--- _id: '56717' abstract: - lang: eng text: "We establish a multiresolution analysis on the space $\\text{Herm}(n)$ of\r\n$n\\times n$ complex Hermitian matrices which is adapted to invariance under\r\nconjugation by the unitary group $U(n).$ The orbits under this action are\r\nparametrized by the possible ordered spectra of Hermitian matrices, which\r\nconstitute a closed Weyl chamber of type $A_{n-1}$ in $\\mathbb R^n.$ The space\r\n$L^2(\\text{Herm}(n))^{U(n)}$ of radial, i.e. $U(n)$-invariant $L^2$-functions\r\non $\\text{Herm}(n)$ is naturally identified with a certain weighted $L^2$-space\r\non this chamber.\r\n The scale spaces of our multiresolution analysis are obtained by usual dyadic\r\ndilations as well as generalized translations of a scaling function, where the\r\ngeneralized translation is a hypergroup translation which respects the radial\r\ngeometry. We provide a concise criterion to characterize orthonormal wavelet\r\nbases and show that such bases always exist. They provide natural orthonormal\r\nbases of the space $L^2(\\text{Herm}(n))^{U(n)}.$\r\n Furthermore, we show how to obtain radial scaling functions from classical\r\nscaling functions on $\\mathbb R^{n}$. Finally, generalizations related to the\r\nCartan decompositions for general compact Lie groups are indicated." article_type: original author: - first_name: Lukas full_name: Langen, Lukas id: '73664' last_name: Langen - first_name: Margit full_name: Rösler, Margit id: '37390' last_name: Rösler citation: ama: Langen L, Rösler M. Multiresolution analysis on spectra of hermitian matrices. Indagationes Mathematicae. 2025;36(6):1671-1694. apa: Langen, L., & Rösler, M. (2025). Multiresolution analysis on spectra of hermitian matrices. Indagationes Mathematicae, 36(6), 1671–1694. bibtex: '@article{Langen_Rösler_2025, title={Multiresolution analysis on spectra of hermitian matrices}, volume={36}, number={6}, journal={Indagationes Mathematicae}, publisher={Elsevier}, author={Langen, Lukas and Rösler, Margit}, year={2025}, pages={1671–1694} }' chicago: 'Langen, Lukas, and Margit Rösler. “Multiresolution Analysis on Spectra of Hermitian Matrices.” Indagationes Mathematicae 36, no. 6 (2025): 1671–94.' ieee: L. Langen and M. Rösler, “Multiresolution analysis on spectra of hermitian matrices,” Indagationes Mathematicae, vol. 36, no. 6, pp. 1671–1694, 2025. mla: Langen, Lukas, and Margit Rösler. “Multiresolution Analysis on Spectra of Hermitian Matrices.” Indagationes Mathematicae, vol. 36, no. 6, Elsevier, 2025, pp. 1671–94. short: L. Langen, M. Rösler, Indagationes Mathematicae 36 (2025) 1671–1694. date_created: 2024-10-22T09:31:19Z date_updated: 2026-02-19T14:16:43Z ddc: - '510' department: - _id: '555' external_id: arxiv: - '2410.10364' file: - access_level: closed content_type: application/pdf creator: llangen date_created: 2026-02-19T14:14:39Z date_updated: 2026-02-19T14:14:39Z file_id: '64288' file_name: MSA_hermitsch_published.pdf file_size: 443262 relation: main_file success: 1 file_date_updated: 2026-02-19T14:14:39Z has_accepted_license: '1' intvolume: ' 36' issue: '6' language: - iso: eng main_file_link: - url: https://doi.org/10.1016/j.indag.2025.03.009 page: 1671-1694 project: - _id: '357' name: TRR 358 - Ganzzahlige Strukturen in Geometrie und Darstellungstheorie publication: Indagationes Mathematicae publication_status: published publisher: Elsevier related_material: link: - relation: research_paper url: https://arxiv.org/abs/2410.10364 status: public title: Multiresolution analysis on spectra of hermitian matrices type: journal_article user_id: '73664' volume: 36 year: '2025' ... --- _id: '53542' abstract: - lang: eng text: "AbstractThis work deals with the extension problem for the fractional Laplacian on Riemannian symmetric spaces G/K of noncompact type and of general rank, which gives rise to a family of convolution operators, including the Poisson operator. More precisely, motivated by Euclidean results for the Poisson semigroup, we study the long-time asymptotic behavior of solutions to the extension problem for

