Spaces as Models for Contractions, Integral Equations Operator Theory, 80 (2014), no. 1, 137-152.
B. Colbois, A. Girouard, The spectral gap of graphs and Steklov eigenvalues on surfaces, Electron. Res. Announc. Math. Sci., 21 (2014), 19-27.
A. Bourhim, J. Mashreghi, A. Stepanyan, Nonlinear maps preserving the minimum and surjectivity moduli, Linear Algebra Appl., 463 (2014), 171-189.
A. Girouard, L. Parnovski, I. Polterovich and D. A. Sher, The Steklov spectrum of surfaces: asymptotics and invariants, Mathematical Proceedings of the Cambridge Philosophical Society, 157 (2014), no. 3, 379-389.

2013

L. Baribeau, Hyperbolic derivatives determine a function uniquely, Blaschke products and their applications, 187-192, Fields Institute Communications 65, Springer, New York, 2013.
J. Mashreghi, M. Shabankhah, Composition operators on finite rank model subspaces, Glasg. Math. J. 55 (2013), 69-83.
D. Drissi, J. Mashreghi, Resolvent spaces for algebraic operators and applications, J. Math. Anal. Appl, 402 (2013), 179-184.
A. Bourhim, J. Mashreghi, Local Spectral Radius Preservers, Integral Equations Operator Theory, 76 (2013), 95-104.
P. Rivard, Some applications of higher-order hyperbolic derivatives, Complex Analysis and Operator Theory, 7 (2013), 1127-1156.
T. Ransford, S. Raouafi, Pseudospectra and holomorphic functions of matrices, Bull. London Math. Soc. 45 (2013), 693-699.
J. Mashreghi, Blaschke products as solutions of a functional equation. Blaschke products and their applications, 113-118, Fields Inst. Commun., 65, Springer, New York, 2013.
R. Aron, J. Jaramillo, T. Ransford, Smooth surjections without surjective restrictions, J. Geom. Anal. 23 (2013), 2081-2090.
M. Younsi, T. Ransford, Computation of analytic capacity and applications to the subadditivity problem, Comput Methods Funct. Theory, 13 (2013), 337-382.
C. Costara, T. Ransford, Which de Branges-Rovnyak spaces are Dirichlet spaces (and vice versa)?, J. Funct. Anal. 265 (2013), 3204-3218.
C. Enache, G. A. Philippin, Some inequalities involving eigenvalues of the Neumann Laplacian, Math. Meth. Appl. Sci., 36 (2013), 2145-2153.
B. Colbois, A. Girouard, M. Iversen, Uniform stability of the Dirichlet spectrum for rough outer perturbations, J. Spectr. Theory, 3 (2013), no. 4, 575-599.
B. Colbois, A. El Soufi, A. Girouard, Isoperimetric control of the spectrum of a compact hypersurface, Journal für die reine und angewandte Mathematik, 683 (2013), 49-65.
L. E. Payne, G. A. Philippin, Blow-up phenomena in parabolic problems with time dependent coefficients under Dirichlet boundary conditions. Proc. Amer. Math. Soc. 141 (2013), no. 7, 2309-2318.

2012

F. Gourdeau, M. C. White, The cyclic and simplicial cohomology of the Cuntz semigroup algebra, J. Math. Anal. Appl., 386 (2012), 921-932.
T. Ransford, A. Selezneff, Capacity and covering numbers, Potential Analysis, 36 (2012), 223-233.
J. Mashreghi, M. Nasri, A proximal augmented Lagrangian method for equilibrium problems, Applicable Analysis, 91 (2012), 157-172.
A. Bourhim, Additive maps preserving the reduced minimum modulus of banach space operators, J. Operator Theory 67 (2012), 279-288.
K. Kellay, J. Mashreghi, On zero sets in the Dirichlet space, J. Geom. Anal., 22 (2012), 1055-1070.
D. Guillot, Blaschke condition and zero sets in weighted Dirichlet spaces, Arkiv der Matematik, 50 (2012), 269-278.
J. Mashreghi, M. Nasri, Hybrid Lagrange multiplier approaches for solving infinite dimensional equilibrium problems with cone constraints, Journal of Nonlinear and Convex Analysis, 13 (2012), 331-349.
L. E. Payne, G. A. Philippin, Blow-up phenomena for a class of parabolic systems with time dependent coefficients, Applied Mathematics, 4 (2012), 325-330.
L. E. Payne, G. A. Philippin, Blow-up phenomena in parabolic problems with time dependent coefficients under Neumann boundary conditions, Proc. Roy. Soc. Edinburgh Sect. A, 142, (2012), no. 3, pp. 625-631.
D. Guillot, Fine boundary behavior and invariant subspaces of harmonically weighted Dirichlet spaces, Complex Analysis and Operator Theory, Complex Analysis and Operator Theory 6 (2012), pp. 1211-1230.
O. El-Fallah, K. Kellay, J. Mashreghi, T. Ransford, A self-contained proof of the strong-type capacitary inequality for the Dirichlet space, Complex analysis and potential theory, 1-20, CRM Proc. Lecture Notes 55, Amer. Math. Soc., Providence, RI, 2012.
T. Kalmes, M. Nieß, T. Ransford, Examples of quantitative universal approximation, Complex analysis and potential theory, 77-97, CRM Proc. Lecture Notes 55, Amer. Math. Soc., Providence, RI, 2012.
G. A. Philippin, V. Proytcheva, A minimum principle for the problem of St-Venant in R^N, N≥2, ZAMP 63 (2012), 1085-1090.
J. Mashreghi, On a family of outer functions. Complex analysis and potential theory, 193-199, CRM Proc. Lecture Notes, 55, Amer. Math. Soc., Providence, RI, 2012.
Y. Choi, F. Gourdeau, M. White, Simplicial cohomology of band semigroup algebras. Proc. Roy. Soc. Edinburgh Sect. A 142 (2012), no. 4, 715-744.
J. Anderson, J. Cima, N. Levenberg, T. Ransford, Projective hulls and characterizations of meromorphic functions, Indiana Univ. Math. J., 61 (2012), 2111-2122.
L. E. Payne, G. A. Philippin, Blow-up in a class of non-linear parabolic problems with time dependent coefficients under Robin type boundary conditions, Applicable Analysis, 91 (2012), no. 12, 2245-2256.

