A local Paley-Wiener theorem for compact symmetric spaces

Gestur Olafsson; Henrik Schlichtkrull

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arXiv · 0705.0256

A local Paley-Wiener theorem for compact symmetric spaces

Gestur Olafsson·Henrik Schlichtkrull

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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

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BibTeX RIS

Gestur Olafsson, Henrik Schlichtkrull. 2007-05-02. A local Paley-Wiener theorem for compact symmetric spaces. https://arxiv.org/abs/0705.0256

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