Geometric Analysis on Symmetric Spaces (Mathematical Surveys and Monographs) (Mathematical Surveys and Monographs) - Sigurdur Helgason (1994)
ISBN 0821815385
Subject Symmetric spaces
Publisher American Mathematical Society
Publication Date 5/13/1994
Format Paperback (254 x 178 mm)
Language eng
This author gives the first systematic exposition of geometric analysis on Riemannian symmetric spaces and its relationship to the representation theory of semisimple 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, Helgason examines applications to invariant differential equations on symmetric spaces, particularly potential theory and wave equations. 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 AMS 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 book would be suitable for advanced graduate courses in modern integral geometry, analysis on Lie groups, or representation theory of semisimple Lie groups.
Personal Details
Collection Status In Collection
Index 1397
Read It Yes
Links Amazon US
Product Details
LoC Classification QA649 .H43 vol 39 1994
Dewey 516.3/62
Cover Price $49.00
No. of Pages 611