Margit Rösler: Research

Research Interests

Harmonic Analysis and Special Functions

In particular:

  • Dunkl operators and special functions associated with root systems
  • Analysis on symmetric spaces, spherical functions
  • Asymptotic harmonic analysis
  • Hypergeometric functions of matrix argument
  • Convolution algebras and hypergroups
  • Limit theorems for random walks on algebraic structures
  • Applications and interrelations: Quantum integrable models, random matrices

Publications and Preprints:

recent:

  • (with P. Graczyk and T. Luks) On the Green function and Poisson integrals of the Dunkl Laplacian. arXiv:1607.08746. Erscheint in Potential Anal.
  • (with M. Voit) A multivariate version of the disk convolution.  
    J.Math. Anal. Appl. 435 (2016), no 1, 701-717. arXiv:1504.03868.
  • (with M. Voit) Integral representation and uniform asymptotic results for some Heckman-Opdam hypergeometric functions of type BC. 
    Trans. Amer. Math. Soc. 368 (2016), no 8, 6005-6032.
  • (with M. Voit) A central limit theorem for random walks on the dual of a compact Grassmannian.
    SIGMA 11 (2015), 013, 18 pages; ArXiv: 1409.4213
  • (with H. Remling) Convolution algebras for Heckman-Opdam polynomials derived from compact Grassmannians. J. Approx. Theory 197 (2015), 30-48. 
  • (with M. Voit): Olshanski spherical functions for infinite dimensional motion groups of fixed rank.
    J. Lie Theory 23 (2013), 899--920. ArXiv: 1210.1351
  • (with T. Koornwinder and M. Voit): Limit transitions between hypergeometric functions of type BC and type A.
    Compositio Math. 149  (2013), 1381-1400. ArXiv: 1207.0487v3

Full list of publications

Editorship:

  • SIGMA special issue on "Dunkl Operators and Related Topics";
    Edited by C. Dunkl, P. Forrester, M. de Jeu, M. Rösler and Y. Xu, 292 p., completed 2009. (Link to the issue)
  • P. Graczyk, M. Rösler, M. Yor (eds.): Harmonic and Stochastic Analysis of Dunkl Processes, Travaux en cours 71, Hermann, Paris, 2008.

Former members of the group:

  • Dr. Heiko Remling (now Deutsche Bundesbank, Mainz)
  • Dr. Tobias Mühlenbruch, now FU Hagen
  • Dipl. Math. Andreas Schmied

Impressum | Webmaster | Letzte Änderungen am : 11.01.2018