Homepage of Prof. Margit Rösler

Research
Interests

Publications,
Editorship

Short CV

Teaching/Lehre
(in german)
WS 10/11

Responsibilities
(in german)

Research group
Harmonic Analysis


Margit Rösler

Coordinates

TU Clausthal
Department of Mathematics
Erzstraße 1
D-38678 Clausthal-Zellerfeld
Germany

Office: 304
Phone: +49 5323 72 - 2409
Fax: +49 5323 72 - 5011
E-Mail: (@math.tu-clausthal.de) roesler

Sprechstunde nach Vereinbarung
(am besten per e-mail)

FOTO

Research interests

Harmonic Analysis and Special Functions

In particular:
  • Dunkl operators and special functions associated with root systems
  • Analysis on symmetric spaces
  • Hypergeometric functions of matrix argument
  • Convolution algebras and hypergroups
  • Applications and interrelations: Quantum integrable models, stochastic processes, random matrices
  • Wavelets with symmetries
  • Uncertainty principles

Publications and Preprints

Recent:
  • (with H. Remling) The heat semigroup in the compact Heckman-Opdam setting and the Segal-Bargmann transform; preprint 2010; accepted for publication in IMRN. ArXiv:1003.2992
  • (with H. Remling) Convolution algebras for Heckman-Opdam polynomials derived from compact Grassmannians; submitted. ArXiv:0911.5123
  • Positive convolution structure for a class of Heckman-Opdam hypergeometric functions of type BC; J. Funct. Anal. 258 (2010), 2779-2800. Online version
  • (With M. Voit) Limit theorems for radial random walks on pxq-matrices as p tends to infinity. To appear in Math. Nachr. (Link)
  • Convolution algebras for multivariable Bessel functions. In: Infinite Dimensional Harmonic Analysis IV (Proc. Conf. Tokyo 2007); eds. J. Hilgert et al., pp. 255-271. World Scientific 2009.
  • (With M. Voit) Dunkl theory, convolution algebras, and related Markov processes.In: Harmonic and stochastic analysis of Dunkl processes; eds. P. Graczyk et al., Travaux en cours 71, Hermann, Paris, 2008, pp. 1-112. Preprint version: (Link)
  • (With M. Voit) A limit relation for Dunkl-Bessel functions of type A and B. SIGMA 4 (2008), 083, 9 pages. ArXiv: math.CA/0812.0739 (Link)

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.

Teaching/Lehre (in german):

Wintersemester 10/11: Materialien:


Responsibilities (in german):

  • Mitglied des Fakultätsrats (Fakultät für Mathematik, Informatik und Maschinenbau)
  • Mitglied des Direktoriums des IfM
  • Bibliothek des IfM
  • Herausgabe der Mathematik-Berichte
  • Vorlesungsplanung am IfM
  • Ständige Senatskommission: Datenverarbeitung und Medien
Last Update: 22/02/2010 or later.