2011

P. Rivard, A Schwarz-Pick theorem for higher-order hyperbolic derivatives, Proc. Amer. Math. Soc., 139 (2011), 209-217.
Y. Choi, F. Ghahramani, Approximate amenability of Schatten classes, Lipschitz algebras and second duals of Fourier algebras, Quart. J. Math. (Oxford), 62 (2011), 39-58.
T. Ransford, J Rostand, Pseudospectra do not determine norm behavior, even for matrices with only simple eigenvalues, Linear Alg. Appl., 435 (2011), 3024-3028.
F. Gourdeau, M. C. White, The cyclic and simplicial cohomology of the bicyclic semigroup algebra, Quart. J. Math., 62 (2011), 607-624.
F. Gourdeau, N. Grønbæk, M. C. White, Homology and cohomology of Rees semigroup algebras, Studia Math. 202 (2011), 105-121.
R. Kantrowitz, M. M. Neumann, T. Ransford, Weak regularity, scrambling, and the steady state for stochastic matrices, in: Function Spaces in Modern Analysis, K. Jarosz (Ed), Contemporary Mathematics 547, Amer. Math. Soc., Providence, RI, 2011, 153-164.

2010

Y. Choi, Hochschild homology and cohomology of l¹(Z₊^k), Quart. J. Math. (Oxford) 61 (2010), 1-28.
A. Bourhim, M. Burgos, and V.S. Shulman, Linear maps preserving the minimum and reduced minimum moduli, J. Funct. Anal., 258 (2010), 50-66.
A. Baranov, E. Fricain, J. Mashreghi, Weighted norm inequalities for de Branges-Rovnyak spaces and their applications, Amer. J. Math., 132 (2010), 125-155.
P. Munroe, T. Ransford, C. Genest, Un contre-exemple à une conjecture de Hutchinson et Lai, C. R. Math. Acad. Sci. Paris, Ser. I 348 (2010), 305-310.
O. El-Fallah, K. Kellay, T. Ransford, Invariant subspaces of the Dirichlet space, in Hilbert Spaces of Analytic Functions, CRM Proceedings and Lecture Notes, vol. 51, Amer. Math. Soc., Providence, RI, 2010, 133-141.
J. Mashreghi, T. Ransford, M. Shabankhah, Arguments of zero sets in the Dirichlet space, in Hilbert Spaces of Analytic Functions, CRM Proceedings and Lecture Notes, vol. 51, Amer. Math. Soc., Providence, RI, 2010, 143-148.
J. Mashreghi, A formula for the logarithmic derivative and its applications, in Hilbert Spaces of Analytic Functions, CRM Proceedings and Lecture Notes, vol. 51, Amer. Math. Soc., Providence, RI, 2010, 197-202.
Q. Rajon, T. Ransford, J. Rostand, Computation of weighted capacity, J. Approx. Theory 162 (2010), 1187-1203.
O. El-Fallah, K. Kellay, T. Ransford, Cantor sets and cyclicity in weighted Dirichlet spaces, J. Math. Anal. Appl. 372 (2010), 565-573.
N. Chevrot, D. Guillot, T. Ransford, De Branges-Rovnyak spaces and Dirichlet spaces, J. Funct. Anal. 259 (2010), 2366-2383.
Y. Choi, Group representations with empty residual spectrum, to appear in Integral Equations Operator Theory 67 (2010), 95-107.
N. Chevrot, Kernel of vector-valued Toeplitz operators, to appear in Integral Equations Operator Theory 67 (2010), 57-78.
J. Mashreghi, M. Shabankhah, Admissible functions for the Dirichlet space, Studia Math. 198 (2010), 147-156.
Y. Choi, M. Heath, Translation-finite sets, and weakly compact derivations from l¹(Z₊) to its dual, Bull. London Math. Soc. 42 (2010), 429-440.
L. E. Payne, G. A. Philippin, S. Vernier-Piro, Blow-up phenomena for a semilinear heat equation with nonlinear boundary condition II, Nonlinear Anal. 73 (2010), 971-978.
Q. Rajon, T. Ransford, J. Rostand, Computation of capacity via quadratic minimization, J. Math. Pures Appl., 94-4 (2010), 398-413.