$$L^1$$

\r\n \r\n \ L\r\n 1\r\n \ \r\n initial data. In the case of the Laplace–Beltrami operator, we show that if the initial data are bi-K-invariant, then the solution to the extension problem behaves asymptotically as the mass times the fundamental solution, but this convergence may break down in the non-bi-K-invariant case. In the second part, we investigate the long-time asymptotic behavior of the extension problem associated with the so-called distinguished Laplacian on G/K. In this case, we observe phenomena which are similar to the Euclidean setting for the Poisson semigroup, such as

$$L^1$$

\r\n \r\n \ L\r\n 1\r\n \ \r\n asymptotic convergence without the assumption of bi-K-invariance." article_number: '34' author: - first_name: Efthymia full_name: Papageorgiou, Efthymia id: '100325' last_name: Papageorgiou citation: ama: 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 apa: 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 bibtex: '@article{Papageorgiou_2024, title={Asymptotic behavior of solutions to the extension problem for the fractional Laplacian on noncompact symmetric spaces}, volume={24}, DOI={10.1007/s00028-024-00959-6}, number={234}, journal={Journal of Evolution Equations}, publisher={Springer Science and Business Media LLC}, author={Papageorgiou, Efthymia}, year={2024} }' chicago: 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. ieee: 'E. Papageorgiou, “Asymptotic behavior of solutions to the extension problem for the fractional Laplacian on noncompact symmetric spaces,” Journal of Evolution Equations, vol. 24, no. 2, Art. no. 34, 2024, doi: 10.1007/s00028-024-00959-6.' mla: 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. short: E. Papageorgiou, Journal of Evolution Equations 24 (2024). date_created: 2024-04-17T13:18:30Z date_updated: 2024-04-17T13:20:29Z department: - _id: '555' doi: 10.1007/s00028-024-00959-6 intvolume: ' 24' issue: '2' keyword: - Mathematics (miscellaneous) language: - iso: eng publication: Journal of Evolution Equations publication_identifier: issn: - 1424-3199 - 1424-3202 publication_status: published publisher: Springer Science and Business Media LLC status: public title: Asymptotic behavior of solutions to the extension problem for the fractional Laplacian on noncompact symmetric spaces type: journal_article user_id: '100325' volume: 24 year: '2024' ... --- _id: '53300' article_number: '128125' author: - first_name: Dominik full_name: Brennecken, Dominik id: '55911' last_name: Brennecken citation: ama: Brennecken D. Hankel transform, K-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 apa: Brennecken, D. (2024). Hankel transform, K-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 bibtex: '@article{Brennecken_2024, title={Hankel transform, K-Bessel functions and zeta distributions in the Dunkl setting}, volume={535}, DOI={10.1016/j.jmaa.2024.128125}, number={2128125}, journal={Journal of Mathematical Analysis and Applications}, publisher={Elsevier BV}, author={Brennecken, Dominik}, year={2024} }' chicago: Brennecken, Dominik. “Hankel Transform, K-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. ieee: 'D. Brennecken, “Hankel transform, K-Bessel functions and zeta distributions in the Dunkl setting,” Journal of Mathematical Analysis and Applications, vol. 535, no. 2, Art. no. 128125, 2024, doi: 10.1016/j.jmaa.2024.128125.' mla: Brennecken, Dominik. “Hankel Transform, K-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. short: D. Brennecken, Journal of Mathematical Analysis and Applications 535 (2024). date_created: 2024-04-05T13:55:33Z date_updated: 2024-09-03T14:40:46Z department: - _id: '555' doi: 10.1016/j.jmaa.2024.128125 intvolume: ' 535' issue: '2' keyword: - Applied