Publications - Margit Rösler - Tobias Mühlenbruch


Publications of Margit Rösler

MathSciNet author profile


Preprints


1. (with H. Remling) Convolution algebras for Heckman-Opdam polynomials derived from compact Grassmannians. ArXiv:0911.5123

Book chapters


2. (With M. Voit) Dunkl theory, convolution algebras, and related Markov processes.
In: Harmonic and stochastic analysis of Dunkl processes; eds. P. Graczyk, M. Rösler, M. Yor;
Travaux en cours 71, pp. 1-112; Hermann, Paris, 2008. Preprint version: (Link)

1. Dunkl Operators: Theory and Applications.
In: Lecture Notes in Math. vol. 1817, pp. 93--136. (Lecture Notes of the 2002 SIAM Euro Summer School Orthogonal Polynomials and Special functions; eds. E. Koelink, W. van Assche); Springer-Verlag, 2003. (Link)

Articles


30. (With M. Voit) Limit theorems for radial random walks on pxq-matrices as p tends to infinity.
Math. Nachr. 284, 87-104 (2011) (Link) (Link)

29. (with H. Remling) The heat semigroup in the compact Heckman-Opdam setting and the Segal-Bargmann transfrom. IMRN (2010); online first. DOI 10.1093/imrn/rnq239 (Link)

28. Positive convolution structure for a class of Heckman-Opdam hypergeometric functions of type BC.
J. Funct. Anal. 258 (2010), 2779-2800. Online version.

27. Convolution algebras for multivariable Bessel functions.
In: Infinite Dimensional Harmonic Analysis IV (Conf. Proc. Tokyo 2007); eds. J. Hilgert et al; pp. 255-271, World Scientific, Singapore, 2009. (Link)

26. (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)

25. Bessel convolutions on matrix cones.
Compositio Math. 143 (2007), 749--779. (Link)

24. (With M. Voit) SU(d)-biinvariant random walks on SL(d,C) and their Euclidean counterparts.
Acta Appl. Math. 90 (2006), 179--195. (Link)

23. (With M. Voit) Deformations of convolution semigroups on commutative hypergroups.
In: Infinite Dimensional Harmonic Analysis III (Conf. Proceedings Tübingen 2003); World Scientific, Singapore, 2005. (Link)

22. (With H. Rauhut) Radial multiresolution in dimension three. Constr. Approximation 22 nr. 2 (2005), 193--218.
(Link)

21. (With M. Voit) Positivity of Dunkl's intertwining operator via the trigonometric setting.
Int. Math. Res. Not. 63 (2004), 3379--3389. (Link)

20. A positive radial product formula for the Dunkl kernel.
Trans. Amer. Math. Soc. 355 (2003), 2413--2438. (Link)

19. (With M. de Jeu) Asymptotic analysis for the Dunkl kernel.
J. Approx. Theory 119 (2002), 110--126.

18. Short-time estimates for heat kernels asociated with root systems.
In: C. Dunkl, M. Ismail, R. Wong et al (eds.): Special Functions. Proceedings, Hong Kong 1999, pp. 309-323. World Scientific 2000.

17. One-parameter semigroups related to abstract quantum models of Calogero type.
In: H. Heyer et al. (eds.): Infinite Dimensional Harmonic Analysis. Proceedings, Kyoto 1999, pp. 290--305. Gräbner-Verlag 2000. (Link)

16. Positivity of Dunkl's intertwining operator.
Duke Math. J. 98 (1999), 445--463.

15. An uncertainty principle for the Dunkl transform.
Bull. Austral. Math. Soc. 59 (1999), 353--360.

14. (With M. Voit) Partial characters and signed quotient hypergroups.
Canad. J. Math. 51 (1999), 96--116. (Link)

13. (With M. Voit) An uncertainty principle for Hankel transforms.
Proc. Amer. Math. Soc. 127 (1999), 183--194.

12. (With M. Voit) Markov Processes related with Dunkl operators.
Adv. Appl. Math. 21 (1998), 575--643. (Link)

11. (With M. Voit) Biorthogonal polynomials associated with reflection groups and a formula of Macdonald.
J. Comput. Appl. Math. 99 (1998), 337--351.

10. Generalized Hermite polynomials and the heat equation for Dunkl operators.
Commun. Math. Phys. 192 (1998), 519--542.(Link)

9. (With M. Voit) An uncertainty principle for ultraspherical expansions.
J. Math. Anal. Appl. 209 (1997), 624--634.

8. Bessel-type signed hypergroups on $\b R$.
In: Heyer, H., Mukherjea, A. (eds.): Probability measures on groups and related structures XI. Proceedings, Oberwolfach 1994, pp. 292--304. Singapore: World Scientific 1995.
(Link)

7. On the dual of a commutative signed hypergroup.
Manuscr. Math. 88 (1995), 147--163. (Link to DFG-viewer)

6. Trigonometric convolution structures on Z derived from Jacobi polynomials.
J. Comput. Appl. Math. 65 (1995), 357--368.
(Link)

5. Convolution algebras which are not necessarily positivity-preserving.
In: Applications of hypergroups and related measure algebras (Summer research conference, Seattle, 1993). Contemp. Math. 183 (1995), 299--318.

4. (With R. Lasser) A note on property (T) of orthogonal polynomials.
Arch. Math. 60 (1993), 459--463.

3. On optimal linear mean estimators for weakly stationary stochastic processes. \textsl{IMACS Ann. Comp. Appl. Math.} 9 (1991), 373--378.

2. (With R. Lasser) Linear mean estimation of weakly stationary stochastic processes under the aspects of optimality and asymptotic optimality.
Stoch. Processes Appl. 38 (1991), 279--293.

Others


1. Die Symmetrien der regulären Polyeder.
Lehrerfortbildung 2008. TU Clausthal, Mathematikbericht 2008/4.

Habilitation and PhD thesis


a. Contributions to the theory of Dunkl operators. Habilitationsschrift, TU München (1999).  g-zipped postscript format.

b. Durch orthogonale trigonometrische Systeme auf dem Einheitskreis induzierte Faltunsstrukturen auf Z.  Dissertation, TU München (1992)



Publications of Heiko Remling

Preprints


1. (with M. Rösler) The heat semigroup in the compact Heckman-Opdam setting and the Segal-Bargmann transfrom. To appear in IMRN. Preprint (revised version)

2. (with M. Rösler) Convolution algebras for Heckman-Opdam polynomials derived from compact Grassmannians. ArXiv:0911.5123



Publications of Tobias Mühlenbruch

MathSciNet author profile


Articles


5. (with R. Bruggeman) Eigenfunctions of transfer operators and cohomology.
J. Number Theory 129 (2009) 158--181.

4. (with M. Fraczek, D. Mayer, TM, A realization of the Hecke algebra on the space of period functions for $\Gamma\sb 0(n)$.
J. Reine Angew. Math. 603 (2007), 133--163.

3. Hecke operators on period functions for $\Gamma\sb 0(n)$.
J. Number Theory 118 (2006), no. 2, 208--235.

2. (with D. Mayer) From the transfer operator for geodesic flows on modular surfaces to the Hecke operators on period functions of $\Gamma\sb 0(n)$.
Algebraic and topological dynamics, 137--161, Contemp. Math., 385, Amer. Math. Soc., Providence, RI, 2005.

1. Hecke operators on period functions for the full modular group.
Int. Math. Res. Not. 2004, no. 77, 4127--4145.

PhD thesis


Systems of automorphic forms and period functions. PhD-Thesis, Utrecht University (2003)