arXiv:0707.0803 Abstract | arXiv Analytics

arXiv:0707.0803 [math.RT]Abstract References Reviews Resources

Representation theory, Radon transform and the heat equation on a Riemannian symmetric space

Published 2007-07-05Version 1

Let X=G/K be a Riemannian symmetric space of the noncompact type. We give a short exposition of the representation theory related to X, and discuss its holomorphic extension to the complex crown, a G-invariant subdomain in the complexified symmetric space X_\C=G_\C/K_\C. Applications to the heat transform and the Radon transform for X are given.

Categories: math.RT

Subjects: 33C67, 46E20, 58J35, 22E30, 43A85

Keywords: riemannian symmetric space, representation theory, radon transform, heat equation, complexified symmetric space

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