Items related to Geometric Analysis on Symmetric Spaces (Mathematical...
Geometric Analysis on Symmetric Spaces (Mathematical Surveys and Monographs) (Mathematical Surveys and Monographs, 39) - Hardcover
Synopsis
This book gives the first systematic exposition of geometric analysis on Riemannian symmetric spaces and its relationship to the representation theory of Lie groups. The book starts with modern integral geometry for double fibrations and treats several examples in detail. After discussing the theory of Radon transforms and Fourier transforms on symmetric spaces, inversion formulas, and range theorems, Helgason examines applications to invariant differential equations on symmetric spaces, existence theorems, and explicit solution formulas, particularly potential theory and wave equations. The canonical multitemporal wave equation on a symmetric space is included. The book concludes with a chapter on eigenspace representations--that is, representations on solution spaces of invariant differential equations. Known for his high-quality expositions, Helgason received the 1988 Steele Prize for his earlier books Differential Geometry, Lie Groups and Symmetric Spaces and Groups and Geometric Analysis. Containing exercises (with solutions) and references to further results, this revised edition would be suitable for advanced graduate courses in modern integral geometry, analysis on Lie groups, and representation theory of Lie groups.
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Language Notes
Text: English, Chinese (translation)
Review
[This book] is a model of fine scholarship and must rank as a definitive source for the indicated material. ---- MAA Reviews
The exposition, which emphasizes the geometric and analytic side of the subject, is self-contained and very clear. It is good that this standard in the field, with its wealth of material, has become available again through a second edition. ---- EMS Newsletter
The book is written in the elegant form that was typical for the style of S. Helgason. ... The bibliography updates and completes the previous references. The book will be of interest for both students and specialists in harmonic analysis on homogeneous spaces, integral geometry and invariant differential equations on symmetric spaces. ---- Zentralblatt MATH
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- PublisherAmerican Mathematical Society
- Publication date2008
- ISBN 10 0821845306
- ISBN 13 9780821845301
- BindingHardcover
- LanguageEnglish
- Number of pages637
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International Edition
GEOMETRIC ANALYSIS ON SYMMETRIC SPACES
Published by
American Mathematical Society, 2008
ISBN 10: 0821845306
ISBN 13: 9780821845301
New
Softcover
Seller: Romtrade Corp., STERLING HEIGHTS, MI, U.S.A.
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Condition: New. Brand New. Soft Cover International Edition. Different ISBN and Cover Image. Priced lower than the standard editions which is usually intended to make them more affordable for students abroad. The core content of the book is generally the same as the standard edition. The country selling restrictions may be printed on the book but is no problem for the self-use. This Item maybe shipped from US or any other country as we have multiple locations worldwide. Seller Inventory # ABTA-4670
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