Edit Profile (opens in new tab) Axler, Sheldon Jay Co-Author Distance Author ID: axler.sheldon Published as: Axler, Sheldon Homepage: http://www.axler.net/ External Links: MGP · ORCID · Wikidata · Google Scholar · Twitter · dblp · GND · IdRef Documents Indexed: 44 Publications since 1977, including 8 Books 3 Contributions as Editor Co-Authors: 30 Co-Authors with 30 Joint Publications 783 Co-Co-Authors all top 5 Co-Authors 17 single-authored 7 Shields, Allen L. 4 Bourdon, Paul S. 4 Gorkin, Pamela B. 4 Ramey, Wade C. 4 Sarason, Donald Erik 3 Jewell, Nicholas P. 3 Zheng, Dechao 2 Berg, I. David 2 Čučković, Željko 2 McCarthy, John Edward 2 Rosenthal, Peter 1 Benedetto, John Joseph 1 Bhatia, Rajendra 1 Chang, Sun-Yung Alice 1 Choi, Man-Duen 1 Conway, John B. 1 Davis Taïeb, Hannah 1 Davis, Aaron 1 Davis, Natalie Zemon 1 Davis, Simone Weil 1 Friedlander, John Benjamin 1 Gray, Mary Wheat 1 Halperin, Stephen 1 McDonald, Gerard 1 Rao, Nagisetty Venkateswara 1 Senechal, Marjorie Wikler 1 Shapiro, Joel H. 1 Shin, Peter J. 1 Voss, Karl 1 Zhu, Kehe all top 5 Serials 4 American Mathematical Monthly 3 Indiana University Mathematics Journal 3 Michigan Mathematical Journal 3 Proceedings of the American Mathematical Society 3 Transactions of the American Mathematical Society 3 Annals of Mathematics. Second Series 3 Graduate Texts in Mathematics 3 Undergraduate Texts in Mathematics 2 Integral Equations and Operator Theory 2 Mathematical Sciences Research Institute Publications 1 Studia Mathematica 1 Mathematics of Computation 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Duke Mathematical Journal 1 Journal of Functional Analysis 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Pacific Journal of Mathematics 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Notices of the American Mathematical Society 1 Journal of Applied Mathematics and Computing 1 Operator Theory: Advances and Applications all top 5 Fields 21 Operator theory (47-XX) 18 Functional analysis (46-XX) 15 Functions of a complex variable (30-XX) 8 Potential theory (31-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Several complex variables and analytic spaces (32-XX) 4 General and overarching topics; collections (00-XX) 4 History and biography (01-XX) 2 Mathematics education (97-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Partial differential equations (35-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 43 Publications have been cited 1,542 times in 1,335 Documents Cited by ▼ Year ▼ Harmonic function theory. 2nd ed. Zbl 0959.31001 Axler, Sheldon; Bourdon, Paul; Ramey, Wade 391 2001 Harmonic function theory. Zbl 0765.31001 Axler, Sheldon; Bourdon, Paul; Ramey, Wade 205 1992 Compact operators via the Berezin transform. Zbl 0914.47029 Axler, Sheldon; Zheng, Dechao 109 1998 Commuting Toeplitz operators with harmonic symbols. Zbl 0733.47027 Axler, Sheldon; Čučković, Željko 97 1991 The Bergman space, the Bloch space, and commutators of multiplication operators. Zbl 0633.47014 Axler, Sheldon 85 1986 Linear algebra done right. 