Mathematics - Analysis language: - iso: eng publication: Journal of Mathematical Analysis and Applications publication_identifier: issn: - 0022-247X publication_status: published publisher: Elsevier BV status: public title: Hankel transform, K-Bessel functions and zeta distributions in the Dunkl setting type: journal_article user_id: '55911' volume: 535 year: '2024' ... --- _id: '56001' author: - first_name: Dominik full_name: Brennecken, Dominik id: '55911' last_name: Brennecken - first_name: Margit full_name: Rösler, Margit id: '37390' last_name: Rösler citation: ama: 'Brennecken D, Rösler M. The Laplace transform in Dunkl theory. In: Chatzakou M, Ruzhansky M, Stoeva D, eds. Women in Analysis and PDE. Vol 5. Trends in Mathematics: Research Perspectives Ghent Analysis and PDE Cente. Birkhäuser Cham; 2024:425.' apa: Brennecken, D., & Rösler, M. (2024). The Laplace transform in Dunkl theory. In M. Chatzakou, M. Ruzhansky, & D. Stoeva (Eds.), Women in Analysis and PDE (Vol. 5, p. 425). Birkhäuser Cham. bibtex: '@inbook{Brennecken_Rösler_2024, series={Trends in Mathematics: Research Perspectives Ghent Analysis and PDE Cente}, title={The Laplace transform in Dunkl theory}, volume={5}, booktitle={Women in Analysis and PDE}, publisher={Birkhäuser Cham}, author={Brennecken, Dominik and Rösler, Margit}, editor={Chatzakou, Marianna and Ruzhansky, Michael and Stoeva, Diana}, year={2024}, pages={425}, collection={Trends in Mathematics: Research Perspectives Ghent Analysis and PDE Cente} }' chicago: 'Brennecken, Dominik, and Margit Rösler. “The Laplace Transform in Dunkl Theory.” In Women in Analysis and PDE, edited by Marianna Chatzakou, Michael Ruzhansky, and Diana Stoeva, 5:425. Trends in Mathematics: Research Perspectives Ghent Analysis and PDE Cente. Birkhäuser Cham, 2024.' ieee: D. Brennecken and M. Rösler, “The Laplace transform in Dunkl theory,” in Women in Analysis and PDE, vol. 5, M. Chatzakou, M. Ruzhansky, and D. Stoeva, Eds. Birkhäuser Cham, 2024, p. 425. mla: Brennecken, Dominik, and Margit Rösler. “The Laplace Transform in Dunkl Theory.” Women in Analysis and PDE, edited by Marianna Chatzakou et al., vol. 5, Birkhäuser Cham, 2024, p. 425. short: 'D. Brennecken, M. Rösler, in: M. Chatzakou, M. Ruzhansky, D. Stoeva (Eds.), Women in Analysis and PDE, Birkhäuser Cham, 2024, p. 425.' date_created: 2024-09-03T15:31:27Z date_updated: 2024-09-05T06:58:54Z department: - _id: '555' editor: - first_name: Marianna full_name: Chatzakou, Marianna last_name: Chatzakou - first_name: Michael full_name: Ruzhansky, Michael last_name: Ruzhansky - first_name: Diana full_name: Stoeva, Diana last_name: Stoeva intvolume: ' 5' language: - iso: eng page: '425' publication: Women in Analysis and PDE publication_identifier: isbn: - 978-3-031-57004-9 publication_status: published publisher: Birkhäuser Cham series_title: 'Trends in Mathematics: Research Perspectives Ghent Analysis and PDE Cente' status: public title: The Laplace transform in Dunkl theory type: book_chapter user_id: '82981' volume: 5 year: '2024' ... --- _id: '56366' abstract: - lang: eng text: AbstractWe discuss in which cases the Dunkl convolution of distributions , possibly both with non‐compact support, can be defined and study its analytic properties. We prove results on the (singular‐)support of Dunkl convolutions. Based on this, we are able to prove a theorem on elliptic regularity for a certain class of Dunkl operators, called elliptic Dunkl operators. Finally, for the root system we consider the Riesz distributions and prove that their Dunkl convolution exists and that holds. author: - first_name: Dominik full_name: Brennecken, Dominik id: '55911' last_name: Brennecken citation: ama: Brennecken D. Dunkl convolution and elliptic regularity for Dunkl operators. Mathematische Nachrichten. Published online 2024. doi:10.1002/mana.202300370 apa: Brennecken, D. (2024). Dunkl convolution and elliptic