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60 Publications
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: 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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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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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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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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