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57 Publications
2024 | Journal Article | LibreCat-ID: 53300
Brennecken, Dominik. “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, no. 2 (2024). https://doi.org/10.1016/j.jmaa.2024.128125.
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2024 | Journal Article | LibreCat-ID: 53542
Papageorgiou, Efthymia. “Asymptotic Behavior of Solutions to the Extension Problem for the Fractional Laplacian on Noncompact Symmetric Spaces.” Journal of Evolution Equations 24, no. 2 (2024). https://doi.org/10.1007/s00028-024-00959-6.
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2023 | Journal Article | LibreCat-ID: 53540
Papageorgiou, Efthymia. “Large-Time Behavior of Two Families of Operators Related to the Fractional Laplacian on Certain Riemannian Manifolds.” Potential Analysis, 2023. https://doi.org/10.1007/s11118-023-10109-1.
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2023 | Journal Article | LibreCat-ID: 53539
Papageorgiou, Efthymia. “Asymptotics for the Infinite Brownian Loop on Noncompact Symmetric Spaces.” Journal of Elliptic and Parabolic Equations, 2023. https://doi.org/10.1007/s41808-023-00250-8.
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2023 | Journal Article | LibreCat-ID: 53538
Polychrou, G., Efthymia Papageorgiou, A. Fotiadis, and C. Daskaloyannis. “New Examples of Harmonic Maps to the Hyperbolic Plane via Bäcklund Transformation.” Revista Matemática Complutense, 2023. https://doi.org/10.1007/s13163-023-00476-z.
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2023 | Journal Article | LibreCat-ID: 36294
Brennecken, Dominik, and Margit Rösler. “The Dunkl-Laplace Transform and Macdonald’s Hypergeometric Series.” Transactions of the American Mathematical Society 376, no. 4 (2023): 2419–47. https://doi.org/10.1090/tran/8860.
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2022 | Journal Article | LibreCat-ID: 38039
Rösler, Margit, and Michael Voit. “Elementary Symmetric Polynomials and Martingales for Heckman-Opdam Processes.” Contemporary Mathematics, no. 780 (2022): 243–62. https://doi.org/10.48550/ARXIV.2108.03228.
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2022 | Journal Article | LibreCat-ID: 40053
Graczyk, P., Tomasz Luks, and P. Sawyer. “Potential Kernels for Radial Dunkl Laplacians.” Canadian Journal of Mathematics 74, no. 4 (2022): 1005–33. https://doi.org/10.4153/s0008414x21000195.
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2021 | Journal Article | LibreCat-ID: 37659
Rösler, Margit, and Michael Voit. “Positive Intertwiners for Bessel Functions of Type B.” Proceedings of the American Mathematical Society 149, no. 3 (2021): 1151–63. https://doi.org/10.1090/proc/15312.
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2021 | Journal Article | LibreCat-ID: 36271
Brennecken, Dominik, Joachim Hilgert, and Lorenzo Ciardo. “Algebraically Independent Generators for the Algebra of Invariant Differential Operators on SLn(R)/SOn(R).” Journal of Lie Theory 31, no. 2 (2021): 459--468. https://doi.org/10.48550/arXiv.2008.07479.
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2020 | Journal Article | LibreCat-ID: 37660
Rösler, Margit. “Riesz Distributions and Laplace Transform in the Dunkl Setting of Type A.” Journal of Functional Analysis 278, no. 12 (2020). https://doi.org/10.1016/j.jfa.2020.108506.
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2020 | Journal Article | LibreCat-ID: 40051
Luks, Tomasz, and Yimin Xiao. “Multiple Points of Operator Semistable Lévy Processes.” Journal of Theoretical Probability 33, no. 1 (2020): 153–79. https://doi.org/10.1007/s10959-018-0859-4.
