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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, vol. 535, no. 2, 128125, Elsevier BV, 2024, doi: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, vol. 24, no. 2, 34, Springer Science and Business Media LLC, 2024, doi: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, Springer Science and Business Media LLC, 2023, doi: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, Springer Science and Business Media LLC, 2023, doi:10.1007/s41808-023-00250-8.
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2023 | Journal Article | LibreCat-ID: 53538
Polychrou, G., et al. “New Examples of Harmonic Maps to the Hyperbolic Plane via Bäcklund Transformation.” Revista Matemática Complutense, Springer Science and Business Media LLC, 2023, doi: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, vol. 376, no. 4, American Mathematical Society, 2023, pp. 2419–47, doi: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, pp. 243–62, doi:10.48550/ARXIV.2108.03228.
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2022 | Journal Article | LibreCat-ID: 40053
Graczyk, P., et al. “Potential Kernels for Radial Dunkl Laplacians.” Canadian Journal of Mathematics, vol. 74, no. 4, Canadian Mathematical Society, 2022, pp. 1005–33, doi: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, vol. 149, no. 3, American Mathematical Society (AMS), 2021, pp. 1151–63, doi:10.1090/proc/15312.
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2021 | Journal Article | LibreCat-ID: 36271
Brennecken, Dominik, et al. “Algebraically Independent Generators for the Algebra of Invariant Differential Operators on SLn(R)/SOn(R).” Journal of Lie Theory, vol. 31, no. 2, Heldermann Verlag, 2021, pp. 459--468, doi: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, vol. 278, no. 12, 108506, Elsevier BV, 2020, doi: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, vol. 33, no. 1, Springer Science and Business Media LLC, 2020, pp. 153–79, doi: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, vol. 141, no. 4, Wiley, 2018, pp. 474–500, doi:10.1111/sapm.12217.
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2018 | Journal Article | LibreCat-ID: 37662
Rösler, Margit, et al. “On the Green Function and Poisson Integrals of the Dunkl Laplacian.” Potential Analysis, vol. 48, no. 3, Springer Science and Business Media LLC, 2018, pp. 337–60, doi:10.1007/s11118-017-9638-6.
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2018 | Journal Article | LibreCat-ID: 40050
Baeumer, Boris, et al. “Space‐time Fractional Dirichlet Problems.” Mathematische Nachrichten, vol. 291, no. 17–18, Wiley, 2018, pp. 2516–35, doi: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, vol. 30, no. 1, Springer Science and Business Media LLC, 2017, pp. 297–325, doi:10.1007/s10959-015-0638-4.
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2017 | Journal Article | LibreCat-ID: 40049
Graczyk, Piotr, et al. “On the Green Function and Poisson Integrals of the Dunkl Laplacian.” Potential Analysis, vol. 48, no. 3, Springer Science and Business Media LLC, 2017, pp. 337–60, doi: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, vol. 368, no. 8, American Mathematical Society, 2016, pp. 6005–32, doi: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, vol. 435, no. 1, Elsevier BV, 2016, pp. 701–17, doi:10.1016/j.jmaa.2015.10.062.
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2016 | Journal Article | LibreCat-ID: 40066
Bañuelos, Rodrigo, et al. “Hardy–Stein Identities and Square Functions for Semigroups.” Journal of the London Mathematical Society, vol. 94, no. 2, Wiley, 2016, pp. 462–78, doi: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, vol. 11, no. 013, SIGMA (Symmetry, Integrability and Geometry: Methods and Application), 2015, p. 18pp, doi: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, vol. 197, Elsevier BV, 2014, pp. 30–48, doi:10.1016/j.jat.2014.07.005.
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2014 | Journal Article | LibreCat-ID: 40068
Bogdan, Krzysztof, et al. “On Hardy Spaces of Local and Nonlocal Operators.” Hiroshima Mathematical Journal, vol. 44, no. 2, Hiroshima University - Department of Mathematics, 2014, pp. 193–215, doi:10.32917/hmj/1408972907.
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2013 | Journal Article | LibreCat-ID: 37672
Rösler, Margit, et al. “Limit Transition between Hypergeometric Functions of Type BC and Type A.” Compositio Mathematica, vol. 149, no. 8, Wiley, 2013, pp. 1381–400, doi: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, Heldermann , 2013, pp. 899--920, doi: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, vol. 39, no. 1, Springer Science and Business Media LLC, 2013, pp. 29–67, doi:10.1007/s11118-012-9321-x.
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2013 | Journal Article | LibreCat-ID: 40070
Graczyk, Piotr, et al. “Martin Representation and Relative Fatou Theorem for Fractional Laplacian with a Gradient Perturbation.” Positivity, vol. 17, no. 4, Springer Science and Business Media LLC, 2013, pp. 1043–70, doi: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, vol. 204, no. 1, Institute of Mathematics, Polish Academy of Sciences, 2011, pp. 39–62, doi: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, Oxford University Press (OUP), 2011, pp. 4200–4225, doi: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, vol. 284, no. 1, Wiley, 2011, pp. 87–104, doi: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, vol. 258, no. 8, Elsevier BV, 2010, pp. 2779–800, doi: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.” Infinite Dimensional Harmonic Analysis IV, World Scientific, 2009, pp. 255–271, doi: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, vol. 4, no. 083, SIGMA (Symmetry, Integrability and Geometry: Methods and Application), 2008, p. 9pp, doi:10.3842/sigma.2008.083.
