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.

中文翻译：

---

惠特克普朗舍雷尔定理

摘要

本文的目的是阐述 Whittaker Plancherel 定理的分布形式的证明。该证明是 Harish-Chandra 的 Plancherel 定理对于实数还原群的应用，其阐述可以作为 Harish-Chandra 的 Plancherel 定理的介绍。本文沿袭了作者在关于实数还原群的第二卷中原始方法中的基本方法。使用 Raphaël Beuzart-Plessis 的结果修复了 Harish-Chandra 波包 Whittaker 变换计算中的错误。