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49 Publications
2024 | Journal Article | LibreCat-ID: 54820
Brennecken, D., & Rösler, M. (2024). Limits of Bessel functions for root systems as the rank tends to infinity. Indagationes Mathematicae. https://doi.org/10.1016/j.indag.2024.05.004
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| DOI
2024 | Book Chapter | LibreCat-ID: 56001
Brennecken, D., & Rösler, M. (2024). The Laplace transform in Dunkl theory. In M. Chatzakou, M. Ruzhansky, & D. Stoeva (Eds.), Women in Analysis and PDE (Vol. 5, p. 425). Birkhäuser Cham.
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2024 | Preprint | LibreCat-ID: 56717 | 
Langen, L., & Rösler, M. (2024). Multiresolution analysis on spectra of hermitian matrices. In arXiv:2410.10364.
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2023 | Journal Article | LibreCat-ID: 36294
Brennecken, D., & Rösler, M. (2023). The Dunkl-Laplace transform and Macdonald’s hypergeometric series. Transactions of the American Mathematical Society, 376(4), 2419–2447. https://doi.org/10.1090/tran/8860
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| DOI
2022 | Journal Article | LibreCat-ID: 38039
Rösler, M., & Voit, M. (2022). Elementary symmetric polynomials and martingales for Heckman-Opdam processes. Contemporary Mathematics, 780, 243–262. https://doi.org/10.48550/ARXIV.2108.03228
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| DOI
2021 | Journal Article | LibreCat-ID: 37649
Rösler, M., & Voit, M. (2021). Sonine Formulas and Intertwining Operators in Dunkl Theory. International Mathematics Research Notices, 2021(17), 13202–13230. https://doi.org/10.1093/imrn/rnz313
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| DOI
2021 | Journal Article | LibreCat-ID: 37659
Rösler, M., & Voit, M. (2021). Positive intertwiners for Bessel functions of type B. Proceedings of the American Mathematical Society, 149(3), 1151–1163. https://doi.org/10.1090/proc/15312
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2020 | Journal Article | LibreCat-ID: 37660
Rösler, M. (2020). Riesz distributions and Laplace transform in the Dunkl setting of type A. Journal of Functional Analysis, 278(12), Article 108506. https://doi.org/10.1016/j.jfa.2020.108506
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2018 | Journal Article | LibreCat-ID: 37661
Rösler, M., & Voit, M. (2018). Beta Distributions and Sonine Integrals for Bessel Functions on Symmetric Cones. Studies in Applied Mathematics, 141(4), 474–500. https://doi.org/10.1111/sapm.12217
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| DOI
2018 | Journal Article | LibreCat-ID: 37662
Rösler, M., Graczyk, P., & Luks, T. (2018). On the Green Function and Poisson Integrals of the Dunkl Laplacian. Potential Analysis, 48(3), 337–360. https://doi.org/10.1007/s11118-017-9638-6
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2016 | Journal Article | LibreCat-ID: 38032
Rösler, M., & Voit, M. (2016). Integral representation and sharp asymptotic results for some Heckman-Opdam hypergeometric functions of type BC. Transactions of the American Mathematical Society, 368(8), 6005–6032. https://doi.org/10.48550/ARXIV.1402.5793
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2016 | Journal Article | LibreCat-ID: 37663
Rösler, M., & Voit, M. (2016). A multivariate version of the disk convolution. Journal of Mathematical Analysis and Applications, 435(1), 701–717. https://doi.org/10.1016/j.jmaa.2015.10.062
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2015 | Journal Article | LibreCat-ID: 38037
Rösler, M., & Voit, M. (2015). A Central Limit Theorem for Random Walks on the Dual of a Compact Grassmannian. Symmetry, Integrability and Geometry: Methods and Applications, 11(013), 18pp. https://doi.org/10.3842/sigma.2015.013
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2014 | Journal Article | LibreCat-ID: 37667
Rösler, M., & Remling, H. (2014). Convolution algebras for Heckman–Opdam polynomials derived from compact Grassmannians. Journal of Approximation Theory, 197, 30–48. https://doi.org/10.1016/j.jat.2014.07.005
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2013 | Journal Article | LibreCat-ID: 37672
Rösler, M., Koornwinder, T., & Voit, M. (2013). Limit transition between hypergeometric functions of type BC and type A. Compositio Mathematica, 149(8), 1381–1400. https://doi.org/10.1112/s0010437x13007045
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2013 | Journal Article | LibreCat-ID: 38038
Rösler, M., & Voit, M. (2013). Olshanski spherical functions for infinite dimensional motion groups of fixed rank. Journal of Lie Theory 23, 4, 899--920. https://doi.org/10.48550/ARXIV.1210.1351
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2011 | Journal Article | LibreCat-ID: 39911
Rösler, M., & Remling, H. (2011). The Heat Semigroup in the Compact Heckman-Opdam Setting and the Segal-Bargmann Transform. International Mathematics Research Notices, 18, 4200–4225. https://doi.org/10.1093/imrn/rnq239
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2011 | Journal Article | LibreCat-ID: 39921
Rösler, M., & Voit, M. (2011). Limit theorems for radial random walks on p × q-matrices as p tends to infinity. Mathematische Nachrichten, 284(1), 87–104. https://doi.org/10.1002/mana.200710235
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2010 | Journal Article | LibreCat-ID: 39924
Rösler, M. (2010). Positive convolution structure for a class of Heckman–Opdam hypergeometric functions of type BC. Journal of Functional Analysis, 258(8), 2779–2800. https://doi.org/10.1016/j.jfa.2009.12.007
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| DOI
2009 | Conference Paper | LibreCat-ID: 39950
Rösler, M. (2009). Convolution algebras for multivariable Bessel functions. Infinite Dimensional Harmonic Analysis IV, 255–271. https://doi.org/10.1142/9789812832825_0017
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