Research interests:

Dunkl-Cherednik theory and special functions associated with root systems

harmonic analysis on symmetric spaces

connections and applications, such as: random matrices, quantum integrable models

harmonic and geometric analysis on manifolds, in particular on symmetric spaces, and on graphs

asymptotic harmonic analysis

convolution algebras and hypergroups

Macdonald-Cherednik theory

Probabilistic potential theory, Lévy processes

Current research activities:

DFG Research project Asymptotic analysis and the bridge to symmetric cones in Dunkl theory

we are participating with two projects in the  SFB/TRR 358 "Integral structures in geometry and representation theory" (Bielefeld-Paderborn), funded by the German research foundation DFG

Research Seminar "Geometric and Harmonic Analysis"  (with T. Weich, J. Hilgert and J. Frahm, Aaarhus)

Publications:

publications Margit Rösler

publications Dominik Brennecken

publications Tomasz Luks

publications Effie Papageorgiou

publications Alena Ernst

Editorial activities (M. Rösler):

Studies in Applied Mathematics, member of the editorial board since 2020.

C. Dunkl, P. Forrester, M. de Jeu, M. Rösler, Y. Xu (eds.):  Special issue on Dunkl operators and related topics, SIGMA, 2009.

P. Graczyk, M. Rösler, M. Yor (eds.): Harmonic and Stochastic Analysis of Dunkl Processes, Travaux en cours 71, Hermann, Paris, 2008.

Link to Conferences