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2018 | Journal Article | LibreCat-ID: 37661
Rösler, Margit, and Michael Voit. “Beta Distributions and Sonine Integrals for Bessel Functions on Symmetric Cones.” Studies in Applied Mathematics 141, no. 4 (2018): 474–500. https://doi.org/10.1111/sapm.12217.
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2018 | Journal Article | LibreCat-ID: 37662
Rösler, Margit, Piotr Graczyk, and Tomasz Luks. “On the Green Function and Poisson Integrals of the Dunkl Laplacian.” Potential Analysis 48, no. 3 (2018): 337–60. https://doi.org/10.1007/s11118-017-9638-6.
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2018 | Journal Article | LibreCat-ID: 40050
Baeumer, Boris, Tomasz Luks, and Mark M. Meerschaert. “Space‐time Fractional Dirichlet Problems.” Mathematische Nachrichten 291, no. 17–18 (2018): 2516–35. https://doi.org/10.1002/mana.201700111.
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2017 | Journal Article | LibreCat-ID: 40065
Luks, Tomasz, and Yimin Xiao. “On the Double Points of Operator Stable Lévy Processes.” Journal of Theoretical Probability 30, no. 1 (2017): 297–325. https://doi.org/10.1007/s10959-015-0638-4.
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2017 | Journal Article | LibreCat-ID: 40049
Graczyk, Piotr, Tomasz Luks, and Margit Rösler. “On the Green Function and Poisson Integrals of the Dunkl Laplacian.” Potential Analysis 48, no. 3 (2017): 337–60. https://doi.org/10.1007/s11118-017-9638-6.
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2016 | Journal Article | LibreCat-ID: 38032
Rösler, Margit, and Michael Voit. “Integral Representation and Sharp Asymptotic Results for Some Heckman-Opdam Hypergeometric Functions of Type BC.” Transactions of the American Mathematical Society 368, no. 8 (2016): 6005–32. https://doi.org/10.48550/ARXIV.1402.5793.
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2016 | Journal Article | LibreCat-ID: 37663
Rösler, Margit, and Michael Voit. “A Multivariate Version of the Disk Convolution.” Journal of Mathematical Analysis and Applications 435, no. 1 (2016): 701–17. https://doi.org/10.1016/j.jmaa.2015.10.062.
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2016 | Journal Article | LibreCat-ID: 40066
Bañuelos, Rodrigo, Krzysztof Bogdan, and Tomasz Luks. “Hardy–Stein Identities and Square Functions for Semigroups.” Journal of the London Mathematical Society 94, no. 2 (2016): 462–78. https://doi.org/10.1112/jlms/jdw042.
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2015 | Journal Article | LibreCat-ID: 38037
Rösler, Margit, and Michael Voit. “A Central Limit Theorem for Random Walks on the Dual of a Compact Grassmannian.” Symmetry, Integrability and Geometry: Methods and Applications 11, no. 013 (2015): 18pp. https://doi.org/10.3842/sigma.2015.013.
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2014 | Journal Article | LibreCat-ID: 37667
Rösler, Margit, and Heiko Remling. “Convolution Algebras for Heckman–Opdam Polynomials Derived from Compact Grassmannians.” Journal of Approximation Theory 197 (2014): 30–48. https://doi.org/10.1016/j.jat.2014.07.005.
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2014 | Journal Article | LibreCat-ID: 40068
Bogdan, Krzysztof, Bartłomiej Dyda, and Tomasz Luks. “On Hardy Spaces of Local and Nonlocal Operators.” Hiroshima Mathematical Journal 44, no. 2 (2014): 193–215. https://doi.org/10.32917/hmj/1408972907.
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2013 | Journal Article | LibreCat-ID: 37672
Rösler, Margit, Tom Koornwinder, and Michael Voit. “Limit Transition between Hypergeometric Functions of Type BC and Type A.” Compositio Mathematica 149, no. 8 (2013): 1381–1400. https://doi.org/10.1112/s0010437x13007045.
