Geometric Analysis On Symmetric Spaces (Mathematical Surveys And Monographs) (Mathematical Surveys And Monographs) - Sigurdur Helgason
American Mathematical Society (1994)
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Symmetric spaces

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.

Product Details
LoC Classification QA649 .H43 1994
Dewey 516.362
Format Paperback
Cover Price 54,00 €
No. of Pages 611
Height x Width 260 mm
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