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57 Publications
2024 | Journal Article | LibreCat-ID: 53300
Brennecken D. 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. 2024;535(2). doi:10.1016/j.jmaa.2024.128125
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2024 | Journal Article | LibreCat-ID: 53542
Papageorgiou E. Asymptotic behavior of solutions to the extension problem for the fractional Laplacian on noncompact symmetric spaces. Journal of Evolution Equations. 2024;24(2). doi:10.1007/s00028-024-00959-6
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2023 | Journal Article | LibreCat-ID: 53540
Papageorgiou E. Large-Time Behavior of Two Families of Operators Related to the Fractional Laplacian on Certain Riemannian Manifolds. Potential Analysis. Published online 2023. doi:10.1007/s11118-023-10109-1
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2023 | Journal Article | LibreCat-ID: 53539
Papageorgiou E. Asymptotics for the infinite Brownian loop on noncompact symmetric spaces. Journal of Elliptic and Parabolic Equations. Published online 2023. doi:10.1007/s41808-023-00250-8
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2023 | Journal Article | LibreCat-ID: 53538
Polychrou G, Papageorgiou E, Fotiadis A, Daskaloyannis C. New examples of harmonic maps to the hyperbolic plane via Bäcklund transformation. Revista Matemática Complutense. Published online 2023. doi:10.1007/s13163-023-00476-z
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2023 | Journal Article | LibreCat-ID: 36294
Brennecken D, Rösler M. The Dunkl-Laplace transform and Macdonald’s hypergeometric series. Transactions of the American Mathematical Society. 2023;376(4):2419-2447. doi:10.1090/tran/8860
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2022 | Journal Article | LibreCat-ID: 38039
Rösler M, Voit M. Elementary symmetric polynomials and martingales for Heckman-Opdam processes. Contemporary Mathematics. 2022;(780):243-262. doi:10.48550/ARXIV.2108.03228
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2022 | Journal Article | LibreCat-ID: 40053
Graczyk P, Luks T, Sawyer P. Potential kernels for radial Dunkl Laplacians. Canadian Journal of Mathematics. 2022;74(4):1005-1033. doi:10.4153/s0008414x21000195
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2021 | Journal Article | LibreCat-ID: 37659
Rösler M, Voit M. Positive intertwiners for Bessel functions of type B. Proceedings of the American Mathematical Society. 2021;149(3):1151-1163. doi:10.1090/proc/15312
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2021 | Journal Article | LibreCat-ID: 36271
Brennecken D, Hilgert J, Ciardo L. Algebraically Independent Generators for the Algebra of Invariant Differential Operators on SLn(R)/SOn(R). Journal of Lie Theory. 2021;31(2):459--468. doi:10.48550/arXiv.2008.07479
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2020 | Journal Article | LibreCat-ID: 37660
Rösler M. Riesz distributions and Laplace transform in the Dunkl setting of type A. Journal of Functional Analysis. 2020;278(12). doi:10.1016/j.jfa.2020.108506
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2020 | Journal Article | LibreCat-ID: 40051
Luks T, Xiao Y. Multiple Points of Operator Semistable Lévy Processes. Journal of Theoretical Probability. 2020;33(1):153-179. doi:10.1007/s10959-018-0859-4
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2018 | Journal Article | LibreCat-ID: 37661
Rösler M, Voit M. Beta Distributions and Sonine Integrals for Bessel Functions on Symmetric Cones. Studies in Applied Mathematics. 2018;141(4):474-500. doi:10.1111/sapm.12217
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2018 | Journal Article | LibreCat-ID: 37662
Rösler M, Graczyk P, Luks T. On the Green Function and Poisson Integrals of the Dunkl Laplacian. Potential Analysis. 2018;48(3):337-360. doi:10.1007/s11118-017-9638-6
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2018 | Journal Article | LibreCat-ID: 40050
Baeumer B, Luks T, Meerschaert MM. Space‐time fractional Dirichlet problems. Mathematische Nachrichten. 2018;291(17-18):2516-2535. doi:10.1002/mana.201700111
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2017 | Journal Article | LibreCat-ID: 40065
Luks T, Xiao Y. On the Double Points of Operator Stable Lévy Processes. Journal of Theoretical Probability. 2017;30(1):297-325. doi:10.1007/s10959-015-0638-4
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2017 | Journal Article | LibreCat-ID: 40049
