Welcome to the homepage of the research group "Harmonic Analysis"
Our research centers around the interplay between harmonic analysis and the modern theory of multivariate special functions.
In particular, we are interested in structures which are motivated by the analysis on symmetric spaces, but allow far-reaching generalizations within the framework of Dunkl theory and its variants due to Heckman-Opdam and Macdonald-Cherednik. Typically, new methods have to be developed in order to extend known results from the "geometric" setting of symmetric spaces to the general case.
From June 26-30, a Conference on "Processes and Heat kernels with symmetries" will take place in Angers (France) within the thematic semester "Probability" organized by the Centre Henri Lebesgue.
Besides a number of research talks, the Conference will feature 4 mini-courses. Among the lecturers and invited speakers are: L. Saloff-Coste, M. Defosseux, J. Dziubanski, M. Voit, A. Grigor'yan, N. O'Connell, B. Trojan, J. Woerner.
With the University of Bielefeld, we will receive 10.7 million in research funds for the Collaborative Research Centre "Integer Structures in Geometry and Representation Theory" from the German Research Foundation (DFG) from 2023 for an initial period of four years.
The Transregio will bring together the expertise of 23 professors from various different sub-fields of mathematics.
And a total of 32 PhD and 28 post-doc students will work in the…