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<図書>
Toeplitz operators and index theory in several complex variables

責任表示 Harald Upmeier
シリーズ Operator theory : advances and applications ; v. 81
データ種別 図書
出版情報 Basel ; Boston : Birkhäuser Verlag , c1996
本文言語 英語
大きさ 481 p. ; 24 cm
概要 This book gives a comprehensive treatment of Toeplitz operators arising in multivariable complex analysis. The first part describes in detail the underlying geometric structures (strongly pseudoconve... domains, Reinhardt domains, multivariable upper half-planes, symmetric domains and generalizations) as well as the harmonic analysis of the associated Hilbert spaces of holomorphic functions (of Hardy or Bergman type). It is also of interest to mathematicians not primarily interested in operator theory. The second part of the book determines the structure of Toeplitz operators, their C*-algebras and index theory, using modern techniques such as groupoid C*-algebras, co-crossed products and operator K-theory.
This book gives a comprehensive treatment of Toeplitz operators arising in multivariable complex analysis. The first part describes in detail the underlying geometric structures (strongly pseudoconvex domains, Reinhardt domains, multivariable upper half-planes, symmetric domains and generalizations) as well as the harmonic analysis of the associated Hilbert spaces of holomorphic functions (of Hardy or Bergman type). It is also of interest to mathematicians not primarily interested in operator theory. The second part of the book determines the structure of Toeplitz operators, their C*-algebras and index theory, using modern techniques such as groupoid C*-algebras, co-crossed products and operator K-theory.
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所蔵情報


: sz 理系図3F 数理独自 UPME/10/3 1996
023211996003528

書誌詳細

一般注記 Includes bibliographical references and index
著者標目 *Upmeier, Harald, 1950-
件 名 LCSH:Toeplitz operators
LCSH:Index theory (Mathematics)
LCSH:Holomorphic functions
LCSH:Functions of several complex variables
分 類 DC20:515/.7246
書誌ID 1001404922
ISBN 3764352825
NCID BA27020090
巻冊次 : sz ; ISBN:3764352825
: us ; ISBN:0817652825
登録日 2009.11.02
更新日 2009.11.02

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