T. Ransford, Computation of logarithmic capacity, Comput. Methods Funct. Theory, 10 (2010), 555-578.
P. W. J. Glover, T. Ransford, G. Auger, A simple method for solving the Bussian equation for electrical conduction in rocks, Solid Earth 1 (2010), 85-91.
G. A. Philippin, A. Safoui, On extending some maximum principles to convex domains with nonsmooth boundaries, Math. Methods Appl. Sci., 33 (2010), 1850-1855.
A. Baranov, I. Chalendar, J. Mashreghi, D. Timotin, Bounded symbols and reproducing kernel thesis for truncated Toeplitz operators, J. Funct. Anal. 259 (2010), no. 10, 2673-2701.
J. Mashreghi, M. Nasri, Forcing strong convergence of Korpelevich's method in Banach spaces with its applications in game theory, Nonlinear Anal. 72 (2010), no. 3-4, 2086-2099.
Y. Choi, Splitting maps and norm bounds for the cyclic cohomology of biflat Banach algebras, Proceedings of the 19th International Conference on Banach Algebras, Banach Center Publ. 91 (2010), 105-121.
T. Ransford, Pseudospectra and matrix behaviour, Proceedings of the 19th International Conference on Banach Algebras, Bedlewo, 2009, Banach Center Publ. 91 (2010), 327-338.
L. E. Payne, G. A. Philippin, S. Vernier-Piro, Blow-up phenomena for a semilinear heat equation with nonlinear boundary condition I, Z. Angew. Math. Phys. 61 (2010), 999-1007.
J. Mashreghi, M. Nasri, Strong convergence of an inexact proximal point algorithm for equilibrium problems in Banach spaces, Numer. Funct. Anal. Optim., 31 (2010), no. 7-9, 1053-1071.

2009

L. Baribeau, P. Rivard, and E. Wegert, On Hyperbolic Divided Differences and the Nevanlinna-Pick Problem, Comput. Methods Funct. Theory, 9 (2009), 391-405.
J. Mashreghi, M. Shabankhah, Integral means of the logarithmic derivative of Blaschke products, Comput. Methods Funct. Theory, 9 (2009), 421-433.
M. Fortier Bourque et T. Ransford, Super-identical pseudospectra, J. London Math. Soc., 79 (2009), 511-528.
C. Costara, Commuting holomorphic maps on the spectral unit ball, Bull. London Math. Soc., 41 (2009), 57-62.
J. Mashreghi, M. Shabankhah, Zero sets and uniqueness sets with one cluster point for the Dirichlet space, J. Math. Anal. Appl. 357 (2009), 498-503.
J. Mashreghi, The rate of increase of mean values of functions in Hardy spaces, Journal of the Australian Mathematical Society 86 (2009), 199-204
M. Bendaoud, A. Bourhim, Essentially spectrally bounded linear maps, Proc. Amer. Math. Soc., 137 (2009) 3329-3334.
Y. Choi, Uniform bounds for point cohomology of l¹(Z₊) and related algebras, J. Math. Anal. Appl. 358 (2009), 249-260.
Y. Choi, F. Ghahramani, Y. Zhang, Approximate and pseudo-amenability of various classes of Banach algebras, J. Funct. Anal. 256 (2009), 3158-3191.
O. El-Fallah, K. Kellay, T. Ransford, On the Brown-Shields conjecture for cyclicity in the Dirichlet space, Adv. Math. 222 (2009), 2196-2214.
M. Bendaoud, A. Bourhim, M. Burgos and M. Sarih, Linear maps preserving Fredholm and Atkinson elements of C^*-algebras, Linear and Multilinear Algebra, Volume 57, Issue 8, 2009, 823-838.
G.A. Philippin, V. Proytcheva, S. Vernier-Piro, Continuous dependence results for a class of nonlinear heat equations in a cylindrical region, Math. Methods Appl. Sci., 32, (2009), 330-345.
L.E. Payne, G.A. Philippin, An ill-posed Cauchy problem for the heat equation, Math. Models Methods Appl. Sci., 19, (2009), 1631-1641.

