Geometric Analysis on Symmetric Spaces: No.39 (Mathematical Surveys and Monographs) - Softcover

Helgason, Sigurdur

Softcover

ISBN 10: 0821815385 ISBN 13: 9780821815380

Publisher: American Mathematical Society, 1994

Synopsis

This book 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 new book would be suitable for advanced graduate courses in modern integral geometry, analysis on Lie groups, or representation theory of semisimple Lie groups.

Edition details

• Publisher: American Mathematical Society
• Publication date: 1994
• Language: English
• ISBN 10: 0821815385
• ISBN 13: 9780821815380
• Binding: Paperback
• Number of pages: 611