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arXiv:0705.0256 [math.RT]AbstractReferencesReviewsResources

A local Paley-Wiener theorem for compact symmetric spaces

Gestur Olafsson, Henrik Schlichtkrull

Published 2007-05-02Version 1

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

Journal: Advances in Mathematics 218 (2008), 202-215
Categories: math.RT
Subjects: 33C55, 43A85, 53C35
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