Acta mathematica scientia,Series B

• Articles • Previous Articles     Next Articles

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

Yang Qiaohua; Zhang Qin   

  1. 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

Abstract:

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

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

CLC Number: 

  • 22E30
Trendmd