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.

Authors

Erik P. van den Ban

Mathematisch Instituut
Universiteit Utrecht
3508 Utrecht
Netherlands

Henrik Schlichtkrull

Matematisk Institut
København Universitet
2100 København Ø
Denmark