The action of intertwining operators on spherical vectors in the minimal principal series of a reductive symmetric space

被引：2

作者：

vandenBan, EP ^{[1
]}

机构：

[1] UNIV UTRECHT, INST MATH, NL-3508 TA UTRECHT, NETHERLANDS

来源：

INDAGATIONES MATHEMATICAE-NEW SERIES | 1997年 / 8卷 / 03期

关键词：

D O I：

10.1016/S0019-3577(97)81814-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the action of standard intertwining operators on H-fixed generalized vectors in the minimal principal series of a reductive symmetric space G/H of Harish-Chandra's class. The main result is that - after an appropriate normalization - this action is unitary for the unitary principal series. This is an extension of previous work under more restrictive hypotheses on G and H. The present result implies the Maass-Selberg relations for Eisenstein integrals of the minimal principal series. These play a fundamental role in the most-continuous part of the Plancherel decomposition for G/H.

引用

页码：317 / 347

页数：31

共 42 条

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