<図書>
Toeplitz operators and index theory in several complex variables
責任表示 | Harald Upmeier |
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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. 続きを見る |
電子版へのリンク | https://hdl.handle.net/2324/6871976 |
所蔵情報
状態 | 巻次 | 所蔵場所 | 請求記号 | 刷年 | 文庫名称 | 資料番号 | コメント | 予約・取寄 | 複写申込 | 自動書庫 |
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: sz | 理系図3F 数理独自 | UPME/10/3 | 1996 |
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023211996003528 |
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書誌詳細
一般注記 | Includes bibliographical references and index |
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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 |