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Institut für Mathematik
 

Teaching
(in german)

Research
Interests

Publications

Editorship

Short CV

Research group
Harmonic Analysis


Homepage of 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

Office hours: by appointment

FOTO

Teaching (in german)

Lehre im Wintersemester 09/10:
Die Vorlesungszeiten werden noch bekanntgegeben; siehe auch HISLSF und STUD-IP!
  • Fourieranalysis (3h Vorlesung, 1h Übungen)
    (Wahlpflicht Analysis/Reine Mathematik)
  • Liegruppen (3h Vorlesung, 1h Übungen)
    (Vertiefung im Bereich Analysis/Reine Mathematik)
  • Seminar Analysis: Funktionentheorie (mit H. Remling)
    Siehe: Ankündigung
  • Oberseminar Analysis und Spektraltheorie: Brasche, Demuth, Rösler
    Mi 13-15, Seminarraum A.

  • Link zu :  Vorträge am Institut
Link zu meinen Lehrveranstaltungen früherer Semester

Research Interests

Harmonic Analysis and Special Functions

in particular:
  • Dunkl operators and special functions associated with root systems
  • Hypergeometric functions of matrix argument
  • Symmetric spaces and their spherical functions
  • 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) 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; to appear in J. Funct. Anal. Online version, 2009
  • (With M. Voit) Limit theorems for radial random walks on pxq-matrices as p tends to infinity. To appear in Math. Nachr. (Link)
  • (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. ArXiv: math.CA/0812.0739 (Link)
Full list of publications

Editorship

  • SIGMA special issue (2007-08) on "Dunkl Operators and Related Topics";
    I was a guest editor
  • P. Graczyk, M. Rösler, M. Yor (eds.): Harmonic and Stochastic Analysis of Dunkl Processes, Travaux en cours 71, Hermann, Paris, 2008.

Short CV

  • Study of Mathematics (Minor Physics), TU Munich and ETH Zürich 1982-88
  • Grants by: Studienstiftung des Deutschen Volkes, Stiftung Maximilianeum
  • Diploma in Mathematics, TU Munich 1988
  • Research associate (Nachwuchswissenschaftlerin), GSF Research Center for Environment and Health Munich 1989-92
  • Doctorate in Mathematics, TU Munich 1992
    Advisors: R. Lasser, E. Thoma
  • Postdoc and Assistant Professor, Department of Mathematics, TU Munich 1993-2000
  • DFG Research grant, Univ. of Virginia, Charlottesville, USA 1996-97
  • Habilitation in Mathematics, TU Munich 1999
  • Oberassistentin (Lecturer), Univ. Göttingen 2000-04
  • NWO Research grant, Univ. van Amsterdam, Netherlands, 2004-05, interrupted by
  • Substitute professorship, TU Darmstadt, winter term 04/05
  • Associate professor, TU Clausthal, since 2006.

Visiting positions/research stays:
  • TU Wroclaw, Poland, October 1999
  • Isaac Newton Institute, Cambridge, UK, March 2001 (guest researcher within the programme Symmetric Functions and Macdonald Polynomials)
  • Univ. Tunis II, Tunisia, March 02
  • Capital Normal University, Beijing, September 03
  • Guest professor Univ. Metz, France, October 05
  • Univ. Bochum, SFB/TR 12 (Symmetries and universality in mesoscopic systems), 05 and 06
  • University of Aarhus, Denmark, September 08

Last Update: 02/03/2009 or later.