Title

A local Paley-Wiener theorem for compact symmetric spaces

Document Type

Article

Publication Date

5-1-2008

Abstract

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. © 2007 Elsevier Inc. All rights reserved.

Publication Source (Journal or Book title)

Advances in Mathematics

First Page

202

Last Page

215

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