Publications

Sheldon Axler

• Precalculus: A Prelude to Calculus, preliminary edition, Wiley, 2008

• Toeplitz algebras on the disk (with Dechao Zheng), Journal of Functional Analysis, 243 (2007), 67-86

• Mathematicians versus the silicon age: Who wins?, Mathematical Adventures for Students and Amateurs, edited by David F. Hayes and Tatiana Shubin, Mathematical Association of America (2004), 17-25

• The Dirichlet problem on quadratic surfaces (with Pamela Gorkin and Karl Voss), Mathematics of Computation 73 (2004), 637-651

• HFT.m, a Mathematica package for symbolic manipulation of harmonic functions, version 6.10, released 9 August 2003

• Harmonic Function Theory (with P. Bourdon and W. Ramey), second edition, Springer Graduate Texts in Mathematics, 2001

• Berezin transform, Encyclopedia of Mathematics, Supplement Volume III, Kluwer (2001), 67-68

• Commutants of analytic Toeplitz operators on the Bergman space (with Z. Cuckovic and N. V. Rao), Proceedings of the American Mathematical Society 128 (2000), 1951-1953

• Compact operators via the Berezin transform (with D. Zheng), Indiana University Mathematics Journal 47 (1998), 387-400

• The Berezin transform on the Toeplitz algebra (with D. Zheng), Studia Mathematica 127 (1998), 113-136

• Holomorphic Spaces (edited with J. M^cCarthy and D. Sarason), Cambridge University Press, 1998

• Linear Algebra Done Right, second edition, Springer Undergraduate Texts in Mathematics, 1997 (tenth printing, 2007)

• The Life of Stefan Banach (book review), American Mathematical Monthly 104 (1997), 577-579

• Linear Algebra Done Right, first edition, Springer Undergraduate Texts in Mathematics, 1996

• Harmonic polynomials and Dirichlet-type problems (with W. Ramey), Proceedings of the American Mathematical Society 123 (1995), 3765-3773

• Down with determinants!, American Mathematical Monthly 102 (1995), 139-154

• Hankel operators on Bergman spaces, Linear and Complex Analysis Problem Book 3, part I, edited by V. P. Havin and N. K. Nikolski, Springer Lecture Notes in Mathematics (1994), 351-353

• Interpolation by multipliers of the Dirichlet space, Quarterly Journal of Mathematics 43 (1992), 409-419

• Boundary behavior of derivatives of analytic functions (with K. Zhu), Michigan Mathematical Journal 39 (1992), 129-143

• Bôcher's Theorem (with P. Bourdon and W. Ramey), American Mathematical Monthly 99 (1992), 51-55

• Harmonic Function Theory (with P. Bourdon and W. Ramey), first edition, Springer Graduate Texts in Mathematics, 1992

• Paul Halmos and Toeplitz operators, Paul Halmos: Celebrating 50 Years of Mathematics, edited by John H. Ewing and F. W. Gehring, Springer (1991), 257-263

• Commuting Toeplitz operators with harmonic symbols (with Z. Cuckovic), Integral Equations and Operator Theory 14 (1991), 1-12

• Extensions of analytic and harmonic functions (with A. Shields), Pacific Journal of Mathematics 145 (1990), 1-15

• Sequences in the maximal ideal space of H^\infty (with P. Gorkin), Proceedings of the American Mathematical Society 108 (1990), 731-740

• Algebras on the disk and doubly commuting multiplication operators (with P. Gorkin), Transactions of the American Mathematical Society 309 (1988), 711-723

• Bergman spaces and their operators, Surveys of Some Recent Results in Operator Theory, volume I, edited by John B. Conway and Bernard B. Morrel, Pitman Research Notes in Mathematics (1988), 1-50

• Finite codimensional invariant subspaces of Bergman spaces (with P. Bourdon), Transactions of the American Mathematical Society 306 (1988), 805-817

• Algebras generated by analytic and harmonic functions (with A. Shields), Indiana University Mathematics Journal 36 (1987), 631-638

• The Bergman space, the Bloch space, and commutators of multiplication operators, Duke Mathematical Journal 53 (1986), 315-332

• Harmonic functions from a complex analysis viewpoint, American Mathematical Monthly 93 (1986), 246-258

• Zero multipliers of Bergman spaces, Canadian Mathematical Bulletin 28 (1985), 237-242

• Putnam's Theorem, Alexander's Spectral Area Estimate, and VMO (with J. Shapiro), Mathematische Annalen 271 (1985), 161-183

• Univalent multipliers of the Dirichlet space (with A. Shields), Michigan Mathematical Journal 32 (1985), 65-80

• Function Theory in Planar Domains (book review), Bulletin of the American Mathematical Society 11 (1984), 414-417

• Divisibility in Douglas algebras (with P. Gorkin), Michigan Mathematical Journal 31 (1984), 89-94

• Multiplication operators on Bergman spaces, Journal für die Reine und Angewandte Mathematik 336 (1982), 26-44

• Toeplitz operators on Bergman spaces (with J. Conway and G. McDonald), Canadian Journal of Mathematics 34 (1982), 466-483

• Extreme points in VMO and BMO (with A. Shields), Indiana University Mathematics Journal 31 (1982), 1-6

• Advanced Calculus and Elementary Analysis (book review), American Mathematical Monthly 89 (1982), 217-219

• Leaders of Revolution (book review with B. Morris), Studies in Comparative International Development 16 (1981), 88-90

• The essential norm of an operator and its adjoint (with N. Jewell and A. Shields), Transactions of the American Mathematical Society 261 (1980), 159-167

• The dual of H¹, American Mathematical Monthly 87 (1980), 282-283

• Approximation by compact operators and the space H^\infty + C (with I. D. Berg, N. Jewell, and A. Shields), Annals of Mathematics 109 (1979), 601-612

• Brownian Motion, Hardy Spaces, and Bounded Mean Oscillation (book review), Bulletin of the American Mathematical Society 84 (1978), 645-647

• Products of Toeplitz operators (with S. Y. A. Chang and D. Sarason), Integral Equations and Operator Theory 1 (1978), 285-309

• Factorization of L^\infty functions, Annals of Mathematics 106 (1977), 567-572

• Subalgebras of L^\infty, Ph.D. dissertation, University of California, Berkeley, 1975

• Citations (books and papers that have cited my books/papers in their references)

• Sheldon Axler's vita

• Sheldon Axler's home page