regularity for Dunkl operators. Mathematische Nachrichten. https://doi.org/10.1002/mana.202300370 bibtex: '@article{Brennecken_2024, title={Dunkl convolution and elliptic regularity for Dunkl operators}, DOI={10.1002/mana.202300370}, journal={Mathematische Nachrichten}, publisher={Wiley}, author={Brennecken, Dominik}, year={2024} }' chicago: Brennecken, Dominik. “Dunkl Convolution and Elliptic Regularity for Dunkl Operators.” Mathematische Nachrichten, 2024. https://doi.org/10.1002/mana.202300370. ieee: 'D. Brennecken, “Dunkl convolution and elliptic regularity for Dunkl operators,” Mathematische Nachrichten, 2024, doi: 10.1002/mana.202300370.' mla: Brennecken, Dominik. “Dunkl Convolution and Elliptic Regularity for Dunkl Operators.” Mathematische Nachrichten, Wiley, 2024, doi:10.1002/mana.202300370. short: D. Brennecken, Mathematische Nachrichten (2024). date_created: 2024-10-07T11:44:00Z date_updated: 2024-10-07T11:46:15Z department: - _id: '555' doi: 10.1002/mana.202300370 language: - iso: eng publication: Mathematische Nachrichten publication_identifier: issn: - 0025-584X - 1522-2616 publication_status: published publisher: Wiley status: public title: Dunkl convolution and elliptic regularity for Dunkl operators type: journal_article user_id: '55911' year: '2024' ... --- _id: '53540' abstract: - lang: eng text: "AbstractThis note is concerned with two families of operators related to the fractional Laplacian, the first arising from the Caffarelli-Silvestre extension problem and the second from the fractional heat equation. They both include the Poisson semigroup. We show that on a complete, connected, and non-compact Riemannian manifold of non-negative Ricci curvature, in both cases, the solution with

$$L^1$$

\r\n \r\n \ L\r\n 1\r\n \ \r\n initial data behaves asymptotically as the mass times the fundamental solution. Similar long-time convergence results remain valid on more general manifolds satisfying the Li-Yau two-sided estimate of the heat kernel. The situation changes drastically on hyperbolic space, and more generally on rank one non-compact symmetric spaces: we show that for the Poisson semigroup, the convergence to the Poisson kernel fails -but remains true under the additional assumption of radial initial data." author: - first_name: Efthymia full_name: Papageorgiou, Efthymia id: '100325' last_name: Papageorgiou citation: ama: 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 apa: 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 bibtex: '@article{Papageorgiou_2023, title={Large-Time Behavior of Two Families of Operators Related to the Fractional Laplacian on Certain Riemannian Manifolds}, DOI={10.1007/s11118-023-10109-1}, journal={Potential Analysis}, publisher={Springer Science and Business Media LLC}, author={Papageorgiou, Efthymia}, year={2023} }' chicago: 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. ieee: 'E. Papageorgiou, “Large-Time Behavior of Two Families of Operators Related to the Fractional Laplacian on Certain Riemannian Manifolds,” Potential Analysis, 2023, doi: 10.1007/s11118-023-10109-1.' mla: 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. short: E. Papageorgiou, Potential Analysis (2023). date_created: 2024-04-17T13:17:37Z date_updated: 2024-04-17T13:19:59Z department: - _id: '555' doi: 10.1007/s11118-023-10109-1 keyword: - Analysis language: - iso: eng publication: Potential Analysis publication_identifier: issn: - 0926-2601 - 1572-929X publication_status: published publisher: Springer Science and Business Media LLC status: public title: Large-Time Behavior of Two Families of Operators Related to the Fractional Laplacian on Certain Riemannian Manifolds type: journal_article user_id: '100325' year: '2023' ... --- _id: '53539' abstract: - lang: eng text: "AbstractThe infinite Brownian loop on a Riemannian manifold is the limit in distribution of the Brownian bridge of length T around a fixed origin when

