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

doi:10.1016/S0252-9602(07)60084-8

数学物理学报(英文版)

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

杨乔华; 张钦

中国科学院武汉物理与数学所, 武汉 430071

收稿日期:2004-11-15 修回日期:2005-08-29 出版日期:2007-10-20 发布日期:2007-10-20
通讯作者: 杨乔华
基金资助:
This work was supported by Nalional Science Foundation of China (10571044)

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

Yang Qiaohua; Zhang Qin

Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China

Received:2004-11-15 Revised:2005-08-29 Online:2007-10-20 Published:2007-10-20
Contact: Yang Qiaohua

摘要/Abstract

摘要：

Let G=SU(2,2), K=S(U(2)×U(2)), and for l∈Z, let {τ_l}_l∈Zbe a one-dimensional K-type and let E_l be the line bundle over G/K associated to τ_l. It is shown that the τ_l-spherical 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.

关键词: Spherical function, central limit theorem, hypergeometric function

Abstract:

Key words: Spherical function, central limit theorem, hypergeometric function

中图分类号:

22E30

杨乔华; 张钦. THE SPHERICAL FUNCTIONS AND THE CENTRAL LIMIT THEOREM ON SU(2,2)/S(U(2)×U(2))[J]. 数学物理学报(英文版), 2007, 27(4): 867-874.

Yang Qiaohua; Zhang Qin. THE SPHERICAL FUNCTIONS AND THE CENTRAL LIMIT THEOREM ON SU(2,2)/S(U(2)×U(2))[J]. Acta mathematica scientia,Series B, 2007, 27(4): 867-874.

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

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

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