Publications

Sheldon Axler

• Sheldon Axler. Algebra & Trigonometry, Wiley, 2012.

• Sheldon Axler. Harmonic Function Theory software, a Mathematica package for symbolic manipulation of harmonic functions, version 7.01, released 1 January 2012 (previous versions released in 1992, 1993, 1994, 1996, 1999, 2000, 2001, 2002, 2003, 2008, and 2009).

• Sheldon Axler. College Algebra, Wiley, 2011.

• Sheldon Axler. Toeplitz operators, A Glimpse at Hilbert Space Operators (edited by Sheldon Axler, Peter Rosenthal, and Donald Sarason), Birkhäuser, 2010, 125-133.

• Sheldon Axler, Peter Rosenthal, and Donald Sarason, editors. A Glimpse at Hilbert Space Operators, Birkhäuser, 2010.

• Sheldon Axler. Precalculus: A Prelude to Calculus, Wiley, 2009.

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

• Sheldon Axler. 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.

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

• Sheldon Axler, Paul Bourdon, and Wade Ramey. Harmonic Function Theory, second edition, Graduate Texts in Mathematics, Springer, 2001.

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

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

• Sheldon Axler and Dechao Zheng. Compact operators via the Berezin transform, Indiana University Mathematics Journal 47 (1998), 387-400.

• Sheldon Axler, John E. M^cCarthy, and Donald Sarason, editors. Holomorphic Spaces, Cambridge University Press, 1998.

• Sheldon Axler and Dechao Zheng. The Berezin transform on the Toeplitz algebra, Studia Mathematica 127 (1998), 113-136.

• Sheldon Axler. Linear Algebra Done Right, second edition, Undergraduate Texts in Mathematics, Springer, 1997.

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

• Sheldon Axler. Linear Algebra Done Right, Undergraduate Texts in Mathematics, Springer, 1996.

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

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

• Sheldon Axler. 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.

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

• Sheldon Axler and Kehe Zhu. Boundary behavior of derivatives of analytic functions, Michigan Mathematical Journal 39 (1992), 129-143.

• Sheldon Axler, Paul Bourdon, and Wade Ramey. Bôcher's Theorem, American Mathematical Monthly 99 (1992), 51-55.

• Sheldon Axler, Paul Bourdon, and Wade Ramey. Harmonic Function Theory, Graduate Texts in Mathematics, Springer, 1992.

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

• Sheldon Axler. 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.

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

• Sheldon Axler and Pamela Gorkin. Sequences in the maximal ideal space of H^∞, Proceedings of the American Mathematical Society 108 (1990), 731-740.

• Sheldon Axler and Paul Bourdon. Finite codimensional invariant subspaces of Bergman spaces, Transactions of the American Mathematical Society 306 (1988), 805-817.

• Sheldon Axler. 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.

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

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

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

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

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

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

• Sheldon Axler and Allen Shields. Univalent multipliers of the Dirichlet space, Michigan Mathematical Journal 32 (1985), 65-80.

• Sheldon Axler and Pamela Gorkin. Divisibility in Douglas algebras , Michigan Mathematical Journal 31 (1984), 89-94.

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

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

• Sheldon Axler, John B. Conway, and Gerard McDonald. Toeplitz operators on Bergman spaces, Canadian Journal of Mathematics 34 (1982), 466-483.

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

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

• Bernard Morris and Sheldon Axler. Leaders of Revolution (book review), Studies in Comparative International Development 16 (1981), 88-90.

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

• Sheldon Axler, Nicholas Jewell, and Allen Shields. The essential norm of an operator and its adjoint, Transactions of the American Mathematical Society 261 (1980), 159-167.

• Sheldon Axler, I. David Berg, Nicholas Jewell, and Allen Shields. Approximation by compact operators and the space H^∞ + C, Annals of Mathematics 109 (1979), 601-612.

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

• Sheldon Axler, Sun-Yung A. Chang, and Donald Sarason. Products of Toeplitz operators, Integral Equations and Operator Theory 1 (1978), 285-309.

• Sheldon Axler. Factorization of L^∞ functions, Annals of Mathematics 106 (1977), 567-572.

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

• Sheldon Axler's vita

• Sheldon Axler's home page