3rd ed. Zbl 1304.15001 Axler, Sheldon 66 2015 Products of Toeplitz operators. Zbl 0396.47017 Axler, Sheldon; Chang, Sun-Yung A.; Sarason, Donald 66 1978 Bergman spaces and their operators. Zbl 0681.47006 Axler, Sheldon 55 1988 Commutants of analytic Toeplitz operators on the Bergman space. Zbl 0947.47023 Axler, Sheldon; Čučković, Željko; Rao, N. V. 40 2000 Linear algebra done right. 2nd ed. Zbl 0886.15001 Axler, Sheldon 39 1997 Toeplitz operators on Bergman spaces. Zbl 0452.47032 Axler, Sheldon; Conway, John B.; McDonald, Gerard 38 1982 Harmonic functions from a complex analysis viewpoint. Zbl 0604.31001 Axler, Sheldon 35 1986 The Berezin transform on the Toeplitz algebra. Zbl 0915.47022 Axler, Sheldon; Zheng, Dechao 33 1998 Multiplication operators on Bergman spaces. Zbl 0484.30033 Axler, Sheldon 27 1982 Approximation by compact operators and the space \(H^\infty +C\). Zbl 0399.47024 Axler, Sheldon; Berg, I. David; Jewell, Nicholas; Shields, Allen 22 1979 The essential norm of an operator and its adjoint. Zbl 0434.41016 Axler, Sheldon; Jewell, Nicholas; Shields, Allen 21 1980 Univalent multipliers of the Dirichlet space. Zbl 0567.30036 Axler, Sheldon; Shields, Allen L. 18 1985 Algebras generated by analytic and harmonic functions. Zbl 0616.46048 Axler, Sheldon; Shields, Allen 17 1987 Algebras on the disk and doubly commuting multiplication operators. Zbl 0706.46040 Axler, Sheldon; Gorkin, Pamela 17 1988 Divisibility in Douglas algebras. Zbl 0597.46054 Axler, Sheldon; Gorkin, Pamela 16 1984 Harmonic polynomials and Dirichlet-type problems. Zbl 0848.31002 Axler, Sheldon; Ramey, Wade 15 1995 The Dirichlet problem on quadratic surfaces. Zbl 1040.31003 Axler, Sheldon; Gorkin, Pamela; Voss, Karl 14 2004 Factorization of \(L^\infty\) functions. Zbl 0373.46063 Axler, Sheldon 11 1977 Finite codimensional invariant subspaces of Bergman spaces. Zbl 0658.47011 Axler, Sheldon; Bourdon, Paul 10 1988 Boundary behavior of derivatives of analytic functions. Zbl 0769.30020 Axler, Sheldon; Zhu, Kehe 10 1992 Zero multipliers of Bergman spaces. Zbl 0578.32010 Axler, Sheldon 10 1985 Sequences in the maximal ideal space of \(H^{\infty}\). Zbl 0703.46037 Axler, Sheldon; Gorkin, Pamela 9 1990 Down with determinants! Zbl 0845.15004 Axler, Sheldon 9 1995 Bôcher’s theorem. Zbl 0758.31002 Axler, Sheldon; Bourdon, Paul; Ramey, Wade 7 1992 Putnam’s theorem, Alexander’s spectral area estimate, and VMO. Zbl 0541.30021 Axler, Sheldon; Shapiro, Joel H. 7 1985 Measure, integration & real analysis. Zbl 1435.28001 Axler, Sheldon 7 2020 Toeplitz operators. Zbl 1217.47056 Axler, Sheldon 6 2010 Extensions of harmonic and analytic functions. Zbl 0732.30026 Axler, Sheldon; Shields, Allen 6 1990 Linear algebra done right. Zbl 0843.15002 Axler, Sheldon 5 1995 Approximation by compact operators and the space \(H^\infty +C\). Zbl 0387.47018 Axler, Sheldon; Berg, I. David; Jewell, Nicholas; Shields, Allen 4 1979 Holomorphic spaces. Zbl 0893.00015 4 1998 Interpolation by multipliers of the Dirichlet space. Zbl 0768.30023 Axler, Sheldon 3 1992 Paul Halmos and Toeplitz operators. Zbl 0810.47021 Axler, Sheldon 3 1991 The dual of \(H^1\). Zbl 0444.30024 Axler, Sheldon 1 1980 Extreme points in VMO and BMO. Zbl 0451.30028 Axler, Sheldon; Shields, Allen 1 1982 Toeplitz algebras on the disk. Zbl 1142.46022 Axler, Sheldon; Zheng, Dechao 1 2007 Precalculus. A prelude to calculus. With student solutions manual. 