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57 Publications
2024 | Journal Article | LibreCat-ID: 53300
D. Brennecken, “Hankel transform, <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:mi mathvariant="script">K</mml:mi></mml:math>-Bessel functions and zeta distributions in the Dunkl setting,” Journal of Mathematical Analysis and Applications, vol. 535, no. 2, Art. no. 128125, 2024, doi: 10.1016/j.jmaa.2024.128125.
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2024 | Journal Article | LibreCat-ID: 53542
E. Papageorgiou, “Asymptotic behavior of solutions to the extension problem for the fractional Laplacian on noncompact symmetric spaces,” Journal of Evolution Equations, vol. 24, no. 2, Art. no. 34, 2024, doi: 10.1007/s00028-024-00959-6.
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2023 | Journal Article | LibreCat-ID: 53540
E. Papageorgiou, “Large-Time Behavior of Two Families of Operators Related to the Fractional Laplacian on Certain Riemannian Manifolds,” Potential Analysis, 2023, doi: 10.1007/s11118-023-10109-1.
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2023 | Journal Article | LibreCat-ID: 53539
E. Papageorgiou, “Asymptotics for the infinite Brownian loop on noncompact symmetric spaces,” Journal of Elliptic and Parabolic Equations, 2023, doi: 10.1007/s41808-023-00250-8.
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2023 | Journal Article | LibreCat-ID: 53538
G. Polychrou, E. Papageorgiou, A. Fotiadis, and C. Daskaloyannis, “New examples of harmonic maps to the hyperbolic plane via Bäcklund transformation,” Revista Matemática Complutense, 2023, doi: 10.1007/s13163-023-00476-z.
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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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2022 | Journal Article | LibreCat-ID: 40053
P. Graczyk, T. Luks, and P. Sawyer, “Potential kernels for radial Dunkl Laplacians,” Canadian Journal of Mathematics, vol. 74, no. 4, pp. 1005–1033, 2022, doi: 10.4153/s0008414x21000195.
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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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2021 | Journal Article | LibreCat-ID: 36271
D. Brennecken, J. Hilgert, and L. Ciardo, “Algebraically Independent Generators for the Algebra of Invariant Differential Operators on SLn(R)/SOn(R),” Journal of Lie Theory, vol. 31, no. 2, pp. 459--468, 2021, doi: 10.48550/arXiv.2008.07479.
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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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2020 | Journal Article | LibreCat-ID: 40051
T. Luks and Y. Xiao, “Multiple Points of Operator Semistable Lévy Processes,” Journal of Theoretical Probability, vol. 33, no. 1, pp. 153–179, 2020, doi: 10.1007/s10959-018-0859-4.
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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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2018 | Journal Article | LibreCat-ID: 40050
B. Baeumer, T. Luks, and M. M. Meerschaert, “Space‐time fractional Dirichlet problems,” Mathematische Nachrichten, vol. 291, no. 17–18, pp. 2516–2535, 2018, doi: 10.1002/mana.201700111.
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2017 | Journal Article | LibreCat-ID: 40065
T. Luks and Y. Xiao, “On the Double Points of Operator Stable Lévy Processes,” Journal of Theoretical Probability, vol. 30, no. 1, pp. 297–325, 2017, doi: 10.1007/s10959-015-0638-4.
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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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2016 | Journal Article | LibreCat-ID: 40066
R. Bañuelos, K. Bogdan, and T. Luks, “Hardy–Stein identities and square functions for semigroups,” Journal of the London Mathematical Society, vol. 94, no. 2, pp. 462–478, 2016, doi: 10.1112/jlms/jdw042.
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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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2014 | Journal Article | LibreCat-ID: 40068
K. Bogdan, B. Dyda, and T. Luks, “On Hardy spaces of local and nonlocal operators,” Hiroshima Mathematical Journal, vol. 44, no. 2, pp. 193–215, 2014, doi: 10.32917/hmj/1408972907.
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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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2013 | Journal Article | LibreCat-ID: 40072
T. Luks, “Boundary Behavior of α-Harmonic Functions on the Complement of the Sphere and Hyperplane,” Potential Analysis, vol. 39, no. 1, pp. 29–67, 2013, doi: 10.1007/s11118-012-9321-x.
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2013 | Journal Article | LibreCat-ID: 40070
P. Graczyk, T. Jakubowski, and T. Luks, “Martin representation and Relative Fatou Theorem for fractional Laplacian with a gradient perturbation,” Positivity, vol. 17, no. 4, pp. 1043–1070, 2013, doi: 10.1007/s11117-012-0220-6.
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2011 | Journal Article | LibreCat-ID: 40073
T. Luks, “Hardy spaces for the Laplacian with lower order perturbations,” Studia Mathematica, vol. 204, no. 1, pp. 39–62, 2011, doi: 10.4064/sm204-1-3.
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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 | 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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1999 | Journal Article | LibreCat-ID: 40189
M. Rösler, “Positivity of Dunkl’s intertwining operator,” Duke Mathematical Journal, vol. 98, no. 3, pp. 445–463, 1999, doi: 10.1215/s0012-7094-99-09813-7.
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1999 | Journal Article | LibreCat-ID: 40192
M. Rösler and M. Voit, “Partial Characters and Signed Quotient Hypergroups,” Canadian Journal of Mathematics, vol. 51, no. 1, pp. 96–116, 1999, doi: 10.4153/cjm-1999-006-6.
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1999 | Journal Article | LibreCat-ID: 40666
M. Rösler, “An uncertainty principle for Hankel transforms,” Proceedings of the American Mathematical Society, vol. 127, no. 1, pp. 183–194, 1999.
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1998 | Journal Article | LibreCat-ID: 40197
M. Rösler and M. Voit, “Biorthogonal polynomials associated with reflection groups and a formula of Macdonald,” Journal of Computational and Applied Mathematics, vol. 99, no. 1–2, pp. 337–351, 1998, doi: 10.1016/s0377-0427(98)00168-x.
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1998 | Journal Article | LibreCat-ID: 40200
M. Rösler and M. Voit, “Markov Processes Related with Dunkl Operators,” Advances in Applied Mathematics, vol. 21, no. 4, pp. 575–643, 1998, doi: 10.1006/aama.1998.0609.
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1997 | Journal Article | LibreCat-ID: 40205
M. Rösler and M. Voit, “An Uncertainty Principle for Ultraspherical Expansions,” Journal of Mathematical Analysis and Applications, vol. 209, no. 2, pp. 624–634, 1997, doi: 10.1006/jmaa.1997.5386.
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