A local Paley-Wiener theorem for compact symmetric spaces
Olafsson, Gestur · Schlichtkrull, Henrik
Original · EN
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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