On spherical functions on the group SU(2) x SU(2) x SU(2)

被引：3
|
作者：
Neretin, Yu. A. [1 ,2 ,3 ]
机构：
[1] Univ Vienna, Dept Math, A-1010 Vienna, Austria
[2] Moscow MV Lomonosov State Univ, Moscow, Russia
[3] Inst Theoret & Expt Phys, Moscow 117259, Russia
来源：
FUNCTIONAL ANALYSIS AND ITS APPLICATIONS | 2010年 / 44卷 / 01期
关键词：
spherical function; orthogonal polynomial; Fock space; invariant of SU(2);
D O I：
10.1007/s10688-010-0005-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the group G:= SU(2) x ... x SU(2) (l factors), where SU(2) is the group of unitary 2 x 2 matrices with unit determinant. Let K a parts per thousand integral SU(2) be the diagonal subgroup of G. We obtain the generating function of all K-spherical functions on G.
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页码：48 / 54
页数：7
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