2008

T. Ransford and J. Rostand, Hölder exponents of Green's functions of Cantor sets, Comput. Methods Funct. Theory 8 (2008), No. 1, 151-158.
M. Bendaoud, A. Bourhim, M. Sarih, Linear maps preserving the essential spectral radius, Linear Algebra Appl. 428 (2008), 1041-1045.
A. Bourhim, Spectral pictures of operator-valued weighted bi-shifts, J. Operator Theory, 59 (2008), 193-210.
S. Roy, Extreme Jensen measures, Arkiv för Matematik, 46 (2008), 153-182.
M. Jaberi and J. Mashreghi, On the population model of the non-autonomous logistical equation of second order with period two parameters, J. Difference Equ. Appl., 14 (2008), no. 3, 231-257.
E. Fricain, J. Mashreghi, Boundary behavior of functions of de Branges-Rovnyak spaces, Complex Anal. Oper. Theory, 2 (2008), 87-97.
Payne, L. E., Philippin, G. A., Schaefer, P. W. Bounds for blow-up time in nonlinear parabolic problems. J. Math. Anal. Appl., 338 (2008), 438-447.
E. Fricain, J. Mashreghi, Integral means of the derivatives of Blaschke products, Glasgow Mathematical Journal, 50 (2008), 233-249.
M. Dehghan, M. J. Douraki and M. Razzaghi, Global behavior of the difference equation , Chaos, Solitons & Fractals, 35 (2008), 543-549.
M. Jaberi , M. Dehghan and J. Mashreghi, Dynamics of the difference equation x_n+1=(x_n+px_n-k)/(x_n+q), Computers and Mathematics with Applications, 56 (2008), 186-198.
A. Bourhim and V. G. Miller, Linear maps on M_n(C) preserving the local spectral radius, Studia Math., 188 (2008), 67-75.
R. B. Burckel, D. E. Marshall, D. Minda, P. Poggi-Corradini, T. J. Ransford, Area, capacity and diameter versions of Schwarz's lemma, Conformal Geometry and Dynamics, 12 (2008), 133-152.
E. Fricain, J. Mashreghi, Integral representations of the n-th derivative in de Branges-Rovnyak spaces and the norm convergence of its reproducing kernel, Annales de l'Institut Fourier, 58 (2008), 2113-2135.
L.E. Payne, G.A. Philippin, P.W. Schaefer, Blow-up phenomena for some nonlinear parabolic problems, Nonlinear Anal., 69, (2008), 3495-3502.
A. Henrot, G.A. Philippin, A. Safoui, Some isoperimetric inequalities with application to the Stekloff problem, J. Convex Anal., 15, (2008), 581-592.

2007

T. Ransford and J. Rostand, Computation of capacity, Mathematics of Computation, 76 (2007), 1499-1520.
A. Bourhim and V. G. Miller, The single-valued extension property is not preserved under sums and products of commuting operators, Glasgow Math. J., 49 (2007), 99-104.
C. Costara and T. J. Ransford, On local irreducibility of the spectrum, Proc. Amer. Math. Soc. 135 (2007), 2779-2784.
J. A. Cuesta-Albertos, R. Fraiman, T. J. Ransford, A sharp form of the Cramér-Wold theorem, Journal of Theoretical Probability, 20 (2007), 201-209.
T. Ransford, On pseudospectra and power growth, SIAM J. Matrix Anal. Appl., 29 (2007), 699-711.
C. Costara, A Cartan type theorem for finite-dimensional algebras, Linear Algebra Appl., 426 (2007), 299-304.
J. Mashreghi and R. Rivard, On a conjecture about the eigenvalues of doubly stochastic matrices, Linear and Multilinear Algebra, Vol. 55 No. 5 (2007), 491-498.
J. Mashreghi, M. R. Pouryayevali, Argument of outer functions on the real line, Illinois Journal of Mathematics, Vol. 51, No. 2 (2007), 499-511.
E. Fricain, J. Mashreghi, Exceptional sets for the derivatives of Blaschke products, Trudy Sankt Peterburgskogo Matematicheskogo Obschestva, 13 (2007), 203-212 (Russian). (English translation in Proceedings of the St. Petersburg Mathematical Society, AMS translations.)
L. E. Payne, G. A. Philippin and V. Proytcheva, Continuous dependence on the geometry and on the initial time for a class of parabolic problems I, Math. Methods Appl. Sci., 30 (2007), 1885-1898.
Philippin, G. A., Proytcheva, V. Continuous dependence on the geometry and on the initial time for a class of parabolic problems II. Math. Methods Appl. Sci., 30 (2007), 1899-1912.
Gourdeau, F., Pourabbas, A., White, M. C. Simplicial cohomology of some semigroup algebras. Canad. Math. Bull., 50 (2007), 56-70.
F. Gourdeau, J. Langlois et J. Rostand, Théorème du minimax de Gustafson, Ann. Sci. Math. Québec, 31 (2007), no. 1, 41-49.

