Harmonic Analysis Group: Research
Research interests:
- Harmonic analysis and special functions associated with root systems (Dunkl-Cherednik theory)
- harmonic and geometric analysis on symmetric spaces, on manifolds and graphs
- asymptotic harmonic analysis
- convolution algebras and hypergroups
- aspecets of harmonic analysis in coding theory
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
- DFG Research project "Combinatorics in finite classical groups"
Research seminar:
- Research Seminar "Geometric and Harmonic Analysis" (with T. Weich, J. Hilgert and J. Frahm, Aaarhus)
Publications:
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.