%0 Journal Article
%T Paley-Wiener spaces for real reductive Lie groups
%A E. P. van den Ban
%A H. Schlichtkrull
%J Mathematics
%D 2004
%I arXiv
%X 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.
%U http://arxiv.org/abs/math/0411363v2