$$T \\rightarrow +\\infty $$

\r\n \ \r\n T\r\n →\r\n \ +\r\n ∞\r\n \ \r\n . The aim of this note is to study its long-time asymptotics on Riemannian symmetric spaces G/K of noncompact type and of general rank. This amounts to the behavior of solutions to the heat equation subject to the Doob transform induced by the ground spherical function. Unlike the standard Brownian motion, we observe in this case phenomena which are similar to the Euclidean setting, namely

$$L^1$$

\r\n \r\n \ L\r\n 1\r\n \ \r\n asymptotic convergence without requiring bi-K-invariance for initial data, and strong

$$L^{\\infty }$$

\r\n \ \r\n L\r\n ∞\r\n \ \r\n convergence." author: - first_name: Efthymia full_name: Papageorgiou, Efthymia id: '100325' last_name: Papageorgiou citation: ama: 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 apa: 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 bibtex: '@article{Papageorgiou_2023, title={Asymptotics for the infinite Brownian loop on noncompact symmetric spaces}, DOI={10.1007/s41808-023-00250-8}, journal={Journal of Elliptic and Parabolic Equations}, publisher={Springer Science and Business Media LLC}, author={Papageorgiou, Efthymia}, year={2023} }' chicago: 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. ieee: 'E. Papageorgiou, “Asymptotics for the infinite Brownian loop on noncompact symmetric spaces,” Journal of Elliptic and Parabolic Equations, 2023, doi: 10.1007/s41808-023-00250-8.' mla: 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. short: E. Papageorgiou, Journal of Elliptic and Parabolic Equations (2023). date_created: 2024-04-17T13:16:39Z date_updated: 2024-04-17T13:17:10Z department: - _id: '555' doi: 10.1007/s41808-023-00250-8 keyword: - Applied Mathematics - Numerical Analysis - Analysis language: - iso: eng publication: Journal of Elliptic and Parabolic Equations publication_identifier: issn: - 2296-9020 - 2296-9039 publication_status: published publisher: Springer Science and Business Media LLC status: public title: Asymptotics for the infinite Brownian loop on noncompact symmetric spaces type: journal_article user_id: '100325' year: '2023' ... --- _id: '53538' abstract: - lang: eng text: AbstractWe study harmonic maps from a subset of the complex plane to a subset of the hyperbolic plane. In Fotiadis and Daskaloyannis (Nonlinear Anal 214, 112546, 2022), harmonic maps are related to the sinh-Gordon equation and a Bäcklund transformation is introduced, which connects solutions of the sinh-Gordon and sine-Gordon equation. We develop this machinery in order to construct new harmonic maps to the hyperbolic plane. author: - first_name: G. full_name: Polychrou, G. last_name: Polychrou - first_name: Efthymia full_name: Papageorgiou, Efthymia id: '100325' last_name: Papageorgiou - first_name: A. full_name: Fotiadis, A. last_name: Fotiadis - first_name: C. full_name: Daskaloyannis, C. last_name: Daskaloyannis citation: ama: 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 apa: 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 bibtex: '@article{Polychrou_Papageorgiou_Fotiadis_Daskaloyannis_2023, title={New examples of harmonic maps to the hyperbolic plane via Bäcklund transformation}, DOI={10.1007/s13163-023-00476-z}, journal={Revista Matemática Complutense}, publisher={Springer Science and Business Media LLC}, author={Polychrou, G. and Papageorgiou, Efthymia and Fotiadis, A. and Daskaloyannis, C.