惠特克-普朗切尔定理

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research 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

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.