AN ANALOGUE OF KREIN'S THEOREM FOR SEMISIMPLE LIE GROUPS

被引：1

作者：

Pusti, Sanjoy ^{[1
]}

机构：

[1] Univ Luxembourg, Math Res Unit, L-1359 Luxembourg, Luxembourg

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2011年 / 254卷 / 02期

关键词：

positive definite functions; K-positive definite functions; tau-positive definite functions;

D O I：

10.2140/pjm.2011.254.381

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give an integral representation of K-positive definite functions on a real rank n connected, noncompact, semisimple Lie group with finite centre. Moreover, we characterize the lambda's for which the tau-spherical function phi(tau)(sigma,lambda) is positive definite for the group G = Spine(e) (n, 1) and the complex spin representation tau.

引用

页码：381 / 395

页数：15

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