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

G. I. Olshanskii

Funkcionalʹnyj analiz i ego priloženiâ, Tome 37 (2003) no. 4, pp. 49-73.

Résumé

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.

Détail

Keywords: Dougall's formula, bilateral hypergeometric series, spherical functions, symmetric spaces.

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