Paley-Wiener spaces for real reductive Lie groups
Representation Theory
2007-05-23 v2
Abstract
We show that Arthur's Paley-Wiener theorem for K-finite compactly supported smooth functions on a real reductive Lie group G of the Harish-Chandra class can be deduced from the Paley-Wiener theorem we established in the more general setting of a reductive symmetric space. In addition, we formulate an extension of Arthur's theorem to K-finite compactly supported generalized functions (distributions) on G and show that this result follows from the analogous result for reductive symmetric spaces as well.
Cite
@article{arxiv.math/0411363,
title = {Paley-Wiener spaces for real reductive Lie groups},
author = {E. P. van den Ban and H. Schlichtkrull},
journal= {arXiv preprint arXiv:math/0411363},
year = {2007}
}
Comments
Latex2e, 28 pages, change of definition of space P^* on p. 17 + minor corrections