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| Authors: | Yu. A. Neretin |
| Affiliation: | (1) Institute of Theoretical and Experimental Physics, Math. Phys. Group, University of Vienna, Vienna |
| Abstract: | We show that each K-finite matrix element of an irreducible infinite-dimensional representation of a semisimple Lie group can be obtained from spherical functions by a finite collection of operations. In particular, each matrix element admits a finite expression via the Heckman-Opdam hypergeometric functions. |
| Keywords: | semisimple Lie group Harish-Chandra module infinite-dimensional representation spherical function matrix element special function Heckman-Opdam hypergeometric function |
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