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
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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.
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页码:317 / 347
页数:31
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