株式会社極東書店トップ ＞ 商品一覧 ＞ Groups and Geometric Analysis : Integral Geometry, Invariant Differential Operators, and Spherical Functions.
商品詳細
Groups and Geometric Analysis : Integral Geometry, Invariant Differential Operators, and Spherical Functions.
・ISBN 978-0-8218-3211-0 paper US$ 129.00
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| 著者・編者 | Helgason, Sigurdur, |
|---|---|
| シリーズ | Mathematical Surveys and Monographs |
| 出版社 | (American Mathematical Society, US) |
| 出版年月 | 1984 |
| ページ数 | 667 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-9640＞ |
解説
Group-theoretic methods have taken an increasingly prominent role in analysis. Some of this change has been due to the writings of Sigurdur Helgason. This book is an introduction to such methods on spaces with symmetry given by the action of a Lie group. The introductory chapter is a self-contained account of the analysis on surfaces of constant curvature. Later chapters cover general cases of the Radon transform, spherical functions, invariant operators, compact symmetric spaces and other topics. This book, together with its companion volume, Geometric Analysis on Symmetric Spaces (AMS Mathematical Surveys and Monographs series, vol. 39, 1994), has become the standard text for this approach to geometric analysis. Sigurdur Helgason was awarded the Steele Prize for outstanding mathematical exposition for Groups and Geometric Analysis and Differential Geometry, Lie Groups and Symmetric Spaces.