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2013 | Journal Article | LibreCat-ID: 38038
Rösler, Margit, and Michael Voit. “Olshanski Spherical Functions for Infinite Dimensional Motion Groups of Fixed Rank.” Journal of Lie Theory 23, no. 4 (2013): 899--920. https://doi.org/10.48550/ARXIV.1210.1351.
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2013 | Journal Article | LibreCat-ID: 40072
Luks, Tomasz. “Boundary Behavior of α-Harmonic Functions on the Complement of the Sphere and Hyperplane.” Potential Analysis 39, no. 1 (2013): 29–67. https://doi.org/10.1007/s11118-012-9321-x.
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2013 | Journal Article | LibreCat-ID: 40070
Graczyk, Piotr, Tomasz Jakubowski, and Tomasz Luks. “Martin Representation and Relative Fatou Theorem for Fractional Laplacian with a Gradient Perturbation.” Positivity 17, no. 4 (2013): 1043–70. https://doi.org/10.1007/s11117-012-0220-6.
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2011 | Journal Article | LibreCat-ID: 40073
Luks, Tomasz. “Hardy Spaces for the Laplacian with Lower Order Perturbations.” Studia Mathematica 204, no. 1 (2011): 39–62. https://doi.org/10.4064/sm204-1-3.
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2011 | Journal Article | LibreCat-ID: 39911
Rösler, Margit, and H. Remling. “The Heat Semigroup in the Compact Heckman-Opdam Setting and the Segal-Bargmann Transform.” International Mathematics Research Notices, no. 18 (2011): 4200–4225. https://doi.org/10.1093/imrn/rnq239.
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2011 | Journal Article | LibreCat-ID: 39921
Rösler, Margit, and Michael Voit. “Limit Theorems for Radial Random Walks on p × Q-Matrices as p Tends to Infinity.” Mathematische Nachrichten 284, no. 1 (2011): 87–104. https://doi.org/10.1002/mana.200710235.
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2010 | Journal Article | LibreCat-ID: 39924
Rösler, Margit. “Positive Convolution Structure for a Class of Heckman–Opdam Hypergeometric Functions of Type BC.” Journal of Functional Analysis 258, no. 8 (2010): 2779–2800. https://doi.org/10.1016/j.jfa.2009.12.007.
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2009 | Conference Paper | LibreCat-ID: 39950
Rösler, Margit. “Convolution Algebras for Multivariable Bessel Functions.” In Infinite Dimensional Harmonic Analysis IV, 255–271. World Scientific, 2009. https://doi.org/10.1142/9789812832825_0017.
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2008 | Journal Article | LibreCat-ID: 39941
Rösler, Margit, and Michael Voit. “A Limit Relation for Dunkl-Bessel Functions of Type A and B.” Symmetry, Integrability and Geometry: Methods and Applications 4, no. 083 (2008): 9pp. https://doi.org/10.3842/sigma.2008.083.
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2007 | Journal Article | LibreCat-ID: 39947
Rösler, Margit. “Bessel Convolutions on Matrix Cones.” Compositio Mathematica 143, no. 03 (2007): 749–79. https://doi.org/10.1112/s0010437x06002594.
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2006 | Journal Article | LibreCat-ID: 39948
Rösler, Margit, and Michael Voit. “SU(d)-Biinvariant Random Walks on SL(d,C) and Their Euclidean Counterparts.” Acta Applicandae Mathematicae 90, no. 1–2 (2006): 179–95. https://doi.org/10.1007/s10440-006-9035-4.
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2005 | Journal Article | LibreCat-ID: 39951
Rösler, Margit, and Holger Rauhut. “Radial Multiresolution in Dimension Three.” Constructive Approximation 22, no. 2 (2005): 193–218. https://doi.org/10.1007/s00365-004-0587-0.
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2005 | Conference Paper | LibreCat-ID: 39949
Rösler, Margit, and MICHAEL VOIT. “Deformations of Convolution Semigroups on Commutative Hypergroups.” In Infinite Dimensional Harmonic Analysis III, 249–264. World Scientific Publ., 2005. https://doi.org/10.1142/9789812701503_0016.
