Analytic Hilbert Modules

Analytic Hilbert Modules

by Xiaoman Chen, Kunyu Guo

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Two active researchers in the blossoming field of analytic Hilbert modules offer a survey of recent developments, including their own work and the work of others. Their text provides insight into function theory of several variables and includes significant new results in characteristic space theory, rigidity, the equivalence problem, extension theory, the Arveson modules, and reproducing Hilbert spaces on n-dimensional complex space. The book is for researchers and graduate students studying operator theory, functional analysis, representation theory, algebraic geometry, and complex analysis. Annotation ©2003 Book News, Inc., Portland, OR

Product Details

ISBN-13: 9781135438708
Publisher: CRC Press
Publication date: 03/26/2003
Series: Chapman & Hall/CRC Research Notes in Mathematics Series
Sold by: Barnes & Noble
Format: NOOK Book
Pages: 216
File size: 13 MB
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About the Author

Xiaoman Chen, Kunyu Guo

Table of Contents

The seminal 1989 work of Douglas and Paulsen in the theory of analytic Hilbert modules precipitated a number of major research efforts. This in turn led to some intriguing and valuable results, particularly in the areas of operator theory and functional analysis. With the field now beginning to blossom, the time has come to collect those results under one cover. Written by two of the most active and often-cited researchers in the field, Analytic Hilbert Modules reports on the progress made by the authors and others, including the characteristic space theory, rigidity, the equivalence problem, the Arveson modules, extension theory, and reproducing Hilbert spaces on n-dimensional complex space.

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