A Paley-Wiener theorem for distributions on reductive symmetric spaces

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.

TeX, 21 pages

References in corpus (2)

• The Plancherel decomposition for a reductive symmetric space II. Representation theory
• Analytic families of eigenfunctions on a reductive symmetric space

Cited by in corpus (1)

• Paley-Wiener spaces for real reductive Lie groups