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

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

2007-07-05

arxiv.org/abs/0707.0803v1

Mathematics

Representation Theory

Scientific paper

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.

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