| 所在主题： | |
| 文件名: Groups and Geometric Analysis Integral Geometry, Invariant Differential Operator.pdf | |
| 资料下载链接地址: https://bbs.pinggu.org/a-1837487.html | |
| 附件大小: | |
|
This volume, the second of Helgason's impressive three books on Lie groups and the geometry and analysis of symmetric spaces, is an introduction to group-theoretic methods in analysis on spaces with a group action. The first chapter deals with the three two-dimensional spaces of constant curvature, requiring only elementary methods and no Lie theory. It is remarkably accessible and would be suitable for a first-year graduate course. The remainder of the book covers more advanced topics, including the work of Harish-Chandra and others, but especially that of Helgason himself. Indeed, the exposition can be seen as an account of the author's tremendous contributions to the subject. Chapter I deals with modern integral geometry and Radon transforms. The second chapter examines the interconnection between Lie groups and differential operators. Chapter IV develops the theory of spherical functions on semisimple Lie groups with a certain degree of completeness, including a study of Harish-Chandra's $c$-function. The treatment of analysis on compact symmetric spaces (Chapter V) includes some finite-dimensional representation theory for compact Lie groups and Fourier analysis on compact groups. Each chapter ends with exercises (with solutions given at the end of the book!) and historical notes. This book, which is new to the AMS publishing program, is an excellent example of the author's well-known clear and careful writing style. It has become the standard text for the study of spherical functions and invariant differential operators on symmetric spaces. Sigurdur Helgason was awarded the Steele Prize for Groups and Geometric Analysis and the companion volume, Differential Geometry, Lie Groups and Symmetric Spaces.
Editorial ReviewsReviewA most valuable contribution to Lie theory and to the interplay between geometry and analysis. It is remarkable that the beautiful theory in Chapter IV can be presented in a textbook form with complete proofs. -- M. Flensted-Jensen, Bulletin of the London Mathematical Society, 1989 The book is excellent both as a text and as a reference work; it will clearly become another instant classic. -- A. Koranyi, American Scientist, 1985 The diversity of subjects treated is great. Nevertheless the author has managed to achieve coherence of presentation by clearly putting forward a few main themes and basic problems. The first third of the book is suitable as a text for beginning graduate students; the book is also an excellent source of reference for experts. No doubt it will become a new standard in the field. --E.P. van den Ban, CWI Quarterly, 1987, p.35. From the PublisherThe author was awarded "The Steele Prize: of the American Mathematical Society in 1988 for this book together with its companion volume "Differential Geometry, Lie Groups and Symmetric Spaces," Academic Press, 1978. --This text refers to an out of print or unavailable edition of this title.  Product Details
|
|
熟悉论坛请点击新手指南
|
|
| 下载说明 | |
|
1、论坛支持迅雷和网际快车等p2p多线程软件下载，请在上面选择下载通道单击右健下载即可。 2、论坛会定期自动批量更新下载地址,所以请不要浪费时间盗链论坛资源,盗链地址会很快失效。 3、本站为非盈利性质的学术交流网站,鼓励和保护原创作品，拒绝未经版权人许可的上传行为。本站如接到版权人发出的合格侵权通知，将积极的采取必要措施；同时，本站也将在技术手段和能力范围内，履行版权保护的注意义务。 (如有侵权，欢迎举报) |
|
京ICP备16021002号-2 京B2-20170662号
京公网安备 11010802022788号
论坛法律顾问：王进律师
知识产权保护声明
免责及隐私声明
