Mendeley出力
＜図書＞
Geometric analysis on symmetric spaces
| 責任表示 | Sigurdur Helgason |
|---|---|
| シリーズ | Mathematical surveys and monographs ; v. 39 |
| データ種別 | 図書 |
| 版 | 2nd ed |
| 出版情報 | Providence, R.I. : American Mathematical Society , c2008 |
| 本文言語 | 英語 |
| 大きさ | xvii, 637 p. : ill. ; 27 cm |
| 概要 | This book gives an account of geometric analysis on Riemannian symmetric spaces and its relationship to the representation theory of Lie groups. After discussing the theory of Radon transforms on symm...tric spaces, inversion formulas, and range theorems, the book examines applications to invariant differential equations on symmetric spaces, existence theorems, and explicit solution formulas, particularly potential theory and wave equations. It concludes with a chapter on eigenspace representations. Chapter exercises and solutions are included. This second edition further develops the theory of the Fourier transform and the horocycle transform on X, also taking into account tools developed by Eguchi for the Schwartz space S(X). The author received the 1988 Steele Prize for his earlier publications. The book can be used in advanced graduate courses in modern integral geometry, analysis on Lie groups, and representation theory of Lie groups. Annotation ©2009 Book News, Inc., Portland, OR (booknews.com) 続きを見る |
| 電子版へのリンク | https://hdl.handle.net/2324/6952435 |
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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理系図3F 数理独自 | HELG/10/6a | 2008 |
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023212008007041 |
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書誌詳細
| 一般注記 | First ed: c1994; reprinted with corrections, 1997 Includes bibliographical references (p. 599-625) and index |
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| 著者標目 | *Helgason, Sigurdur, 1927- |
| 件 名 | LCSH:Symmetric spaces |
| 分 類 | NDC8:414.7 LCC:QA649 DC20:516.3/62 |
| 書誌ID | 1001245520 |
| ISBN | 9780821845301 |
| NCID | BA88308263 |
| 巻冊次 | ISBN:9780821845301 |
| 登録日 | 2009.09.18 |
| 更新日 | 2017.02.18 |