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.
|Number of pages||21|
|Journal||Functional Analysis and its Applications|
|Publication status||Published - Oct 2003|
- Bilateral hypergeometric series
- Dougall's formula
- Spherical functions
- Symmetric spaces