2nd ed. Zbl 1269.97001 Axler, Sheldon 1 2013 Linear algebra done right. 4th edition. Zbl 1531.15001 Axler, Sheldon 1 2024 Linear algebra done right. 4th edition. Zbl 1531.15001 Axler, Sheldon 1 2024 Measure, integration & real analysis. Zbl 1435.28001 Axler, Sheldon 7 2020 Linear algebra done right. 3rd ed. Zbl 1304.15001 Axler, Sheldon 66 2015 Precalculus. A prelude to calculus. With student solutions manual. 2nd ed. Zbl 1269.97001 Axler, Sheldon 1 2013 Toeplitz operators. Zbl 1217.47056 Axler, Sheldon 6 2010 Toeplitz algebras on the disk. Zbl 1142.46022 Axler, Sheldon; Zheng, Dechao 1 2007 The Dirichlet problem on quadratic surfaces. Zbl 1040.31003 Axler, Sheldon; Gorkin, Pamela; Voss, Karl 14 2004 Harmonic function theory. 2nd ed. Zbl 0959.31001 Axler, Sheldon; Bourdon, Paul; Ramey, Wade 391 2001 Commutants of analytic Toeplitz operators on the Bergman space. Zbl 0947.47023 Axler, Sheldon; Čučković, Željko; Rao, N. V. 40 2000 Compact operators via the Berezin transform. Zbl 0914.47029 Axler, Sheldon; Zheng, Dechao 109 1998 The Berezin transform on the Toeplitz algebra. Zbl 0915.47022 Axler, Sheldon; Zheng, Dechao 33 1998 Holomorphic spaces. Zbl 0893.00015 4 1998 Linear algebra done right. 2nd ed. Zbl 0886.15001 Axler, Sheldon 39 1997 Harmonic polynomials and Dirichlet-type problems. Zbl 0848.31002 Axler, Sheldon; Ramey, Wade 15 1995 Down with determinants! Zbl 0845.15004 Axler, Sheldon 9 1995 Linear algebra done right. Zbl 0843.15002 Axler, Sheldon 5 1995 Harmonic function theory. Zbl 0765.31001 Axler, Sheldon; Bourdon, Paul; Ramey, Wade 205 1992 Boundary behavior of derivatives of analytic functions. Zbl 0769.30020 Axler, Sheldon; Zhu, Kehe 10 1992 Bôcher’s theorem. Zbl 0758.31002 Axler, Sheldon; Bourdon, Paul; Ramey, Wade 7 1992 Interpolation by multipliers of the Dirichlet space. Zbl 0768.30023 Axler, Sheldon 3 1992 Commuting Toeplitz operators with harmonic symbols. Zbl 0733.47027 Axler, Sheldon; Čučković, Željko 97 1991 Paul Halmos and Toeplitz operators. Zbl 0810.47021 Axler, Sheldon 3 1991 Sequences in the maximal ideal space of \(H^{\infty}\). Zbl 0703.46037 Axler, Sheldon; Gorkin, Pamela 9 1990 Extensions of harmonic and analytic functions. Zbl 0732.30026 Axler, Sheldon; Shields, Allen 6 1990 Bergman spaces and their operators. Zbl 0681.47006 Axler, Sheldon 55 1988 Algebras on the disk and doubly commuting multiplication operators. Zbl 0706.46040 Axler, Sheldon; Gorkin, Pamela 17 1988 Finite codimensional invariant subspaces of Bergman spaces. Zbl 0658.47011 Axler, Sheldon; Bourdon, Paul 10 1988 Algebras generated by analytic and harmonic functions. Zbl 0616.46048 Axler, Sheldon; Shields, Allen 17 1987 The Bergman space, the Bloch space, and commutators of multiplication operators. Zbl 0633.47014 Axler, Sheldon 85 1986 Harmonic functions from a complex analysis viewpoint. Zbl 0604.31001 Axler, Sheldon 35 1986 Univalent multipliers of the Dirichlet space. Zbl 0567.30036 Axler, Sheldon; Shields, Allen L. 18 1985 Zero multipliers of Bergman spaces. Zbl 0578.32010 