edited by Sheldon Axler, John E. McCarthy, Donald Sarason.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
New York :
Name of Publisher, Distributor, etc.
Cambridge University Press,
Date of Publication, Distribution, etc.
1998.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
ix, 476 p. ;
Dimensions
24 cm.
SERIES
Series Title
Mathematical Sciences Research Institute publications ;
Volume Designation
33
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references.
CONTENTS NOTE
Text of Note
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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SUMMARY OR ABSTRACT
Text of Note
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.