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57 Publications
2024 | Journal Article | LibreCat-ID: 53300
Brennecken, D. (2024). 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, 535(2), Article 128125. https://doi.org/10.1016/j.jmaa.2024.128125
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2024 | Journal Article | LibreCat-ID: 53542
Papageorgiou, E. (2024). Asymptotic behavior of solutions to the extension problem for the fractional Laplacian on noncompact symmetric spaces. Journal of Evolution Equations, 24(2), Article 34. https://doi.org/10.1007/s00028-024-00959-6
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2023 | Journal Article | LibreCat-ID: 53540
Papageorgiou, E. (2023). Large-Time Behavior of Two Families of Operators Related to the Fractional Laplacian on Certain Riemannian Manifolds. Potential Analysis. https://doi.org/10.1007/s11118-023-10109-1
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2023 | Journal Article | LibreCat-ID: 53539
Papageorgiou, E. (2023). Asymptotics for the infinite Brownian loop on noncompact symmetric spaces. Journal of Elliptic and Parabolic Equations. https://doi.org/10.1007/s41808-023-00250-8
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2023 | Journal Article | LibreCat-ID: 53538
Polychrou, G., Papageorgiou, E., Fotiadis, A., & Daskaloyannis, C. (2023). New examples of harmonic maps to the hyperbolic plane via Bäcklund transformation. Revista Matemática Complutense. https://doi.org/10.1007/s13163-023-00476-z
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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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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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2022 | Journal Article | LibreCat-ID: 40053
Graczyk, P., Luks, T., & Sawyer, P. (2022). Potential kernels for radial Dunkl Laplacians. Canadian Journal of Mathematics, 74(4), 1005–1033. https://doi.org/10.4153/s0008414x21000195
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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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2021 | Journal Article | LibreCat-ID: 36271
Brennecken, D., Hilgert, J., & Ciardo, L. (2021). Algebraically Independent Generators for the Algebra of Invariant Differential Operators on SLn(R)/SOn(R). Journal of Lie Theory, 31(2), 459--468. https://doi.org/10.48550/arXiv.2008.07479
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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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2020 | Journal Article | LibreCat-ID: 40051
Luks, T., & Xiao, Y. (2020). Multiple Points of Operator Semistable Lévy Processes. Journal of Theoretical Probability, 33(1), 153–179. https://doi.org/10.1007/s10959-018-0859-4
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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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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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2018 | Journal Article | LibreCat-ID: 40050
Baeumer, B., Luks, T., & Meerschaert, M. M. (2018). Space‐time fractional Dirichlet problems. Mathematische Nachrichten, 291(17–18), 2516–2535. https://doi.org/10.1002/mana.201700111
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2017 | Journal Article | LibreCat-ID: 40065
Luks, T., & Xiao, Y. (2017). On the Double Points of Operator Stable Lévy Processes. Journal of Theoretical Probability, 30(1), 297–325. https://doi.org/10.1007/s10959-015-0638-4
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2017 | Journal Article | LibreCat-ID: 40049
Graczyk, P., Luks, T., & Rösler, M. (2017). 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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2016 | Journal Article | LibreCat-ID: 40066
Bañuelos, R., Bogdan, K., & Luks, T. (2016). Hardy–Stein identities and square functions for semigroups. Journal of the London Mathematical Society, 94(2), 462–478. https://doi.org/10.1112/jlms/jdw042
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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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2014 | Journal Article | LibreCat-ID: 40068
Bogdan, K., Dyda, B., & Luks, T. (2014). On Hardy spaces of local and nonlocal operators. Hiroshima Mathematical Journal, 44(2), 193–215. https://doi.org/10.32917/hmj/1408972907
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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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2013 | Journal Article | LibreCat-ID: 40072
Luks, T. (2013). Boundary Behavior of α-Harmonic Functions on the Complement of the Sphere and Hyperplane. Potential Analysis, 39(1), 29–67. https://doi.org/10.1007/s11118-012-9321-x
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2013 | Journal Article | LibreCat-ID: 40070
Graczyk, P., Jakubowski, T., & Luks, T. (2013). Martin representation and Relative Fatou Theorem for fractional Laplacian with a gradient perturbation. Positivity, 17(4), 1043–1070. https://doi.org/10.1007/s11117-012-0220-6
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2011 | Journal Article | LibreCat-ID: 40073
Luks, T. (2011). Hardy spaces for the Laplacian with lower order perturbations. Studia Mathematica, 204(1), 39–62. https://doi.org/10.4064/sm204-1-3
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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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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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2008 | Journal Article | LibreCat-ID: 39941
Rösler, M., & Voit, M. (2008). A Limit Relation for Dunkl-Bessel Functions of Type A and B. Symmetry, Integrability and Geometry: Methods and Applications, 4(083), 9pp. https://doi.org/10.3842/sigma.2008.083
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2007 | Journal Article | LibreCat-ID: 39947
Rösler, M. (2007). Bessel convolutions on matrix cones. Compositio Mathematica, 143(03), 749–779. https://doi.org/10.1112/s0010437x06002594
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2006 | Journal Article | LibreCat-ID: 39948
