A comparison of Paley-Wiener theorems for real reductive Lie groups
Representation Theory
2011-11-18 v1
Abstract
In this paper we make a detailed comparison between the Paley-Wiener theorems of J. Arthur and P. Delorme. We prove that these theorems are equivalent from an a priori point of view. We also give an alternative formulation of the theorems in terms of the Hecke algebra of bi-K-finite distributions supported on K. Our techniques involve derivatives of holomorphic families of continuous representations and Harish-Chandra modules.
Keywords
Cite
@article{arxiv.1111.3973,
title = {A comparison of Paley-Wiener theorems for real reductive Lie groups},
author = {E. P. van den Ban and S. Souaifi},
journal= {arXiv preprint arXiv:1111.3973},
year = {2011}
}
Comments
LaTeX2e, 51 pages