Graczyk P, Luks T, Rösler M. On the Green Function and Poisson Integrals of the Dunkl Laplacian. Potential Analysis. 2017;48(3):337-360. doi:10.1007/s11118-017-9638-6
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2016 | Journal Article | LibreCat-ID: 38032
Rösler M, Voit M. Integral representation and sharp asymptotic results for some Heckman-Opdam hypergeometric functions of type BC. Transactions of the American Mathematical Society. 2016;368(8):6005-6032. doi:10.48550/ARXIV.1402.5793
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2016 | Journal Article | LibreCat-ID: 37663
Rösler M, Voit M. A multivariate version of the disk convolution. Journal of Mathematical Analysis and Applications. 2016;435(1):701-717. doi:10.1016/j.jmaa.2015.10.062
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2016 | Journal Article | LibreCat-ID: 40066
Bañuelos R, Bogdan K, Luks T. Hardy–Stein identities and square functions for semigroups. Journal of the London Mathematical Society. 2016;94(2):462-478. doi:10.1112/jlms/jdw042
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2015 | Journal Article | LibreCat-ID: 38037
Rösler M, Voit M. A Central Limit Theorem for Random Walks on the Dual of a Compact Grassmannian. Symmetry, Integrability and Geometry: Methods and Applications. 2015;11(013):18pp. doi:10.3842/sigma.2015.013
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2014 | Journal Article | LibreCat-ID: 37667
Rösler M, Remling H. Convolution algebras for Heckman–Opdam polynomials derived from compact Grassmannians. Journal of Approximation Theory. 2014;197:30-48. doi:10.1016/j.jat.2014.07.005
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2014 | Journal Article | LibreCat-ID: 40068
Bogdan K, Dyda B, Luks T. On Hardy spaces of local and nonlocal operators. Hiroshima Mathematical Journal. 2014;44(2):193-215. doi:10.32917/hmj/1408972907
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2013 | Journal Article | LibreCat-ID: 37672
Rösler M, Koornwinder T, Voit M. Limit transition between hypergeometric functions of type BC and type A. Compositio Mathematica. 2013;149(8):1381-1400. doi:10.1112/s0010437x13007045
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2013 | Journal Article | LibreCat-ID: 38038
Rösler M, Voit M. Olshanski spherical functions for infinite dimensional motion groups of fixed rank. Journal of Lie Theory 23. 2013;(4):899--920. doi:10.48550/ARXIV.1210.1351
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2013 | Journal Article | LibreCat-ID: 40072
Luks T. Boundary Behavior of α-Harmonic Functions on the Complement of the Sphere and Hyperplane. Potential Analysis. 2013;39(1):29-67. doi:10.1007/s11118-012-9321-x
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2013 | Journal Article | LibreCat-ID: 40070
Graczyk P, Jakubowski T, Luks T. Martin representation and Relative Fatou Theorem for fractional Laplacian with a gradient perturbation. Positivity. 2013;17(4):1043-1070. doi:10.1007/s11117-012-0220-6
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2011 | Journal Article | LibreCat-ID: 40073
Luks T. Hardy spaces for the Laplacian with lower order perturbations. Studia Mathematica. 2011;204(1):39-62. doi:10.4064/sm204-1-3
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2011 | Journal Article | LibreCat-ID: 39911
Rösler M, Remling H. The Heat Semigroup in the Compact Heckman-Opdam Setting and the Segal-Bargmann Transform. International Mathematics Research Notices. 2011;(18):4200–4225. doi:10.1093/imrn/rnq239
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2011 | Journal Article | LibreCat-ID: 39921
Rösler M, Voit M. Limit theorems for radial random walks on p × q-matrices as p tends to infinity. Mathematische Nachrichten. 2011;284(1):87-104. doi:10.1002/mana.200710235
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2010 | Journal Article | LibreCat-ID: 39924
Rösler M. Positive convolution structure for a class of Heckman–Opdam hypergeometric functions of type BC. Journal of Functional Analysis. 2010;258(8):2779-2800. doi:10.1016/j.jfa.2009.12.007
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2009 | Conference Paper | LibreCat-ID: 39950
Rösler M. Convolution algebras for multivariable Bessel functions. In: Infinite Dimensional Harmonic Analysis IV. World Scientific; 2009:255–271. doi:10.1142/9789812832825_0017
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2008 | Journal Article | LibreCat-ID: 39941
Rösler M, Voit M. A Limit Relation for Dunkl-Bessel Functions of Type A and B. Symmetry, Integrability and Geometry: Methods and Applications. 2008;4(083):9pp. doi:10.3842/sigma.2008.083
