Probability Measures on Dual Objects to Compact Symmetric Spaces and Hypergeometric Identities

被引：0

作者：

G. I. Olshanski

机构：

[1] Institute for Information Transmission Problems,

来源：

Functional Analysis and Its Applications | 2003年 / 37卷

关键词：

Dougall's formula; bilateral hypergeometric series; spherical functions; symmetric spaces;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We derive, in several different ways, combinatorial identities which are multidimensional analogs of classical Dougall's formula for a bilateral hypergeometric series of the type 2H2. These identities have a representation-theoretic meaning. They make it possible to construct concrete examples of spherical functions on inductive limits of symmetric spaces. These spherical functions are of interest to harmonic analysis.

引用

页码：281 / 301

页数：20

共 38 条

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