Geometric Analysis on Symmetric Spaces (Mathematical Surveys and Monographs) (Mathematical Surveys & Monographs) - Softcover

Sigurdur Helgason

 
9780821815380: Geometric Analysis on Symmetric Spaces (Mathematical Surveys and Monographs) (Mathematical Surveys & Monographs)
Softcover
ISBN 10: 0821815385 ISBN 13: 9780821815380
Publisher: American Mathematical Society, 1994

Synopsis

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.

"synopsis" may belong to another edition of this title.

Language Notes

Text: English, Chinese (translation)

Review

The style is very fluent and pleasant, conducting the reader at a regular pace ... the present book will be a most valuable (and reasonably priced) reference for anyone interested in Radon transforms and analysis on semisimple Lie groups." ---- Bulletin of the AMS

Gives an interesting overview of many of the deep problems in this field of mathematics ... a welcome monograph for both students and specialists working on harmonic analysis on Lie groups and homogeneous spaces." ---- Mathematical Reviews

"About this title" may belong to another edition of this title.

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

Other Popular Editions of the Same Title

9780821868959: Geometric Analysis on Symmetric Spaces

Featured Edition

ISBN 10:  0821868950 ISBN 13:  9780821868959
Publisher: Orient Blackswan, 2011
Softcover