}, year={2023} }' chicago: 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. ieee: 'G. Polychrou, E. Papageorgiou, A. Fotiadis, and C. Daskaloyannis, “New examples of harmonic maps to the hyperbolic plane via Bäcklund transformation,” Revista Matemática Complutense, 2023, doi: 10.1007/s13163-023-00476-z.' mla: 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. short: G. Polychrou, E. Papageorgiou, A. Fotiadis, C. Daskaloyannis, Revista Matemática Complutense (2023). date_created: 2024-04-17T13:15:07Z date_updated: 2024-04-17T13:15:51Z department: - _id: '555' doi: 10.1007/s13163-023-00476-z keyword: - General Mathematics language: - iso: eng publication: Revista Matemática Complutense publication_identifier: issn: - 1139-1138 - 1988-2807 publication_status: published publisher: Springer Science and Business Media LLC status: public title: New examples of harmonic maps to the hyperbolic plane via Bäcklund transformation type: journal_article user_id: '100325' year: '2023' ... --- _id: '36294' author: - first_name: Dominik full_name: Brennecken, Dominik id: '55911' last_name: Brennecken - first_name: Margit full_name: Rösler, Margit id: '37390' last_name: Rösler citation: ama: 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 apa: 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 bibtex: '@article{Brennecken_Rösler_2023, title={The Dunkl-Laplace transform and Macdonald’s hypergeometric series}, volume={376}, DOI={10.1090/tran/8860}, number={4}, journal={Transactions of the American Mathematical Society}, publisher={ American Mathematical Society}, author={Brennecken, Dominik and Rösler, Margit}, year={2023}, pages={2419–2447} }' chicago: '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.' ieee: 'D. Brennecken and M. Rösler, “The Dunkl-Laplace transform and Macdonald’s hypergeometric series,” Transactions of the American Mathematical Society, vol. 376, no. 4, pp. 2419–2447, 2023, doi: 10.1090/tran/8860.' mla: 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. short: D. Brennecken, M. Rösler, Transactions of the American Mathematical Society 376 (2023) 2419–2447. date_created: 2023-01-12T08:32:44Z date_updated: 2024-04-24T12:47:49Z department: - _id: '555' doi: 10.1090/tran/8860 intvolume: ' 376' issue: '4' language: - iso: eng page: 2419-2447 publication: Transactions of the American Mathematical Society publication_status: published publisher: ' American Mathematical Society' status: public title: The Dunkl-Laplace transform and Macdonald’s hypergeometric series type: journal_article user_id: '37390' volume: 376 year: '2023' ... --- _id: '38039' abstract: - lang: eng text: We consider the generators $L_k$ of Heckman-Opdam diffusion processes in the compact and non-compact case in $N$ dimensions for root systems of type $A$ and $B$, with a multiplicity function of the form $k=κk_0$ with some fixed value $k_0$ and a varying constant $κ\in\,[0,\infty[$. Using elementary symmetric functions, we present polynomials which are simultaneous eigenfunctions of the $L_k$ for all $κ\in\,]0,\infty[$. This leads to martingales associated with the Heckman-Opdam diffusions $ (X_{t,1},\ldots,X_{t,N})_{t\ge0}$. As our results extend to the freezing case $κ=\infty$ with a deterministic limit after some renormalization, we find formulas for the expectations $\mathbb E(\prod_{j=1}^N(y-X_{t,j})),$ $y\in\mathbb C$. author: - first_name: Margit full_name: Rösler, Margit id: '37390' last_name: Rösler - first_name: Michael full_name: Voit, Michael last_name: Voit citation: ama: 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 apa: 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 bibtex: '@article{Rösler_Voit_2022, title={Elementary symmetric polynomials and martingales for Heckman-Opdam processes}, DOI={10.48550/ARXIV.2108.03228}, number={780}, journal={Contemporary Mathematics}, author={Rösler, Margit and Voit, Michael}, year={2022}, pages={243–262} }' chicago: '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.' ieee: 'M. Rösler and M. Voit, “Elementary symmetric polynomials and martingales for Heckman-Opdam processes,” Contemporary Mathematics, no. 780, pp. 243–262, 2022, doi: 10.48550/ARXIV.2108.03228.' mla: 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. short: M. Rösler, M. Voit, Contemporary Mathematics (2022) 243–262. conference: name: Hypergeometry, integrability and Lie theory date_created: 2023-01-23T08:31:27Z date_updated: 2023-01-24T22:16:21Z department: - _id: '555' doi: 10.48550/ARXIV.2108.03228 issue: '780' language: - iso: eng page: 243-262 publication: Contemporary Mathematics publication_status: published status: public title: Elementary symmetric polynomials and martingales for Heckman-Opdam processes type: journal_article user_id: '37390' year: '2022' ... --- _id: '40053' author: - first_name: P. full_name: Graczyk, P. last_name: Graczyk - first_name: Tomasz full_name: Luks, Tomasz id: '58312' last_name: Luks - first_name: P. full_name: Sawyer, P. last_name: Sawyer citation: ama: 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 apa: 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 bibtex: '@article{Graczyk_Luks_Sawyer_2022, title={Potential kernels for radial Dunkl Laplacians}, volume={74}, DOI={10.4153/s0008414x21000195}, number={4}, journal={Canadian Journal of Mathematics}, publisher={Canadian Mathematical Society}, author={Graczyk, P. and Luks, Tomasz and Sawyer, P.}, year={2022}, pages={1005–1033} }' chicago: '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.' ieee: 'P. Graczyk, T. Luks, and P. Sawyer, “Potential kernels for radial Dunkl Laplacians,” Canadian Journal of Mathematics, vol. 74, no. 4, pp. 1005–1033, 2022, doi: 10.4153/s0008414x21000195.' mla: 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. short: P. Graczyk, T. Luks, P. Sawyer, Canadian Journal of Mathematics 74 (2022) 1005–1033. date_created: 2023-01-25T15:13:06Z date_updated: 2023-01-26T17:18:50Z department: - _id: '555' doi: 10.4153/s0008414x21000195 intvolume: ' 74' issue: '4' language: - iso: eng page: 1005-1033 publication: Canadian Journal of Mathematics publication_identifier: issn: - 0008-414X - 1496-4279 publication_status: published publisher: Canadian Mathematical Society status: public title: Potential kernels for radial Dunkl Laplacians type: journal_article user_id: '58312' volume: 74 year: '2022' ... --- _id: '36271' author: - first_name: Dominik full_name: Brennecken, Dominik id: '55911' last_name: Brennecken - first_name: Joachim full_name: Hilgert, Joachim id: '220' last_name: Hilgert - first_name: Lorenzo full_name: Ciardo, Lorenzo last_name: Ciardo citation: ama: 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 apa: 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 bibtex: '@article{Brennecken_Hilgert_Ciardo_2021, title={Algebraically Independent Generators for the Algebra of Invariant Differential Operators on SLn(R)/SOn(R)}, volume={31}, DOI={10.48550/arXiv.2008.07479}, number={2}, journal={Journal of Lie Theory}, publisher={Heldermann Verlag}, author={Brennecken, Dominik and Hilgert, Joachim and Ciardo, Lorenzo}, year={2021}, pages={459--468} }' chicago: '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.' ieee: 'D. Brennecken, J. Hilgert, and L. Ciardo, “Algebraically Independent Generators for the Algebra of Invariant Differential Operators on SLn(R)/SOn(R),” Journal of Lie Theory, vol. 31, no. 2, pp. 459--468, 2021, doi: 10.48550/arXiv.2008.07479.' mla: 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. short: D. Brennecken, J. Hilgert, L. Ciardo, Journal of Lie Theory 31 (2021) 459--468. date_created: 2023-01-12T08:23:28Z date_updated: 2024-02-19T06:27:09Z department: - _id: '555' - _id: '91' doi: 10.48550/arXiv.2008.07479 intvolume: ' 31' issue: '2' language: - iso: eng page: 459--468 publication: Journal of Lie Theory publication_status: published publisher: Heldermann Verlag status: public title: Algebraically Independent Generators for the Algebra of Invariant Differential Operators on SLn(R)/SOn(R) type: journal_article user_id: '49063' volume: 31 year: '2021' ... --- _id: '37659' author: - first_name: Margit full_name: Rösler, Margit id: '37390' last_name: Rösler - first_name: Michael full_name: Voit, Michael last_name: Voit