2006

T. Ransford and M. Roginskaya, Point spectra of partially power-bounded operators, J. Funct. Anal., 230 (2006), 432-445.
L. Baribeau and M. Roy, Analytic multifunctions, holomorphic motions and Hausdorff dimension in IFSs, Monatsh. Math., 147(3) (2006), 199-217.
A. Bourhim, Spectrum of bilateral shifts with operator-valued weights, Proc. Amer. Math. Soc., 134 (2006) 2131-2137.
G. A. Philippin and V. Proytcheva, Some remarks on the asymptotic behaviour of the solutions of a class of parabolic problems, Math. Methods Appl. Sci., 29 (2006), 297-307.
L. E. Payne, G. A. Philippin and S. Vernier-Piro, Blow up, decay bounds and continuous dependence inequalities for a class of quasilinear parabolic problems, Math. Methods Appl. Sci., 29 (2006), 281-295.
O. El-Fallah, K. Kellay and T. Ransford, Cyclicity in the Dirichlet space, Ark. Mat., 44 (2006), 61-86.
A. Bourhim and T. J. Ransford, Additive maps preserving local spectrum, Integral Equations Operator Theory, 55 (2006), 377-385.
J. Mashreghi, F. Nazarov and V. Havin, The Beurling-Malliavin multiplier theorem, the seventh proof, Algebra i analiz, Vol. 17, No. 5 (2005), 3-68 (Russian). English translation: St. Petersburg Mathematical Journal, Vol. 17, No. 5 (2006), 699-744.
J. A. Cuesta-Albertos, R. Fraiman, T. J. Ransford, Random projections and goodness-of-fit tests in infinite-dimensional spaces, Bulletin of the Brazilian Mathematical Society, 37 (2006), 477-501.
L. E. Payne, G. A. Philippin, A. Safoui, Continuous dependence inequalities for a class of quasilinear parabolic problems, Z. Angew. Math. Phys., 57 (2006), no. 5, 750-765.
C. Enache and G. A. Philippin, Some maximum principles for a class of elliptic boundary value problems, Math. Inequal. Appl., 9 (2006), 695-706.
Payne, L. E., Philippin, G. A., Vernier Piro, S. Decay bounds for solutions of second order parabolic problems and their derivatives IV. Appl. Anal. 85 (2006), 293-302.

2005

J. Mashreghi and T. J. Ransford, Binomial sums and functions of exponential type, Bull. London Math. Soc. 37 (2005), 15-24.
T. Ransford, Eigenvalues and power growth, Israel J. Math., 146 (2005), 93-110.
F. Gourdeau, Z. A. Lykova and M. C. White, A Künneth formula in topological homology and its applications to the simplicial cohomology of l¹(Z₊^k), Studia Math., 166 (2005), 29--54.
C. Costara, On the 2×2 spectral Nevanlinna-Pick problem, J. London Math. Soc., 71 (2005), 684-702.
C. Costara, On the spectral Nevanlinna Pick problem, Studia Math., 170 (2005), 23-55.
T. Ransford and M. Valley, Subharmonicity in von Neumann algebras, Studia Math., 170 (2005), 219-226.
F. Gourdeau, B. E. Johnson and M. C. White, The cyclic and simplicial cohomology of l¹(N), Trans. Amer. Math. Soc., 357, (2005) 5097-5113.
D. Guillot and T. J. Ransford, Bloch's theorem for algebroid multifunctions II, Math. Proc. R. Ir. Acad., 105A(2) (2005), 103-109.
E. Fricain, Bases of reproducing kernels in de-Branges spaces, J. Funct. Anal., 226 (2005), 373-405.
P. Vitse, Functional calculus estimates under Kreiss type conditions, Math. Nachr., 278 (2005), 1811-1822.
M. Roy and M. Urbański, Regularity properties of hausdorff dimension in infinite conformal IFS, Ergodic Theory Dynam. Systems, 25 (2005), 1961-1983.
J. Mashreghi, Generalized Lipschitz functions, Comput. Methods Funct. Theory, Vol. 5, No. 2 (2005), 431-444.
J. Mashreghi, Mohamad R. Pouryayevali, On the regularity of S-differential metric, Canad. Math. Bull., Vol. 48, No. 4 (2005), 601-606.