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2007 | Journal Article | LibreCat-ID: 39947
Rösler M. Bessel convolutions on matrix cones. Compositio Mathematica. 2007;143(03):749-779. doi:10.1112/s0010437x06002594
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2006 | Journal Article | LibreCat-ID: 39948
Rösler M, Voit M. SU(d)-Biinvariant Random Walks on SL(d,C) and their Euclidean Counterparts. Acta Applicandae Mathematicae. 2006;90(1-2):179-195. doi:10.1007/s10440-006-9035-4
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2005 | Journal Article | LibreCat-ID: 39951
Rösler M, Rauhut H. Radial Multiresolution in Dimension Three. Constructive Approximation. 2005;22(2):193-218. doi:10.1007/s00365-004-0587-0
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2005 | Conference Paper | LibreCat-ID: 39949
Rösler M, VOIT M. Deformations of convolution semigroups on commutative hypergroups. In: Infinite Dimensional Harmonic Analysis III. World Scientific Publ.; 2005:249–264. doi:10.1142/9789812701503_0016
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2004 | Journal Article | LibreCat-ID: 40320
Rösler M, Voit M. Positivity of Dunkl’s intertwining operator via the trigonometric setting. International Mathematics Research Notices. 2004;(63):3379–3389. doi:10.48550/ARXIV.MATH/0405368
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2003 | Book Chapter | LibreCat-ID: 39956
Rösler M. Dunkl Operators: Theory and Applications. In: Lecture Notes in Mathematics. Springer Berlin Heidelberg; 2003:93–135. doi:10.1007/3-540-44945-0_3
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2003 | Journal Article | LibreCat-ID: 39957
Rösler M. A positive radial product formula for the Dunkl kernel. Transactions of the American Mathematical Society. 2003;355(6):2413–2438. doi:10.48550/ARXIV.MATH/0210137
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2002 | Journal Article | LibreCat-ID: 39959
Rösler M, de Jeu M. Asymptotic Analysis for the Dunkl Kernel. Journal of Approximation Theory. 2002;119(1):110-126. doi:10.1006/jath.2002.3722
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2000 | Conference Paper | LibreCat-ID: 40172
Rösler M. Short-time estimates for heat kernels associated with root systems. In: Special Functions (HongKong 1999). World Scientific; 2000:309-323. doi:10.1142/9789812792303_0024
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2000 | Conference Paper | LibreCat-ID: 40652
Rösler M. One-parameter semigroups related to abstract quantum models of Calogero type. In: Infinite Dimensional Harmonic Analysis (Kyoto 1999). Gräbner-Verlag; 2000:290-305.
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1999 | Journal Article | LibreCat-ID: 40184
Rösler M. An uncertainty principle for the Dunkl transform. Bulletin of the Australian Mathematical Society. 1999;59(3):353-360. doi:10.1017/s0004972700033025
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1999 | Journal Article | LibreCat-ID: 40189
Rösler M. Positivity of Dunkl’s intertwining operator. Duke Mathematical Journal. 1999;98(3):445-463. doi:10.1215/s0012-7094-99-09813-7
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1999 | Journal Article | LibreCat-ID: 40192
Rösler M, Voit M. Partial Characters and Signed Quotient Hypergroups. Canadian Journal of Mathematics. 1999;51(1):96-116. doi:10.4153/cjm-1999-006-6
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1999 | Journal Article | LibreCat-ID: 40666
Rösler M. An uncertainty principle for Hankel transforms. Proceedings of the American Mathematical Society. 1999;127(1):183–194.
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1998 | Journal Article | LibreCat-ID: 40197
Rösler M, Voit M. Biorthogonal polynomials associated with reflection groups and a formula of Macdonald. Journal of Computational and Applied Mathematics. 1998;99(1-2):337-351. doi:10.1016/s0377-0427(98)00168-x
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1998 | Journal Article | LibreCat-ID: 40200
Rösler M, Voit M. Markov Processes Related with Dunkl Operators. Advances in Applied Mathematics. 1998;21(4):575-643. doi:10.1006/aama.1998.0609
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1997 | Journal Article | LibreCat-ID: 40205
Rösler M, Voit M. An Uncertainty Principle for Ultraspherical Expansions. Journal of Mathematical Analysis and Applications. 1997;209(2):624-634. doi:10.1006/jmaa.1997.5386
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