Axler, Sheldon 10 1985 Putnam’s theorem, Alexander’s spectral area estimate, and VMO. Zbl 0541.30021 Axler, Sheldon; Shapiro, Joel H. 7 1985 Divisibility in Douglas algebras. Zbl 0597.46054 Axler, Sheldon; Gorkin, Pamela 16 1984 Toeplitz operators on Bergman spaces. Zbl 0452.47032 Axler, Sheldon; Conway, John B.; McDonald, Gerard 38 1982 Multiplication operators on Bergman spaces. Zbl 0484.30033 Axler, Sheldon 27 1982 Extreme points in VMO and BMO. Zbl 0451.30028 Axler, Sheldon; Shields, Allen 1 1982 The essential norm of an operator and its adjoint. Zbl 0434.41016 Axler, Sheldon; Jewell, Nicholas; Shields, Allen 21 1980 The dual of \(H^1\). Zbl 0444.30024 Axler, Sheldon 1 1980 Approximation by compact operators and the space \(H^\infty +C\). Zbl 0399.47024 Axler, Sheldon; Berg, I. David; Jewell, Nicholas; Shields, Allen 22 1979 Approximation by compact operators and the space \(H^\infty +C\). Zbl 0387.47018 Axler, Sheldon; Berg, I. David; Jewell, Nicholas; Shields, Allen 4 1979 Products of Toeplitz operators. Zbl 0396.47017 Axler, Sheldon; Chang, Sun-Yung A.; Sarason, Donald 66 1978 Factorization of \(L^\infty\) functions. Zbl 0373.46063 Axler, Sheldon 11 1977 all cited Publications top 5 cited Publications all top 5 Cited by 1,547 Authors 29 Zheng, Dechao 26 Choe, Boo Rim 26 Kalaj, David 25 Lu, Yufeng 22 Lee, Young Joo 20 Koo, Hyungwoon 16 Gorkin, Pamela B. 13 Yu, Tao 13 Zhu, Kehe 12 Cao, Guangfu 12 Render, Hermann 11 Ding, Xuanhao 11 Şahutoğlu, Sönmez 11 Wick, Brett Duane 10 Čučković, Željko 10 Garayev, Mübariz Tapdıgoğlu 10 Izuchi, Keiji 10 Mateljević, Miodrag S. 10 Mortini, Raymond 9 Axler, Sheldon Jay 9 Dong, Xingtang 9 Lee, Jun Ik 9 Leutwiler, Heinz 9 Üreyen, Adem Ersin 9 Virtanen, Jani A. 8 Bauer, Wolfram 8 Chen, Yong 8 Liu, Congwen 8 Nam, Kyesook 8 Stroethoff, Karel 8 Taskinen, Jari 7 Das, Namita 7 Gu, Caixing 7 Guo, Kunyu 7 Kaptanoglu, H. Turgay 7 Le, Trieu 7 Lindström, Mikael 7 Zhao, Xianfeng 6 Dyakonov, Konstantin M. 6 Guediri, Hocine 6 Hu, Zhangjian 6 Na, Kyunguk 6 Pavlović, Miroslav 6 Trefethen, Lloyd Nicholas 6 Wu, Zhijian 6 Yi, Heungsu 6 Zeytuncu, Yunus Ergýn 6 Zhou, Zehua 5 Chen, Shaolin 5 Clos, Timothy G. 5 Doğan, Ömer Faruk 5 Estrada, Ricardo 5 Ghatage, Pratibha G. 5 Gürlebeck, Klaus 5 Hagger, Raffael 5 He, Li 5 Ko, Eungil 5 Kounchev, Ognyan Ivanov 5 Liu, Liu 5 Louhichi, Issam 5 Mitkovski, Mishko 5 Nakai, Mitsuru 5 Perälä, Antti Ilmari 5 Perotti, Alessandro 5 Ross, William T. 5 Ryan, John 5 Wagner, Nathan A. 5 Xu, Hongyan 5 Younis, Rahman M. 5 Zorboska, Nina 4 Armitage, David H. 4 Avetisyan, Karen L. 4 Castillo, René Erlín 4 Coburn, Lewis A. 4 De Bie, Hendrik 4 Ding, Chao 4 Engliš, Miroslav 4 Galindo, Pablo 4 Grzebuła, Hubert 4 Gurdal, Mehmet 4 Hu, Yinyin 4 Izzo, Alexander John 4 Jevtić, Miroljub 4 Kähler, Uwe 4 Karapetyants, Alekseĭ Nikolaevich 4 Khabibullin, Bulat Nurmievich 4 Khalfallah, Adel 4 Lee, Jieun 4 Leiva, Hugo 4 Li, Yucheng 4 Ma, Pan 4 Menegatto, Valdir Antonio 4 Olofsson, Anders 4 Ponnusamy, Saminathan 4 Qiao, Lei 4 Raimondo, Roberto C. 4 Sadraoui, Houcine 4 Sang, Yuanqi 4 Sehba, Benoit Florent 4 Sun, Shunhua ...and 1,447 more Authors all top 5 Cited in 329 Serials 116 