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2007 | Journal Article | LibreCat-ID: 39947
Rösler, Margit. “Bessel Convolutions on Matrix Cones.” Compositio Mathematica, vol. 143, no. 03, Wiley, 2007, pp. 749–79, doi: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, vol. 90, no. 1–2, Springer Science and Business Media LLC, 2006, pp. 179–95, doi: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, vol. 22, no. 2, Springer Science and Business Media LLC, 2005, pp. 193–218, doi: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.” Infinite Dimensional Harmonic Analysis III, World Scientific Publ., 2005, pp. 249–264, doi: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, Oxford University Press, 2004, pp. 3379–3389, doi:10.48550/ARXIV.MATH/0405368.
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2003 | Book Chapter | LibreCat-ID: 39956
Rösler, Margit. “Dunkl Operators: Theory and Applications.” Lecture Notes in Mathematics, Springer Berlin Heidelberg, 2003, pp. 93–135, doi: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, vol. 355, no. 6, American Mathematical Society (AMS), 2003, pp. 2413–2438, doi: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, vol. 119, no. 1, Elsevier BV, 2002, pp. 110–26, doi: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.” Special Functions (HongKong 1999), World Scientific, 2000, pp. 309–23, doi: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.” Infinite Dimensional Harmonic Analysis (Kyoto 1999), Gräbner-Verlag, 2000, pp. 290–305.
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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, vol. 59, no. 3, Cambridge University Press (CUP), 1999, pp. 353–60, doi:10.1017/s0004972700033025.
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1999 | Journal Article | LibreCat-ID: 40189
Rösler, Margit. “Positivity of Dunkl’s Intertwining Operator.” Duke Mathematical Journal, vol. 98, no. 3, Duke University Press, 1999, pp. 445–63, doi: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, vol. 51, no. 1, Canadian Mathematical Society, 1999, pp. 96–116, doi: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, vol. 127, no. 1, American Mathematical Society (AMS), 1999, pp. 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, vol. 99, no. 1–2, Elsevier BV, 1998, pp. 337–51, doi: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, vol. 21, no. 4, Elsevier BV, 1998, pp. 575–643, doi: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, vol. 209, no. 2, Elsevier BV, 1997, pp. 624–34, doi:10.1006/jmaa.1997.5386.
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1995 | Conference Paper | LibreCat-ID: 40209
Rösler, Margit. “Convolution Algebras Which Are Not Necessarily Positivity-Preserving.” Applications of Hypergroups and Related Measure Algebras, vol. 183, American Mathematical Society, 1995, pp. 299–318, doi:10.1090/conm/183/02068.
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1995 | Journal Article | LibreCat-ID: 40207
Rösler, Margit. “Trigonometric Convolution Structures on Z Derived from Jacobi Polynomials.” Journal of Computational and Applied Mathematics, vol. 65, no. 1–3, Elsevier BV, 1995, pp. 357–68, doi:10.1016/0377-0427(95)00122-0.
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1995 | Journal Article | LibreCat-ID: 40208
Rösler, Margit. “On the Dual of a Commutative Signed Hypergroup.” Manuscripta Mathematica, vol. 88, no. 1, Springer Science and Business Media LLC, 1995, pp. 147–63, doi:10.1007/bf02567812.
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1995 | Conference Paper | LibreCat-ID: 40655
Rösler, Margit. “Bessel-Type Signed Hypergroups on R.” Probability Measures on Groups and Related Structures XI (Oberwolfach 1994), World Scientific, 1995, pp. 292–304.
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1993 | Journal Article | LibreCat-ID: 40216
Lasser, R., and Margit Rösler. “A Note on Property (T) of Orthogonal Polynomials.” Archiv Der Mathematik, vol. 60, no. 5, Springer Science and Business Media LLC, 1993, pp. 459–63, doi:10.1007/bf01202312.
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1991 | Journal Article | LibreCat-ID: 40218
Lasser, R., and Margit Rösler. “Linear Mean Estimation of Weakly Stationary Stochastic Processes under the Aspects of Optimality and Asymptotic Optimality.” Stochastic Processes and Their Applications, vol. 38, no. 2, Elsevier BV, 1991, pp. 279–93, doi:10.1016/0304-4149(91)90095-t.
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1991 | Conference Paper | LibreCat-ID: 40656
Rösler, Margit. “On Optimal Linear Mean Estimators for Weakly Stationary Stochastic Processes.” Orthogonal Polynomials and Their Applications (Erice, 1990), IMACS Ann. Comput. Appl. Math., 9, 1991, pp. 373–378.
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