Representation theory, Radon transform and the heat equation on a Riemannian symmetric space
Abstract
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=G/K. Applications to the heat transform and the Radon transform for X are given.
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