惠特克-普朗切尔定理

IF 1.8 3区数学 Q1 MATHEMATICS

Japanese Journal of Mathematics Pub Date : 2024-02-09 DOI:10.1007/s11537-023-2230-5

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引用次数: 0

摘要

摘要本文旨在阐述惠特克-普朗切尔定理分布形式的证明。该证明是哈里什-钱德拉的普朗切尔定理在实还原群中的应用，其阐述可作为哈里什-钱德拉的普朗切尔定理的入门。本文沿用了作者在实还原群第二卷中的原始方法。本文利用拉斐尔-博扎-普莱西斯（Raphaël Beuzart-Plessis）的一个结果修正了哈里什-钱德拉波包惠特克变换计算中的一个错误。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The Whittaker Plancherel theorem

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.

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来源期刊

Japanese Journal of Mathematics 数学-数学

CiteScore

3.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The official journal of the Mathematical Society of Japan, the Japanese Journal of Mathematics is devoted to authoritative research survey articles that will promote future progress in mathematics. It encourages advanced and clear expositions, giving new insights on topics of current interest from broad perspectives and/or reviewing all major developments in an important area over many years. An eminent international mathematics journal, the Japanese Journal of Mathematics has been published since 1924. It is an ideal resource for a wide range of mathematicians extending beyond a small circle of specialists. The official journal of the Mathematical Society of Japan. Devoted to authoritative research survey articles that will promote future progress in mathematics. Gives new insight on topics of current interest from broad perspectives and/or reviews all major developments in an important area over many years.