The Cauchy Harish-Chandra Integral and the Invariant Eigendistributions

被引：6

作者：

Bernon, Florent ^{[1
]}

Przebinda, Tomasz ^{[2
]}

机构：

[1] Univ Versailles, Dept Math, F-78035 Versailles, France

[2] Univ Oklahoma, Norman, OK 73019 USA

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2014年 / 2014卷 / 14期

关键词：

ORBITAL INTEGRALS;

D O I：

10.1093/imrn/rnt058

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove that the Cauchy Harish-Chandra integral maps invariant eigendistributions to invariant eigendistributions with the correct infinitesimal character and that it maps the orbital integrals on the larger group to the orbital integrals on the smaller one. This is the last paper of a series of three.

引用

页码：3818 / 3862

页数：45

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