Journal of Mathematical Analysis and Applications 70 Journal of Functional Analysis 65 Complex Analysis and Operator Theory 61 Proceedings of the American Mathematical Society 52 Integral Equations and Operator Theory 37 Transactions of the American Mathematical Society 21 Acta Mathematica Sinica. English Series 19 Potential Analysis 19 Complex Variables and Elliptic Equations 18 Advances in Mathematics 17 Computational Methods and Function Theory 15 Rocky Mountain Journal of Mathematics 13 Abstract and Applied Analysis 12 Mathematical Methods in the Applied Sciences 12 The Journal of Geometric Analysis 11 Bulletin of the Australian Mathematical Society 11 Journal d’Analyse Mathématique 11 Journal of Mathematical Sciences (New York) 11 Advances in Applied Clifford Algebras 10 Journal of Differential Equations 10 Mathematische Zeitschrift 10 Revista Matemática Iberoamericana 10 Linear Algebra and its Applications 10 The Journal of Fourier Analysis and Applications 9 Archiv der Mathematik 9 Czechoslovak Mathematical Journal 9 Journal of Inequalities and Applications 8 Arkiv för Matematik 8 Journal of Computational and Applied Mathematics 8 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 8 Operators and Matrices 7 Duke Mathematical Journal 7 Monatshefte für Mathematik 7 Results in Mathematics 7 St. Petersburg Mathematical Journal 7 Positivity 6 American Mathematical Monthly 6 Israel Journal of Mathematics 6 Illinois Journal of Mathematics 6 International Journal of Mathematics and Mathematical Sciences 6 Mathematische Annalen 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Proceedings of the Edinburgh Mathematical Society. Series II 6 Rendiconti del Circolo Matemàtico di Palermo. Serie II 6 Tôhoku Mathematical Journal. Second Series 6 Constructive Approximation 6 Indagationes Mathematicae. New Series 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Banach Journal of Mathematical Analysis 6 Annals of Functional Analysis 6 Journal of Function Spaces 5 Bulletin of the London Mathematical Society 5 Glasgow Mathematical Journal 5 Journal of Approximation Theory 5 Chinese Annals of Mathematics. Series B 5 Acta Mathematica Hungarica 5 International Journal of Mathematics 5 Calculus of Variations and Partial Differential Equations 5 Journal of the Australian Mathematical Society 5 Acta Mathematica Scientia. Series B. (English Edition) 5 Journal of Function Spaces and Applications 5 Mediterranean Journal of Mathematics 5 Boundary Value Problems 5 Science China. Mathematics 4 Analysis Mathematica 4 Journal of the Mathematical Society of Japan 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 4 SIAM Journal on Scientific Computing 4 Turkish Journal of Mathematics 4 Discrete and Continuous Dynamical Systems 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 Journal of Physics A: Mathematical and Theoretical 4 Concrete Operators 3 Computers & Mathematics with Applications 3 Communications in Mathematical Physics 3 Journal of Computational Physics 3 Journal of Mathematical Physics 3 Mathematical Notes 3 Studia Mathematica 3 Ukrainian Mathematical Journal 3 Mathematics of Computation 3 Acta Scientiarum