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2004 | Journal Article | LibreCat-ID: 40320
Rösler, Margit, and Michael Voit. “Positivity of Dunkl’s Intertwining Operator via the Trigonometric Setting.” International Mathematics Research Notices, no. 63 (2004): 3379–3389. https://doi.org/10.48550/ARXIV.MATH/0405368.
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2003 | Book Chapter | LibreCat-ID: 39956
Rösler, Margit. “Dunkl Operators: Theory and Applications.” In Lecture Notes in Mathematics, 93–135. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. https://doi.org/10.1007/3-540-44945-0_3.
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2003 | Journal Article | LibreCat-ID: 39957
Rösler, Margit. “A Positive Radial Product Formula for the Dunkl Kernel.” Transactions of the American Mathematical Society 355, no. 6 (2003): 2413–2438. https://doi.org/10.48550/ARXIV.MATH/0210137.
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2002 | Journal Article | LibreCat-ID: 39959
Rösler, Margit, and Marcel de Jeu. “Asymptotic Analysis for the Dunkl Kernel.” Journal of Approximation Theory 119, no. 1 (2002): 110–26. https://doi.org/10.1006/jath.2002.3722.
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2000 | Conference Paper | LibreCat-ID: 40172
Rösler, Margit. “Short-Time Estimates for Heat Kernels Associated with Root Systems.” In Special Functions (HongKong 1999), 309–23. World Scientific, 2000. https://doi.org/10.1142/9789812792303_0024.
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2000 | Conference Paper | LibreCat-ID: 40652
Rösler, Margit. “One-Parameter Semigroups Related to Abstract Quantum Models of Calogero Type.” In Infinite Dimensional Harmonic Analysis (Kyoto 1999), 290–305. Gräbner-Verlag, 2000.
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1999 | Journal Article | LibreCat-ID: 40184
Rösler, Margit. “An Uncertainty Principle for the Dunkl Transform.” Bulletin of the Australian Mathematical Society 59, no. 3 (1999): 353–60. https://doi.org/10.1017/s0004972700033025.
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1999 | Journal Article | LibreCat-ID: 40189
Rösler, Margit. “Positivity of Dunkl’s Intertwining Operator.” Duke Mathematical Journal 98, no. 3 (1999): 445–63. https://doi.org/10.1215/s0012-7094-99-09813-7.
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1999 | Journal Article | LibreCat-ID: 40192
Rösler, Margit, and Michael Voit. “Partial Characters and Signed Quotient Hypergroups.” Canadian Journal of Mathematics 51, no. 1 (1999): 96–116. https://doi.org/10.4153/cjm-1999-006-6.
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1999 | Journal Article | LibreCat-ID: 40666
Rösler, Margit. “An Uncertainty Principle for Hankel Transforms.” Proceedings of the American Mathematical Society 127, no. 1 (1999): 183–194.
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1998 | Journal Article | LibreCat-ID: 40197
Rösler, Margit, and Michael Voit. “Biorthogonal Polynomials Associated with Reflection Groups and a Formula of Macdonald.” Journal of Computational and Applied Mathematics 99, no. 1–2 (1998): 337–51. https://doi.org/10.1016/s0377-0427(98)00168-x.
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1998 | Journal Article | LibreCat-ID: 40200
Rösler, Margit, and Michael Voit. “Markov Processes Related with Dunkl Operators.” Advances in Applied Mathematics 21, no. 4 (1998): 575–643. https://doi.org/10.1006/aama.1998.0609.
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1997 | Journal Article | LibreCat-ID: 40205
Rösler, Margit, and Michael Voit. “An Uncertainty Principle for Ultraspherical Expansions.” Journal of Mathematical Analysis and Applications 209, no. 2 (1997): 624–34. https://doi.org/10.1006/jmaa.1997.5386.
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