Geodesic
Probability Measures on Dual Objects to Compact Symmetric Spaces and Hypergeometric Identities
Funkcionalʹnyj analiz i ego priloženiâ, Tome 37 (2003) no. 4, pp. 49-73

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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. 
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     author = {G. I. Olshanskii},
     title = {Probability {Measures} on {Dual} {Objects} to {Compact} {Symmetric} {Spaces} and {Hypergeometric} {Identities}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
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G. I. Olshanskii. Probability Measures on Dual Objects to Compact Symmetric Spaces and Hypergeometric Identities. Funkcionalʹnyj analiz i ego priloženiâ, Tome 37 (2003) no. 4, pp. 49-73. http://geodesic.mathdoc.fr/item/FAA_2003_37_4_a9/