Geometric Analysis on Symmetric Spaces (Mathematical Surveys and Monographs) (Mathematical Surveys & Monographs)
Description
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, represe...
ISBN(s)
0821815385, 9780821815380
