Prof. Dr. Margit Rösler
Book chapters
- 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.
- (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.
Preprints
- (with D. Brennecken) Limits of Bessel functions for root systems as the rank tends to infinity. To appear in Indag. Math. (Volume in honor of G. van Dijk). ArXiv: 2401.02515.
- (With D. Brennecken) The Laplace transform in Dunkl theory.
To appear in: Research Perspectives Ghent Analysis and PDE Center, Trends in Mathematics, Springer/Birkhäuser.
Journal Articles
- (with D. Brennecken) The Dunkl-Laplace transform and Macdonald's hypergeometric series. Trans. Amer. Math. Soc. 376 (2023), 2419-2447. doi.org/10.1090/tran/8860
- (with M. Voit) Elementary symmetric polynomials and martingales for Heckman-Opdam processes. Contemp.Math. 780 (2022), 243-262.
- (with M. Voit) Sonine formulas and intertwining operators in Dunkl theory. Int. Math. Res. Not. IMRN 2021, 13202-13230. https://doi.org/10.1093/imrn/rnz313
- (with M. Voit) Positive intertwiners for Bessel functions of type B. Proc. Amer. Math. Soc. 149 (2021), 1151-1163.
- Riesz distributions and Laplace transform in the Dunkl setting of type A. J. Funct. Anal. 2020, DOI:10.1016/j.jfa.2020.108506
- (with M. Voit) Beta distributions and Sonine integrals for Bessel functions on symmetric cones. Stud. Appl. Math. 141 (2018), 474-500.
- (with P. Graczyk and T. Luks) On the Green function and Poisson integrals of the Dunkl Laplacian. Potential Anal. 48 (2018), no. 3, 337-360.
- (with M. Voit) A multivariate version of the disk convolution. J. Math. Anal. Appl. 435 (2016), no 1, 701-717.
- (with M. Voit) Integral representation and sharp asymptotic results for some Heckman-Opdam hypergeometric functions of type BC. Trans. Amer. Math. Soc. 368 (2016), no 8, 6005-6032.
- (with H. Remling) Convolution algebras for Heckman-Opdam polynomials derived from compact Grassmannians. J. Approx. Theory 197 (2015), 30-48.
- (with M. Voit) A central limit theorem for random walks on the dual of a compact Grassmannian. SIGMA Symmetry Integrability Geom. Methods Appl. 11 (2015), paper 013, 18pp.
- (with M. Voit) Olshanski spherical functions for infinite dimensional motion groups of fixed rank. J. Lie Theory 23 (2013), 899-920.
- (with T. Koornwinder and M. Voit): Limit transitions between hypergeometric functions of type BC and type A. Compositio Math. 149 (2013), 1381-1400.
- (With M. Voit) Limit theorems for radial random walks on pxq-matrices as p tends to infinity. Math. Nachr. 284, 87-104 (2011)
- (with H. Remling) The heat semigroup in the compact Heckman-Opdam setting and the Segal-Bargmann transform. IMRN 2011 (18), 4200-425 (2011).
- Positive convolution structure for a class of Heckman-Opdam hypergeometric functions of type BC. J. Funct. Anal. 258 (2010), 2779-2800.
- (With M. Voit) A limit relation for Dunkl-Bessel functions of type A and B. SIGMA 4 (2008), 083.
- Bessel convolutions on matrix cones. Compositio Math. 143 (2007), 749-779.
- (With M. Voit) SU(d)-biinvariant random walks on SL(d,C) and their Euclidean counterparts. Acta Appl. Math. 90 (2006), 179-195.
- (With H. Rauhut) Radial multiresolution in dimension three. Constr. Approximation 22 (2005), 193--218.
- (With M. Voit) Positivity of Dunkl's intertwining operator via the trigonometric setting. Int. Math. Res. Not. 63 (2004), 3379-3389.
- A positive radial product formula for the Dunkl kernel. Trans. Amer. Math. Soc. 355 (2003), 2413-2438.
- (With M. de Jeu) Asymptotic analysis for the Dunkl kernel. J. Approx. Theory 119 (2002), 110--126.
- Positivity of Dunkl's intertwining operator. Duke Math. J. 98 (1999), 445--463.
- An uncertainty principle for the Dunkl transform. Bull. Austral. Math. Soc. 59 (1999), 353--360.
- (With M. Voit) Partial characters and signed quotient hypergroups. Canad. J. Math. 51 (1999), 96--116.
- (With M. Voit) An uncertainty principle for Hankel transforms. Proc. Amer. Math. Soc. 127 (1999), 183--194.
- (With M. Voit) Markov Processes related with Dunkl operators. Adv. Appl. Math. 21 (1998), 575--643.
- (With M. Voit) Biorthogonal polynomials associated with reflection groups and a formula of Macdonald. J. Comput. Appl. Math. 99 (1998), 337--351.