2004

O. El-Fallah and T. J. Ransford, Peripheral point spectrum and growth of powers of operators, J. Operator Theory, 52 (2004), 89-101.
A. Blanco, S. Kaijser and T. J. Ransford, Real interpolation of Banach algebras and factorization of weakly compact homomorphisms, J. Funct. Anal., 217 (2004), 126-141.
J. Mashreghi and T. J. Ransford, Using entire functions to analyse power growth, Proceedings of Banach Algebras and Their Applications, (Eds. T. Lau, V. Runde), Contemp. Math. 263, 235-240, American Mathematical Society, Providence RI, 2004.
I. Chalendar, L. Habsieger, J. R. Partington and T. J. Ransford, Approximate Carleman theorems and a Denjoy-Carleman maximum principle, Arch. Math. (Basel), 83 (2004), 88-96.
P. Vitse, Functional calculus under the Tadmor-Ritt condition, and free interpolation by polynomials of a given degree, J. Funct. Anal., 210 (2004), 43-72.
C. Costara, The symmetrized bidisc and Lempert's theorem, Bull. London Math. Soc., 36 (2004), 656-662.
G. Blower and T. J. Ransford, Complex Uniform Convexity and Riesz Measures, Canad. J. Math., 56 (2004), 225-245.
L. Baribeau, D. Brunet, T. Ransford and J. Rostand, Iterated function systems, capacity and Green's functions, Comput. Methods Funct. Theory, 4 (2004), No. 1, 47-58.
F. Gourdeau, Z. A. Lykova and M. C. White, The simplicial Cohomology of L¹(R₊^k), Proceedings of Banach Algebras 2003, Contemp. Math. 263, 95-110, American Mathematical Society, Providence RI, 2004.
A. Blanco, M. Boumazgour and T. J. Ransford, On the norm of elementary operators, J. London Math. Soc. 70 (2004), 479-498.
Philippin, G. A. and Safoui, A., Some minimum principles for a class of elliptic boundary value problems. Appl. Anal. 83 (2004), no. 3, 231-241.
P. Vitse, The Riesz turndown collar theorem giving an asymptotic estimate of the powers of an operator under the Ritt condition, Rend. Circ. Mat. Palermo (2) 53 (2004), 283-312.

2003

P. Vitse, Few more remarks on the operator valued corona problem, Acta Sci. Math. (Szeged), 69 (2003), 831-852.
J. Rostand, On the automorphisms of the spectral unit ball, Studia Math., 155:3 (2003), 207-230.
P. Vitse, Smooth operators in the commutant of a contraction, Studia Math., 155:3 (2003), 241-263.
P. Vitse, A tensor product approach to the Operator Corona Problem, J. Operator Theory, 50 (2003), 179-208.
V. Havin and J. Mashreghi, Admissible majorants for model subspaces of H²(R), Part I: slow winding of the generating inner function, Canad. J. Math., 55 (2003), 1231-1263.
V. Havin and J. Mashreghi, Admissible majorants for model subspaces of H²(R), Part II: fast winding of the generating inner function, Canad. J. Math., 55 (2003), 1264-1301.
J. Mashreghi, A new proof of Levy's theorem, Ital. J. Pure Appl. Math., No. 12 (2002), 113-117 (2003).
Philippin, G. A. and Safoui, A., Some applications of the maximum principle to a variety of fully nonlinear elliptic PDE's. Special issue dedicated to Lawrence E. Payne. Z. Angew. Math. Phys. 54 (2003), no. 5, 739-755.
Henrot, A. and Philippin, G. A. Approximate radial symmetry for solutions of a class of boundary value problems in ring-shaped domains. Special issue dedicated to Lawrence E. Payne. Z. Angew. Math. Phys. 54 (2003), no. 5, 784-796.

2002

N. Levenberg, T. J. Ransford, J. Rostand and Z. Slodkowski, Countability via Capacity, Math. Z., 242 (2002), 399-406.
O. El-Fallah and T. J. Ransford, Extremal growth of powers of operators satisfying resolvent conditions of Kreiss-Ritt type, J. Funct. Anal., 196 (2002), 135-154.
Y. Langlois and T. J. Ransford, Counterexample to a conjecture of Elsner on the spectral variation of matrices, Linear Algebra Appl., 349 (2002), 193-195.
J. Mashreghi, Hilbert transform of log |f |, Proc. Amer. Math. Soc., 130 (2002), pp. 683-688.
J. Mashreghi, Expanding a finite Blaschke product, Complex Var. Theory Appl., Vol. 47 (2002), No. 3, pp. 255-258.
J. Mashreghi, Extending functions in the model subspaces of H²(R) to C, Bull. Iranian Math. Soc., Vol. 28 (2002), No. 1, pp. 43-55.
W. Hengartner and G. Opfer, Complex Haar spaces generated by shifts applied to a single function, Approximation theory, X (St. Louis, MO, 2001), 223-238.
B. Aupetit and A. Maouche, Trace and determinant in Jordan-Banach algebras, Publ. Mat. 46 (2002), no. 1, 3-16.
G. A. Philippin and S. Vernier Piro, Comparison results for solutions of reaction diffusion problems, Glasg. Math. J. 44 (2002), 483-495.

