Representation theory, Radon transform and the heat equation on a Riemannian symmetric space
Representation Theory
2007-07-06 v1
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.
Keywords
Cite
@article{arxiv.0707.0803,
title = {Representation theory, Radon transform and the heat equation on a Riemannian symmetric space},
author = {Gestur Olafsson and Henrik Schlichtkrull},
journal= {arXiv preprint arXiv:0707.0803},
year = {2007}
}