%0 Journal Article
%T A local Paley-Wiener theorem for compact symmetric spaces
%A Gestur Olafsson
%A Henrik Schlichtkrull
%J Mathematics
%D 2007
%I arXiv
%X The Fourier coefficients of a smooth $K$-invariant function on a compact symmetric space $M=U/K$ 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
%U http://arxiv.org/abs/0705.0256v1