A local Paley-Wiener theorem for compact symmetric spaces |
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| Authors: | Gestur Ólafsson Henrik Schlichtkrull |
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| Institution: | a Department of Mathematics, Louisiana State University, Baton Rouge, LA 70803, USA
b Department of Mathematical Sciences, University of Copenhagen, Universitetsparken 5, 2100 København Ø, Denmark |
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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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| Keywords: | 33C55 43A85 53C35 |
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