A Paley-Wiener theorem for distributions on reductive symmetric spaces

2005/11/23 by Ban, E. P. van den, Schlichtkrull, H.
#22E30 #43A85 #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.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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