THE SPHERICAL FUNCTIONS AND THE CENTRAL LIMIT THEOREM ON SU(2,2)/S(U(2)×U(2))

被引：0
|
作者：
杨乔华
张钦
机构：
[1] Wuhan Institute of Physics and Mathematics Chinese Academy of Sciences Wuhan 430071
[2] China
[3] School of Mathematics and Statistics Wuhan University
[4] Wuhan 430072
来源：
ActaMathematicaScientia | 2007年 / 04期
基金：
美国国家科学基金会;
关键词：
Spherical function; central limit therorem; hypergeometric function;
D O I：
暂无
中图分类号：
O211 [概率论（几率论、或然率论）];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
Let G=SU（2.2）.K=S（U（2）×U（2））,and for l∈Z.let{τl}leZ be a one- dimensional K-type and let El be the line bundle over G/K associated toτl .It is shown thal theτl-spher cal function on G is given by the hypergeometric functions of several variables.By applying this result,a central limit theorem for the space G/K is obtained.
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页码：867 / 874
页数：8
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