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Funktsional'nyi Analiz i ego Prilozheniya, 2003, Volume 37, Issue 4, Pages 49–73
DOI: https://doi.org/10.4213/faa168 (Mi faa168) 		 
This article is cited in 10 scientific papers (total in 10 papers)

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

G. I. Olshanskii

Institute for Information Transmission Problems, Russian Academy of Sciences
Full-text PDF (302 kB) Citations (10)
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DOI: https://doi.org/10.4213/faa168
Abstract: 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 ${}_2H_2$. 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.
Keywords: Dougall's formula, bilateral hypergeometric series, spherical functions, symmetric spaces.
Received: 10.09.2003
English version:
Functional Analysis and Its Applications, 2003, Volume 37, Issue 4, Pages 281–301
DOI: https://doi.org/10.1023/B:FAIA.0000015579.81046.cb
Bibliographic databases:
Document Type: Article
UDC: 517.986.68+519.117
Language: Russian
Citation: G. I. Olshanskii, “Probability Measures on Dual Objects to Compact Symmetric Spaces and Hypergeometric Identities”, Funktsional. Anal. i Prilozhen., 37:4 (2003), 49–73; Funct. Anal. Appl., 37:4 (2003), 281–301
Citation in format AMSBIB
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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