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

E.P. van den Ban; S. Souaifi

doi:10.1515/

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

E.P. van den Ban, S. Souaifi

Dept of Mathematics

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

In this paper we make a detailed comparison between the Paley–Wiener theorems of J. Arthur and P. Delorme for a real reductive Lie group G. 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, a maximal compact subgroup of G. Our techniques involve derivatives of holomorphic families of continuous representations and Harish-Chandra modules.

Original language	English
Pages (from-to)	99-149
Number of pages	51
Journal	Journal fur die Reine und Angewandte Mathematik
Volume	2014
Issue number	695
DOIs	https://doi.org/10.1515/
Publication status	Published - 6 Feb 2013

Keywords

Wiskunde en Informatica (WIIN)
Mathematics
Wiskunde en computerwetenschappen
Landbouwwetenschappen
Wiskunde: algemeen

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KW - Wiskunde en Informatica (WIIN)

KW - Mathematics

KW - Wiskunde en computerwetenschappen

KW - Landbouwwetenschappen

KW - Wiskunde: algemeen

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JF - Journal fur die Reine und Angewandte Mathematik

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ER -

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

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Keywords

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