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：
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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.
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页码：281 / 301
页数：20
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