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" Holomorphic spaces / "
edited by Sheldon Axler, John E. McCarthy, Donald Sarason.
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BL
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| Record Number
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631111
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| Doc. No
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dltt
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| Title & Author
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Holomorphic spaces /\ edited by Sheldon Axler, John E. McCarthy, Donald Sarason.
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| Publication Statement
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Cambridge ;New York :: Cambridge University Press,, 1998.
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| Series Statement
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Mathematical Sciences Research Institute publications ;; 33
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| Page. NO
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ix, 476 p. ;; 24 cm.
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| ISBN
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0521631939
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: 9780521631938
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| Bibliographies/Indexes
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Includes bibliographical references.
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| Contents
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Holomorphic Spaces: A Brief and Selective Survey / Donald Sarason -- Recent Progress in the Function Theory of the Bergman Space / Hakan Hedenmalm -- Harmonic Bergman Spaces / Karel Stroethoff -- Excursion into the Theory of Hankel Operators / Vladimir V. Peller -- Hankel-Type Operators, Bourgain Algebras, and Uniform Algebras / Pamela Gorkin -- Tight Uniform Algebras / Scott Saccone -- Higher-Order Hankel Forms and Commutators / Richard Rochberg -- Function Theory and Operator Theory on the Dirichlet Space / Zhijian Wu -- Some Open Problems in the Theory of Subnormal Operators / John B. Conway and Liming Yang -- Elements of Spectral Theory in Terms of the Free Function Model Part I: Basic Constructions / Nikolai Nikolski and Vasily Vasyunin
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| Abstract
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The term "holomorphic spaces" is short for "spaces of holomorphic functions." It refers not so much to a branch of mathematics as to a common thread running through much of modern analysis - through functional analysis, operator theory, harmonic analysis, and, of course, complex analysis. This is a collection of expository articles arising from MSRI's Fall 1995 program on holomorphic spaces. The opening article, by Donald Sarason, gives an overview of several aspects of the subject. The remaining articles, while more specialized, are nevertheless designed in varying degrees to be accessible to the nonexpert; some are minicourses in themselves.
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| Subject
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Holomorphic functions.
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Operator theory.
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| LC Classification
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QA331.H644 1998
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| Added Entry
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Axler, Sheldon Jay.
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McCarthy, John E., (John Edward),1964-
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Sarason, Donald.
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