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43 Publications


2023 | Journal Article | LibreCat-ID: 36294
D. Brennecken and M. Rösler, “The Dunkl-Laplace transform and Macdonald’s hypergeometric series,” Transactions of the American Mathematical Society, vol. 376, no. 4, pp. 2419–2447, 2023, doi: 10.1090/tran/8860.
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2022 | Journal Article | LibreCat-ID: 38039
M. Rösler and M. Voit, “Elementary symmetric polynomials and martingales for Heckman-Opdam processes,” Contemporary Mathematics, no. 780, pp. 243–262, 2022, doi: 10.48550/ARXIV.2108.03228.
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2021 | Journal Article | LibreCat-ID: 37649
M. Rösler and M. Voit, “Sonine Formulas and Intertwining Operators in Dunkl Theory,” International Mathematics Research Notices, vol. 2021, no. 17, pp. 13202–13230, 2021, doi: 10.1093/imrn/rnz313.
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2021 | Journal Article | LibreCat-ID: 37659
M. Rösler and M. Voit, “Positive intertwiners for Bessel functions of type B,” Proceedings of the American Mathematical Society, vol. 149, no. 3, pp. 1151–1163, 2021, doi: 10.1090/proc/15312.
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2020 | Journal Article | LibreCat-ID: 37660
M. Rösler, “Riesz distributions and Laplace transform in the Dunkl setting of type A,” Journal of Functional Analysis, vol. 278, no. 12, Art. no. 108506, 2020, doi: 10.1016/j.jfa.2020.108506.
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2018 | Journal Article | LibreCat-ID: 37661
M. Rösler and M. Voit, “Beta Distributions and Sonine Integrals for Bessel Functions on Symmetric Cones,” Studies in Applied Mathematics, vol. 141, no. 4, pp. 474–500, 2018, doi: 10.1111/sapm.12217.
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2018 | Journal Article | LibreCat-ID: 37662
M. Rösler, P. Graczyk, and T. Luks, “On the Green Function and Poisson Integrals of the Dunkl Laplacian,” Potential Analysis, vol. 48, no. 3, pp. 337–360, 2018, doi: 10.1007/s11118-017-9638-6.
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2017 | Journal Article | LibreCat-ID: 40049
P. Graczyk, T. Luks, and M. Rösler, “On the Green Function and Poisson Integrals of the Dunkl Laplacian,” Potential Analysis, vol. 48, no. 3, pp. 337–360, 2017, doi: 10.1007/s11118-017-9638-6.
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2016 | Journal Article | LibreCat-ID: 38032
M. Rösler and M. Voit, “Integral representation and sharp asymptotic results for some Heckman-Opdam hypergeometric functions of type BC,” Transactions of the American Mathematical Society, vol. 368, no. 8, pp. 6005–6032, 2016, doi: 10.48550/ARXIV.1402.5793.
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2016 | Journal Article | LibreCat-ID: 37663
M. Rösler and M. Voit, “A multivariate version of the disk convolution,” Journal of Mathematical Analysis and Applications, vol. 435, no. 1, pp. 701–717, 2016, doi: 10.1016/j.jmaa.2015.10.062.
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2015 | Journal Article | LibreCat-ID: 38037
M. Rösler and M. Voit, “A Central Limit Theorem for Random Walks on the Dual of a Compact Grassmannian,” Symmetry, Integrability and Geometry: Methods and Applications, vol. 11, no. 013, p. 18pp, 2015, doi: 10.3842/sigma.2015.013.
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2014 | Journal Article | LibreCat-ID: 37667
M. Rösler and H. Remling, “Convolution algebras for Heckman–Opdam polynomials derived from compact Grassmannians,” Journal of Approximation Theory, vol. 197, pp. 30–48, 2014, doi: 10.1016/j.jat.2014.07.005.
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2013 | Journal Article | LibreCat-ID: 37672
M. Rösler, T. Koornwinder, and M. Voit, “Limit transition between hypergeometric functions of type BC and type A,” Compositio Mathematica, vol. 149, no. 8, pp. 1381–1400, 2013, doi: 10.1112/s0010437x13007045.
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2013 | Journal Article | LibreCat-ID: 38038
M. Rösler and M. Voit, “Olshanski spherical functions for infinite dimensional motion groups of fixed rank,” Journal of Lie Theory 23, no. 4, pp. 899--920, 2013, doi: 10.48550/ARXIV.1210.1351.
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2011 | Journal Article | LibreCat-ID: 39911
M. Rösler and H. Remling, “The Heat Semigroup in the Compact Heckman-Opdam Setting and the Segal-Bargmann Transform,” International Mathematics Research Notices, no. 18, pp. 4200–4225, 2011, doi: 10.1093/imrn/rnq239.
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2011 | Journal Article | LibreCat-ID: 39921
M. Rösler and M. Voit, “Limit theorems for radial random walks on p × q-matrices as p tends to infinity,” Mathematische Nachrichten, vol. 284, no. 1, pp. 87–104, 2011, doi: 10.1002/mana.200710235.
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2010 | Journal Article | LibreCat-ID: 39924
M. Rösler, “Positive convolution structure for a class of Heckman–Opdam hypergeometric functions of type BC,” Journal of Functional Analysis, vol. 258, no. 8, pp. 2779–2800, 2010, doi: 10.1016/j.jfa.2009.12.007.
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2009 | Conference Paper | LibreCat-ID: 39950
M. Rösler, “Convolution algebras for multivariable Bessel functions,” in Infinite Dimensional Harmonic Analysis IV, 2009, pp. 255–271, doi: 10.1142/9789812832825_0017.
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2008 | Journal Article | LibreCat-ID: 39941
M. Rösler and M. Voit, “A Limit Relation for Dunkl-Bessel Functions of Type A and B,” Symmetry, Integrability and Geometry: Methods and Applications, vol. 4, no. 083, p. 9pp, 2008, doi: 10.3842/sigma.2008.083.
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2007 | Journal Article | LibreCat-ID: 39947
M. Rösler, “Bessel convolutions on matrix cones,” Compositio Mathematica, vol. 143, no. 03, pp. 749–779, 2007, doi: 10.1112/s0010437x06002594.
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