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.
• (With D. Brennecken) The Laplace transform in Dunkl theory. In: M. Chatzakou, M. Ruzhansky, D. Stoeva (Eds.), Women in Analysis and PDE. Research Perspectives Ghent Analysis and PDE Center 5, Trends in Mathematics, Springer/Birkhäuser, pp. 77-87, 2024. 

Preprints

• (with L. Langen)   Multiresolution analysis on spectra of Hermitian matrices.  Preprint 2024, submitted. arXiv:2410.10364.

Journal Articles

• (with D. Brennecken) Limits of Bessel functions for root systems as the rank tends to infinity. Indag. Math. (Volume in honor of G. van Dijk) (2024), https://doi.org/10.1016/j.indag.2024.05.004, ArXiv: 2401.02515.
• (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, Issue 17, pp. 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) Sonine formulas and intertwining operators in Dunkl theory. To appear in Int. Math. Res. Not. IMRN, arXiv (preliminary version): 1902.02821
• (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.