- Generalized Hermite polynomials and the heat equation for Dunkl operators. Commun. Math. Phys. 192 (1998), 519--542.
- (With M. Voit) An uncertainty principle for ultraspherical expansions. J. Math. Anal. Appl. 209 (1997), 624--634.
- On the dual of a commutative signed hypergroup. Manuscr. Math. 88 (1995), 147--163.
- Trigonometric convolution structures on Z derived from Jacobi polynomials. J. Comput. Appl. Math. 65 (1995), 357--368.
- (With R. Lasser) A note on property (T) of orthogonal polynomials. Arch. Math. 60 (1993), 459--463.
- (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.
Conference Proceedings
- 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.
- (With M. Voit) Deformations of convolution semigroups on commutative hypergroups. In: Infinite Dimensional Harmonic Analysis III (Conf. Proc. Tübingen 2003); World Scientific, Singapore, 2005.
- 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.
- 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.
- Bessel-type signed hypergroups on R. In: Heyer, H., Mukherjea, A. (eds.): Probability measures on groups and related structures XI. Proc. Oberwolfach 1994, pp. 292-304. Singapore: World Scientific 1995.
- 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.
- On optimal linear mean estimators for weakly stationary stochastic processes. IMACS Ann. Comp. Appl. Math. 9 (1991), 373--378.
Others
- Die Symmetrien der regulären Polyeder.
Lehrerfortbildung 2008. TU Clausthal, Mathematikbericht 2008/4.
Habilitation and PhD thesis
- Contributions to the theory of Dunkl operators. Habilitation Thesis, TU Munich, 1999.
- Durch orthogonale trigonometrische Systeme auf dem Einheitskreis induzierte Faltunsstrukturen auf Z. Dissertation, TU Munich, 1992.
Dr. Effie Papageorgiou
- Daskaloyannis C., Fotiadis A., Papageorgiou E. and Polychrou G., New examples of harmonic maps to the hyperbolic plane via Bäcklund transformation, Rev. Mat. Complut. (2023).
- Grigor'yan A., Papageorgiou E. and Zhang H.-W., Asymptotic behavior of the heat semigroup on certain Riemannian manifolds, To appear in "From Classical Analysis to Analysis on Fractals - The Robert Strichartz Memorial Volume”, Springer (2023).
- Anker J.-Ph., Papageorgiou E. and Zhang H.-W., Asymptotic behavior of solutions to the heat equation on noncompact symmetric spaces, J. Funct. Anal. 284, 6 (2023).
- Diederichs B., Kolountzakis M. N. and Papageorgiou E., How many Fourier coefficients are needed, Monatsh. Math. (2022).
- Kolountzakis M. N. and Papageorgiou E., Functions tiling with several lattices, J. Fourier Anal. Appl. 28, 68 (2022).
- Papageorgiou E., Riesz means on locally symmetric spaces, Complex Anal. Oper. Theory 16, 43 (2022).
- Papageorgiou E., Oscillating multipliers on symmetric and locally symmetric spaces, Canad. J. Math. 74, no.3 (2022).
- Papageorgiou E., Riesz means on homogeneous trees, Concr. Oper., 8 (2021), no.1.
- Fotiadis A. and Papageorgiou E., Riesz means on symmetric spaces, J. Math. Anal. Appl., 499 (2021), no.1.
- Papageorgiou E., Oscillating multipliers on rank one locally symmetric spaces, J. Math. Anal. Appl., 494 (2021), no.1.
- Fotiadis A. and Papageorgiou E., Littlewood-Paley-Stein operators on Damek-Ricci spaces, Math. Nachr., 293 (2020), no.12
Dominik Brennecken
Algebraically Independent Generators for the Algebra of Invariant Differential Operators on SLn(R)/SOn(R)
D. Brennecken, J. Hilgert, L. Ciardo, Journal of Lie Theory 31 (2021) 459--468.
The Dunkl-Laplace transform and Macdonald’s hypergeometric series
D. Brennecken, M. Rösler, Transactions of the American Mathematical Society 376 (2023) 2419–2447.
Dunkl convolution and elliptic regularity for Dunkl operators
D. Brennecken, ArXiv:2308.07710 (2023).
Hankel transform, <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:mi mathvariant="script">K</mml:mi></mml:math>-Bessel functions and zeta distributions in the Dunkl setting
D. Brennecken, Journal of Mathematical Analysis and Applications 535 (2024).
Limits of Bessel functions for root systems as the rank tends to infinity
Alle Publikationen anzeigen
D. Brennecken, M. Rösler, Indagationes Mathematicae (n.d.).
Alena Ernst
Transitivity in finite general linear groups
A. Ernst, K.-U. Schmidt, Mathematische Zeitschrift 307 (2024).
Intersection theorems for finite general linear groups
Alle Publikationen anzeigen
A. Ernst, K.-U. Schmidt, Mathematical Proceedings of the Cambridge Philosophical Society 175 (2023) 129–160.