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.

引用

页码：48 / 54

页数：7

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