A local Paley-Wiener theorem for compact symmetric spaces

Mathematics – Representation Theory

Scientific paper

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Scientific paper

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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