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49 Publications
2024 | Journal Article | LibreCat-ID: 54820
D. Brennecken and M. Rösler, “Limits of Bessel functions for root systems as the rank tends to infinity,” Indagationes Mathematicae, 2024, doi: 10.1016/j.indag.2024.05.004.
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2024 | Book Chapter | LibreCat-ID: 56001
D. Brennecken and M. Rösler, “The Laplace transform in Dunkl theory,” in Women in Analysis and PDE, vol. 5, M. Chatzakou, M. Ruzhansky, and D. Stoeva, Eds. Birkhäuser Cham, 2024, p. 425.
LibreCat
2024 | Preprint | LibreCat-ID: 56717 | 
L. Langen and M. Rösler, “Multiresolution analysis on spectra of hermitian matrices,” arXiv:2410.10364. 2024.
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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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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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