Geometric Analysis on Symmetric Spaces

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Presents a systematic exposition of geometric analysis on Riemannian symmetric spaces and its relationship to the representation theory of semisimple Lie groups. Topics include Radon transform for points and hyperplanes, homogeneous spaces in duality, the space of horocycles, conical distributions, Eisenstein integrals, tangent space analysis, spherical transforms, differential equations on symmetric spaces, mean value theorems, harmonic functions on symmetric spaces, the wave equation, and eigenspace representations. Exercises with solutions are included. Annotation c. Book News, Inc., Portland, OR (booknews.com)