On the Whittaker Plancherel Theorem for Real Reductive Groups
The purpose of this article is to give the first complete proof of the Whittaker Plancherel Theorem. The proof uses Harish-Chandra's Plancherel Theorem for a real reductive group and its exposition can be used as an introduction to Harish-Chandra's ideas. The proof follows the basic ideas...
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Published in | arXiv.org |
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Main Author | |
Format | Paper |
Language | English |
Published |
Ithaca
Cornell University Library, arXiv.org
28.10.2023
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Subjects | |
Online Access | Get full text |
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Summary: | The purpose of this article is to give the first complete proof of the Whittaker Plancherel Theorem. The proof uses Harish-Chandra's Plancherel Theorem for a real reductive group and its exposition can be used as an introduction to Harish-Chandra's ideas. The proof follows the basic ideas in the author's original attempt 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 Rapha\"el Beuzart-Plessis. |
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ISSN: | 2331-8422 |