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The Whittaker Plancherel theorem.

Authors :
Wallach, Nolan R.
Source :
Japanese Journal of Mathematics. Apr2024, Vol. 19 Issue 1, p1-65. 65p.
Publication Year :
2024

Abstract

The purpose of this article is to give an exposition of a proof of the distributional form of the Whittaker Plancherel Theorem. The proof is an application of Harish-Chandra's Plancherel Theorem for real reductive groups and its exposition can be used as an introduction to Harish-Chandra's Plancherel Theorem. The paper follows the basic method in the author's original approach in his second volume on real reductive groups. An error in the calculation of the Whittaker Transform of a Harish-Chandra wave packet is fixed using a result of Raphaël Beuzart-Plessis. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*WAVE packets
*EXHIBITIONS

Details

Language :
English
ISSN :
02892316
Volume :
19
Issue :
1
Database :
Academic Search Index
Journal :
Japanese Journal of Mathematics
Publication Type :
Academic Journal
Accession number :
176033005
Full Text :
https://doi.org/10.1007/s11537-023-2230-5