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A Paley-Wiener theorem for distributions on reductive symmetric spaces

E. P. van den Ban, H. Schlichtkrull

math.RTarXiv:math/0511585

Abstract

Let G/H be a reductive symmetric space and K a maximal compact subgroup of G. We study Fourier transforms of compactly supported K-finite distributions on G/H and characterize the image of the space of such distributions.

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