2001

T. J. Ransford and M. C. White, Spectral characterization of algebraic elements, Bull. London Math. Soc., 33 (2001), 77-82.
F. Gourdeau and M.C. White, Vanishing of the Third Simplicial Cohomology Group of l¹(Z+), Trans. Amer. Math. Soc., 353:5, 2001, 2003-2017.
Cole, B. J. et Ransford, T. J., Jensen measures and harmonic measures, J. Reine Angew. Math., 541 (2001), 29-53.
T. J. Ransford, Jensen Measures, Proceedings of NATO ASI on Approximation, Complex Analysis and Potential Theory, N. Arakelian and P. Gauthier (eds.), 221-237, Kluwer Academic Publishers, Dordrecht, 2001.
M. J. Crabb, J. Duncan, C. M. McGregor and T. J. Ransford, Hermitian powers: A Müntz theorem and extremal algebras, Studia Math. 146 (2001), 83-97.
A. Nokrane and T. J. Ransford, Schwarz's Lemma for Algebroid Multifunctions, Complex Variables Theory Appl., 45 (2001), 183-196.
T. J. Ransford, Almost-everywhere discontinuity of the spectral radius, Proc. Amer. Math. Soc., 129 (2001), 749-751.
Y. Chen, The spectra of closed interpolated operators, Integral Equations Operator Theory 41 (2001), 255-263.
K. Kellay, Fonctions intérieures et vecteurs bicycliques, Arch. Math. (Basel) 77 (2001), 253-264.
G. A. Philippin and A. Safoui, Some maximum principles and symmetry results for a class of boundary value problems involving the Monge-Ampère equation, Math. Models Methods Appl. Sci. 11 (2001), no. 6, 1073-1080.
G. A. Philippin and S. Vernier-Piro, Decay estimates for solutions of a class of parabolic problems arising in filtration through porous media, Boll. Unione Mat. Ital. Sez. B Artic. Ric. Mat. (8) 4 (2001), no. 2, 473-481.
D. Bshouty, W. Hengartner, A. Lyzzaik and A. Weitsman, Valency of harmonic mappings onto bounded convex domains, Comput. Methods Funct. Theory 1 (2001), no. 2, 479-499.
Z. Abdulhadi and W. Hengartner, Polynomials in , Complex Variables Theory Appl., 46 (2001), no. 2, 89-107.
B. Aupetit et M. E.-C. El Kettani, Un théorème de Montel pour les multifonctions analytiques finies de degré fixé, Ann. Sci. Math. Québec 25 (2001), no. 1, 17-22.
B. Aupetit et M. E.-C. El Kettani, Le grand théorème de Picard pour les multifonctions analytiques finies, Ann. Polon. Math. 77 (2001), no. 2, 189-196.
G. A. Philippin and S. Vernier-Piro, Applications of the maximum principle to a variety of problems involving elliptic and parabolic equations, Proceedings of the Third World Congress of Nonlinear Analysts, Part 1 (Catania, 2000). Nonlinear Anal. 47 (2001), no. 1, 661-679.

2000

I. Chalendar, K. Kellay and T. J. Ransford, Binomial sums, moments and invariant subspaces, Israel J. Math. 115 (2000), 303-320.
L. Baribeau and T. J. Ransford, Non-linear spectrum-preserving maps, Bull. London Math. Soc. 32 (2000), 8-14.
L. Baribeau and T. J. Ransford, On the set of discrete two-generator groups, Math. Proc. Cambridge Philos. Soc., 128 (2000), 245-255.
J. E. Galé and T. J. Ransford, On the growth of analytic semigroups along vertical lines, Studia Math., 138 (2000), 165-177.
Y. Chen, A. Nokrane and T. J. Ransford, Estimates for the spectrum near algebraic elements, Linear Algebra Appl., 308 (2000), 153-161.
P. Lacasse and T. J. Ransford, A Bloch theorem for algebroid multifunctions, Math. Proc. R. Ir. Acad. 100A (2000), 219-225.
L. Baribeau et S. Roy, Caractérisation spectrale de la forme de Jordan, Linear Algebra Appl., 320 (2000), 183-191.
M. Mbekhta and H. Skhiri, Partial isometries: factorization and connected components, Integral Equations Operator Theory, 38 (2000), 334-349.
G. A. Philippin and S. Vernier-Piro, Decay estimates for solutions of various parabolic problems, VI Workshop on Partial Differential Equations, Part II (Rio de Janeiro, 1999), Mat. Contemp., 19 (2000), 89-103.
L. E. Payne and G. A. Philippin, On the spatial decay of solutions to a quasi-linear parabolic initial-boundary value problem and their derivatives, SIAM J. Math. Anal., 32 (2000), no. 2, 291-303.
D. Bshouty and W. Hengartner, Univalent harmonic mappings with Blaschke dilatations, Mathematics & mathematics education (Bethlehem, 2000), 82-89.
D. Bshouty and W. Hengartner, On the valency of a polynomial in , Dedicated to Professor Zdzislaw Lewandowski on the occasion of his seventieth birthday, Ann. Univ. Mariae Curie-Sklodowska Sect. A 54 (2000), 21-25.
H. Chen, P. M. Gauthier and W. Hengartner, Bloch constants for planar harmonic mappings, Proc. Amer. Math. Soc. 128 (2000), no. 11, 3231-3240.
B. Aupetit, Spectrum-preserving linear mappings between Banach algebras or Jordan-Banach algebras, J. London Math. Soc. (2) 62 (2000), no. 3, 917-924.
B. Aupetit and M. Mathieu, The continuity of Lie homomorphisms, Studia Math. 138 (2000), no. 2, 193-199.

