Acta mathematica scientia, Series B >
THE SPHERICAL FUNCTIONS AND THE CENTRAL LIMIT THEOREM ON SU(2,2)/S(U(2)×U(2))
Received date: 2004-11-15
Revised date: 2005-08-29
Online published: 2007-10-20
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.
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 . DOI: 10.1016/S0252-9602(07)60084-8
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