Rösler, M., & Voit, M. (2006). SU(d)-Biinvariant Random Walks on SL(d,C) and their Euclidean Counterparts. Acta Applicandae Mathematicae, 90(1–2), 179–195. https://doi.org/10.1007/s10440-006-9035-4
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2005 | Journal Article | LibreCat-ID: 39951
Rösler, M., & Rauhut, H. (2005). Radial Multiresolution in Dimension Three. Constructive Approximation, 22(2), 193–218. https://doi.org/10.1007/s00365-004-0587-0
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2005 | Conference Paper | LibreCat-ID: 39949
Rösler, M., & VOIT, M. (2005). Deformations of convolution semigroups on commutative hypergroups. Infinite Dimensional Harmonic Analysis III, 249–264. https://doi.org/10.1142/9789812701503_0016
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2004 | Journal Article | LibreCat-ID: 40320
Rösler, M., & Voit, M. (2004). Positivity of Dunkl’s intertwining operator via the trigonometric setting. International Mathematics Research Notices, 63, 3379–3389. https://doi.org/10.48550/ARXIV.MATH/0405368
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2003 | Book Chapter | LibreCat-ID: 39956
Rösler, M. (2003). Dunkl Operators: Theory and Applications. In Lecture Notes in Mathematics (pp. 93–135). Springer Berlin Heidelberg. https://doi.org/10.1007/3-540-44945-0_3
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2003 | Journal Article | LibreCat-ID: 39957
Rösler, M. (2003). A positive radial product formula for the Dunkl kernel. Transactions of the American Mathematical Society, 355(6), 2413–2438. https://doi.org/10.48550/ARXIV.MATH/0210137
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2002 | Journal Article | LibreCat-ID: 39959
Rösler, M., & de Jeu, M. (2002). Asymptotic Analysis for the Dunkl Kernel. Journal of Approximation Theory, 119(1), 110–126. https://doi.org/10.1006/jath.2002.3722
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2000 | Conference Paper | LibreCat-ID: 40172
Rösler, M. (2000). Short-time estimates for heat kernels associated with root systems. Special Functions (HongKong 1999), 309–323. https://doi.org/10.1142/9789812792303_0024
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2000 | Conference Paper | LibreCat-ID: 40652
Rösler, M. (2000). One-parameter semigroups related to abstract quantum models of Calogero type. Infinite Dimensional Harmonic Analysis (Kyoto 1999), 290–305.
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1999 | Journal Article | LibreCat-ID: 40184
Rösler, M. (1999). An uncertainty principle for the Dunkl transform. Bulletin of the Australian Mathematical Society, 59(3), 353–360. https://doi.org/10.1017/s0004972700033025
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1999 | Journal Article | LibreCat-ID: 40189
Rösler, M. (1999). Positivity of Dunkl’s intertwining operator. Duke Mathematical Journal, 98(3), 445–463. https://doi.org/10.1215/s0012-7094-99-09813-7
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1999 | Journal Article | LibreCat-ID: 40192
Rösler, M., & Voit, M. (1999). Partial Characters and Signed Quotient Hypergroups. Canadian Journal of Mathematics, 51(1), 96–116. https://doi.org/10.4153/cjm-1999-006-6
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1999 | Journal Article | LibreCat-ID: 40666
Rösler, M. (1999). An uncertainty principle for Hankel transforms. Proceedings of the American Mathematical Society, 127(1), 183–194.
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1998 | Journal Article | LibreCat-ID: 40197
Rösler, M., & Voit, M. (1998). Biorthogonal polynomials associated with reflection groups and a formula of Macdonald. Journal of Computational and Applied Mathematics, 99(1–2), 337–351. https://doi.org/10.1016/s0377-0427(98)00168-x
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1998 | Journal Article | LibreCat-ID: 40200
Rösler, M., & Voit, M. (1998). Markov Processes Related with Dunkl Operators. Advances in Applied Mathematics, 21(4), 575–643. https://doi.org/10.1006/aama.1998.0609
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1997 | Journal Article | LibreCat-ID: 40205
Rösler, M., & Voit, M. (1997). An Uncertainty Principle for Ultraspherical Expansions. Journal of Mathematical Analysis and Applications, 209(2), 624–634. https://doi.org/10.1006/jmaa.1997.5386
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1995 | Conference Paper | LibreCat-ID: 40209
Rösler, M. (1995). Convolution algebras which are not necessarily positivity-preserving. Applications of Hypergroups and Related Measure Algebras, 183, 299–318. https://doi.org/10.1090/conm/183/02068
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1995 | Journal Article | LibreCat-ID: 40207
Rösler, M. (1995). Trigonometric convolution structures on Z derived from Jacobi polynomials. Journal of Computational and Applied Mathematics, 65(1–3), 357–368. https://doi.org/10.1016/0377-0427(95)00122-0
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1995 | Journal Article | LibreCat-ID: 40208
Rösler, M. (1995). On the dual of a commutative signed hypergroup. Manuscripta Mathematica, 88(1), 147–163. https://doi.org/10.1007/bf02567812
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1995 | Conference Paper | LibreCat-ID: 40655
Rösler, M. (1995). Bessel-type signed hypergroups on R. Probability Measures on Groups and Related Structures XI (Oberwolfach 1994), 292–304.
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1993 | Journal Article | LibreCat-ID: 40216
Lasser, R., & Rösler, M. (1993). A note on property (T) of orthogonal polynomials. Archiv Der Mathematik, 60(5), 459–463. https://doi.org/10.1007/bf01202312
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1991 | Journal Article | LibreCat-ID: 40218
Lasser, R., & Rösler, M. (1991). Linear mean estimation of weakly stationary stochastic processes under the aspects of optimality and asymptotic optimality. Stochastic Processes and Their Applications, 38(2), 279–293. https://doi.org/10.1016/0304-4149(91)90095-t
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1991 | Conference Paper | LibreCat-ID: 40656
Rösler, M. (1991). On optimal linear mean estimators for weakly stationary stochastic processes. Orthogonal Polynomials and Their Applications (Erice, 1990), 373–378.
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