arXiv Analytics

Sign in

arXiv:1111.3973 [math.RT]AbstractReferencesReviewsResources

A comparison of Paley-Wiener theorems for real reductive Lie groups

E. P. van den Ban, S. Souaifi

Published 2011-11-16Version 1

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.

Comments: LaTeX2e, 51 pages
Categories: math.RT
Subjects: 22E30, 22E45
Related articles: Most relevant | Search more
arXiv:1507.02263 [math.RT] (Published 2015-07-08)
An imbedding of the biregular representation of a Hecke algebra
arXiv:2311.10068 [math.RT] (Published 2023-11-16)
Weak Bruhat interval modules of finite-type $0$-Hecke algebras and projective covers
arXiv:2212.13116 [math.RT] (Published 2022-12-09)
On orthogonal projections related to representations of the Hecke algebra on a tensor space

Links

Toolbox