Analytical and Probabilistic Aspects of Dunkl Theory

The theory of Dunkl had originated with the introduction by Charles Dunkl in 1989 of the Dunkl operators. At the same time, E.M. Opdam and G.I. Heckman and I. Cherednik have introduced similar operators by trigonometric methods. Since then, several mathematicians in the world became interested in this theory from several points of view. In particular, this theory is one of the major themes of research of "the school of harmonic analysis" in Tunisia. Several research studies have been published by Tunisian researchers in this field.

The school aims to provide basic training in basic Dunkl theories of rational and trigonometric setting and present the latest developments of these theories namely associated harmonic analysis, probabilities applications such as random process in the cones, in the chambers of Weyl, …..

The school’s goal is to contribute to the promotion of research groups working on the Dunkl theory and propose an opening theme for young researchers and openness to other geographical regions of the world especially Europe, America and Asia by providing the conditions to promote trade and the establishment of collaborations with mathematicians in these regions.