Abstract
Eric M. Opdam studied a generalization of the system of differential equations satisfies by the Harish-Chandra spherical functions, and with Gerrit Heckman established the theory of Heckman-Opdam hypergeometric functions by the use of a trigonometric extension of Dunkl operators. In this note he introduces this theory, and includes a recent result on the harmonic analysis of the hypergeometric functions and also an application of Dunkl operators to the study of reflection groups.