1999

T. J. Ransford, A new approach to analytic multifunctions, Set-Valued Anal., 7 (1999), 159-194.
A. Henrot, G. A. Philippin and H. Prébet, Overdetermined problems on ring shaped domains, Adv. Math. Sci. Appl. 9 (1999), no. 2, 737-747.
G. A. Philippin and S. Vernier Piro, Explicit exponential decay bounds in quasilinear parabolic problems, J. Inequal. Appl. 3 (1999), no. 1, 1-23.
G. A. Philippin and A. Safoui, Some overdetermined parabolic problems, Math. Methods Appl. Sci. 22 (1999), no. 10, 791-799.
G. A. Philippin and S. Vernier-Piro, Explicit decay bounds in some quasilinear one-dimensional parabolic problems, Math. Methods Appl. Sci. 22 (1999), no. 2, 101-109.
D. Bshouty, W. Hengartner and M. Naghibi-Beidokhti, p-valent harmonic mappings with finite Blaschke dilatations, XII-th Conference on Analytic Functions (Lublin, 1998), Ann. Univ. Mariae Curie-Sklodowska Sect. A 53 (1999), 9-26.
D. Bshouty and W. Hengartner, Exterior univalent harmonic mappings with finite Blaschke dilatations, Canad. J. Math. 51 (1999), no. 3, 470-487.
D. Bshouty, W. Hengartner, Walter and M.-H. Nicole, A constructive method for univalent harmonic exterior maps with Blaschke dilatation, Computational methods and function theory 1997 (Nicosia), 99-115, Ser. Approx. Decompos., 11, World Sci. Publishing, River Edge, NJ, 1999.
B. Aupetit and D. Drissi, Conformal transformations of dissipative operators, Math. Proc. R. Ir. Acad. 99A (1999), no. 2, 141-153.

1998

A. Henrot and G. A. Philippin, Some overdetermined boundary value problems with elliptical free boundaries, SIAM J. Math. Anal. 29 (1998), no. 2, 309-320.
B. Aupetit, Sur les transformations qui conservent le spectre, Banach algebras '97 (Blaubeuren), 55-78, de Gruyter, Berlin, 1998.
B. Aupetit, Trace and spectrum preserving linear mappings in Jordan-Banach algebras, Monatsh. Math. 125 (1998), no. 3, 179-187.

1997

J. Rostand, Computing logarithmic capacity with linear programming, Experiment. Math., 6:3 (1997), 221-238. [Full article: ps (1.1M)]
F. Gourdeau, Amenability and the second dual of a Banach algebra, Studia Math. 125:1 (1997), 75-81.
C. Bélisle, J.-C. Massé and T. J. Ransford, When is a probability measure determined by infinitely many projections?, Ann. Probab., 25 (1997), 767-786.
B. J. Cole and T. J. Ransford, Subharmonicity without upper semicontinuity, J. Funct. Anal., 147 (1997), 420-442.
T. J. Ransford, Norm inequalities for holomorphic semigroups, Israel J. Math., 97 (1997), 157-173.
A. Henrot and G. A. Philippin, On a class of overdetermined eigenvalue problems, Math. Methods Appl. Sci. 20 (1997), no. 11, 905-914.
P. Duren and W. Hengartner, Harmonic mappings of multiply connected domains, Pacific J. Math. 180 (1997), no. 2, 201-220.
D. Bshouty and W. Hengartner, Boundary values versus dilatations of harmonic mappings, J. Anal. Math. 72 (1997), 141-164.
Z. Abdulhadi and W. Hengartner, Canonical point mappings in , Bull. Austral. Math. Soc. 56 (1997), no. 2, 239-242.
B. Aupetit, On log-subharmonicity of singular values of matrices, Studia Math. 122 (1997), no. 2, 195-200.

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