A local Paley-Wiener theorem for compact symmetric spaces
Representation Theory
2010-02-23 v1
Abstract
The Fourier coefficients of a smooth -invariant function on a compact symmetric space are given by integration of the function against the spherical functions. For functions with support in a neighborhood of the origin, we describe the size of the support by means of the exponential type of a holomorphic extension of the Fourier coefficients
Cite
@article{arxiv.0705.0256,
title = {A local Paley-Wiener theorem for compact symmetric spaces},
author = {Gestur Olafsson and Henrik Schlichtkrull},
journal= {arXiv preprint arXiv:0705.0256},
year = {2010}
}