Mathematicarum 3 Functiones et Approximatio. Commentarii Mathematici 3 Mathematische Nachrichten 3 Nagoya Mathematical Journal 3 Proceedings of the Japan Academy. Series A 3 SIAM Journal on Numerical Analysis 3 Zeitschrift für Analysis und ihre Anwendungen 3 Computer Aided Geometric Design 3 Acta Mathematica Sinica. New Series 3 Filomat 3 Bulletin des Sciences Mathématiques 3 Annales Academiae Scientiarum Fennicae. Mathematica 3 Communications in Nonlinear Science and Numerical Simulation 3 Lobachevskii Journal of Mathematics 3 Miscelánea Matemática 3 The College Mathematics Journal 3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 3 Analysis and Mathematical Physics ...and 229 more Serials all top 5 Cited in 61 Fields 525 Operator theory (47-XX) 340 Functions of a complex variable (30-XX) 278 Functional analysis (46-XX) 263 Potential theory (31-XX) 207 Several complex variables and analytic spaces (32-XX) 188 Partial differential equations (35-XX) 58 Harmonic analysis on Euclidean spaces (42-XX) 48 Numerical analysis (65-XX) 41 Linear and multilinear algebra; matrix theory (15-XX) 40 Differential geometry (53-XX) 34 Special functions (33-XX) 33 Approximations and expansions (41-XX) 29 Probability theory and stochastic processes (60-XX) 28 Real functions (26-XX) 24 Quantum theory (81-XX) 20 Computer science (68-XX) 16 Combinatorics (05-XX) 16 Convex and discrete geometry (52-XX) 16 Fluid mechanics (76-XX) 15 Algebraic geometry (14-XX) 15 Ordinary differential equations (34-XX) 15 Abstract harmonic analysis (43-XX) 15 Integral transforms, operational calculus (44-XX) 15 Integral equations (45-XX) 15 Global analysis, analysis on manifolds (58-XX) 14 Number theory (11-XX) 14 Statistics (62-XX) 13 Dynamical systems and ergodic theory (37-XX) 13 Systems theory; control (93-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 10 Operations research, mathematical programming (90-XX) 10 Biology and other natural sciences (92-XX) 9 Mechanics of deformable solids (74-XX) 9 Statistical mechanics, structure of matter (82-XX) 9 Information and communication theory, circuits (94-XX) 8 Topological groups, Lie groups (22-XX) 8 Measure and integration (28-XX) 8 Relativity and gravitational theory (83-XX) 7 Mathematical logic and foundations (03-XX) 7 Manifolds and cell complexes (57-XX) 6 Optics, electromagnetic theory (78-XX) 5 General and overarching topics; collections (00-XX) 5 Field theory and polynomials (12-XX) 5 Commutative algebra (13-XX) 5 Geophysics (86-XX) 4 Associative rings and algebras (16-XX) 4 Geometry (51-XX) 4 General topology (54-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Mathematics education (97-XX) 3 Group theory and generalizations (20-XX) 3 Mechanics of particles and systems (70-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Nonassociative rings and algebras (17-XX) 2 Category theory; homological algebra (18-XX) 2 Difference and functional equations (39-XX) 2 Sequences, series, summability (40-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 History and biography (01-XX) 1 \(K\)-theory (19-XX) 1 Algebraic topology (55-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.