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43 Publications


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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2006 | Journal Article | LibreCat-ID: 39948
M. Rösler and M. Voit, “SU(d)-Biinvariant Random Walks on SL(d,C) and their Euclidean Counterparts,” Acta Applicandae Mathematicae, vol. 90, no. 1–2, pp. 179–195, 2006, doi: 10.1007/s10440-006-9035-4.
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2005 | Journal Article | LibreCat-ID: 39951
M. Rösler and H. Rauhut, “Radial Multiresolution in Dimension Three,” Constructive Approximation, vol. 22, no. 2, pp. 193–218, 2005, doi: 10.1007/s00365-004-0587-0.
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2005 | Conference Paper | LibreCat-ID: 39949
M. Rösler and M. VOIT, “Deformations of convolution semigroups on commutative hypergroups,” in Infinite Dimensional Harmonic Analysis III, 2005, pp. 249–264, doi: 10.1142/9789812701503_0016.
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2004 | Journal Article | LibreCat-ID: 40320
M. Rösler and M. Voit, “Positivity of Dunkl’s intertwining operator via the trigonometric setting,” International Mathematics Research Notices, no. 63, pp. 3379–3389, 2004, doi: 10.48550/ARXIV.MATH/0405368.
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2003 | Book Chapter | LibreCat-ID: 39956
M. Rösler, “Dunkl Operators: Theory and Applications,” in Lecture Notes in Mathematics, Berlin, Heidelberg: Springer Berlin Heidelberg, 2003, pp. 93–135.
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2003 | Journal Article | LibreCat-ID: 39957
M. Rösler, “A positive radial product formula for the Dunkl kernel,” Transactions of the American Mathematical Society, vol. 355, no. 6, pp. 2413–2438, 2003, doi: 10.48550/ARXIV.MATH/0210137.
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2002 | Journal Article | LibreCat-ID: 39959
M. Rösler and M. de Jeu, “Asymptotic Analysis for the Dunkl Kernel,” Journal of Approximation Theory, vol. 119, no. 1, pp. 110–126, 2002, doi: 10.1006/jath.2002.3722.
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2000 | Conference Paper | LibreCat-ID: 40172
M. Rösler, “Short-time estimates for heat kernels associated with root systems,” in Special Functions (HongKong 1999), 2000, pp. 309–323, doi: 10.1142/9789812792303_0024.
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2000 | Conference Paper | LibreCat-ID: 40652
M. Rösler, “One-parameter semigroups related to abstract quantum models of Calogero type,” in Infinite dimensional harmonic analysis (Kyoto 1999), 2000, pp. 290–305.
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1999 | Journal Article | LibreCat-ID: 40184
M. Rösler, “An uncertainty principle for the Dunkl transform,” Bulletin of the Australian Mathematical Society, vol. 59, no. 3, pp. 353–360, 1999, doi: 10.1017/s0004972700033025.
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