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arXiv · 0707.0803

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

Gestur Olafsson·Henrik Schlichtkrull
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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_\C=G_\C/K_\C. Applications to the heat transform and the Radon transform for X are given.

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Gestur Olafsson, Henrik Schlichtkrull. 2007-07-05. Representation theory, Radon transform and the heat equation on a Riemannian symmetric space. https://arxiv.org/abs/0707.0803

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