A Paley-Wiener theorem for reductive symmetric spaces

Abstract

Let X = G/H be a reductive symmetric space and K a maximal compact subgroup of G. The image under the Fourier transform of the space of K-finite compactly supported smooth functions on X is characterized.

31 pages, published version

References in corpus (2)

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