Cuspidal hypergeometric functions
Abstract
Description
We prove the Plancherel formula for hypergeometric functions associated to a root system in the situation when the root multiplicities are negative (but close to 0). As a result we obtain a classification of the hypergeometric functions that are square integrable, and we find a closed formula for their square norm as a function of the root multiplicities.
18 pages, no figures. This paper is dedicated to Richard Askey, on the occasion of his 65th birthday. It will appear in a special issue of Methods and Applications of Analysis
18 pages, no figures. This paper is dedicated to Richard Askey, on the occasion of his 65th birthday. It will appear in a special issue of Methods and Applications of Analysis