Representation theory, Radon transform and the heat equation on a Riemannian symmetric space - Mathematics > Representation TheoryReport as inadecuate




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Abstract: Let X=G-K be a Riemannian symmetric space of the noncompact type. We give ashort exposition of the representation theory related to X, and discuss itsholomorphic extension to the complex crown, a G-invariant subdomain in thecomplexified symmetric space X \C=G \C-K \C. Applications to the heat transformand the Radon transform for X are given.



Author: Gestur Olafsson, Henrik Schlichtkrull

Source: https://arxiv.org/







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