citation: ama: 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 apa: 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 bibtex: '@article{Rösler_Voit_2021, title={Positive intertwiners for Bessel functions of type B}, volume={149}, DOI={10.1090/proc/15312}, number={3}, journal={Proceedings of the American Mathematical Society}, publisher={American Mathematical Society (AMS)}, author={Rösler, Margit and Voit, Michael}, year={2021}, pages={1151–1163} }' chicago: '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.' ieee: 'M. Rösler and M. Voit, “Positive intertwiners for Bessel functions of type B,” Proceedings of the American Mathematical Society, vol. 149, no. 3, pp. 1151–1163, 2021, doi: 10.1090/proc/15312.' mla: 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. short: M. Rösler, M. Voit, Proceedings of the American Mathematical Society 149 (2021) 1151–1163. date_created: 2023-01-20T09:22:12Z date_updated: 2023-01-24T22:16:16Z department: - _id: '555' doi: 10.1090/proc/15312 intvolume: ' 149' issue: '3' keyword: - Applied Mathematics - General Mathematics language: - iso: eng page: 1151-1163 publication: Proceedings of the American Mathematical Society publication_identifier: issn: - 0002-9939 - 1088-6826 publication_status: published publisher: American Mathematical Society (AMS) status: public title: Positive intertwiners for Bessel functions of type B type: journal_article user_id: '37390' volume: 149 year: '2021' ... --- _id: '37660' article_number: '108506' author: - first_name: Margit full_name: Rösler, Margit id: '37390' last_name: Rösler citation: ama: 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 apa: 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 bibtex: '@article{Rösler_2020, title={Riesz distributions and Laplace transform in the Dunkl setting of type A}, volume={278}, DOI={10.1016/j.jfa.2020.108506}, number={12108506}, journal={Journal of Functional Analysis}, publisher={Elsevier BV}, author={Rösler, Margit}, year={2020} }' chicago: 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. ieee: 'M. Rösler, “Riesz distributions and Laplace transform in the Dunkl setting of type A,” Journal of Functional Analysis, vol. 278, no. 12, Art. no. 108506, 2020, doi: 10.1016/j.jfa.2020.108506.' mla: 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. short: M. Rösler, Journal of Functional Analysis 278 (2020). date_created: 2023-01-20T09:22:53Z date_updated: 2023-01-24T22:16:07Z department: - _id: '555' doi: 10.1016/j.jfa.2020.108506 intvolume: ' 278' issue: '12' keyword: - Analysis language: - iso: eng publication: Journal of Functional Analysis publication_identifier: issn: - 0022-1236 publication_status: published publisher: Elsevier BV status: public title: Riesz distributions and Laplace transform in the Dunkl setting of type A type: journal_article user_id: '93826' volume: 278 year: '2020' ... --- _id: '40051' author: - first_name: Tomasz full_name: Luks, Tomasz id: '58312' last_name: Luks - first_name: Yimin full_name: Xiao, Yimin last_name: Xiao citation: ama: 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 apa: 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 bibtex: '@article{Luks_Xiao_2020, title={Multiple Points of Operator Semistable Lévy Processes}, volume={33}, DOI={10.1007/s10959-018-0859-4}, number={1}, journal={Journal of Theoretical Probability}, publisher={Springer Science and Business Media LLC}, author={Luks, Tomasz and Xiao, Yimin}, year={2020}, pages={153–179} }' chicago: '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.' ieee: 'T. Luks and Y. Xiao, “Multiple Points of Operator Semistable Lévy Processes,” Journal of Theoretical Probability, vol. 33, no. 1, pp. 153–179, 2020, doi: 10.1007/s10959-018-0859-4.' mla: 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. short: T. Luks, Y. Xiao, Journal of Theoretical Probability 33 (2020) 153–179. date_created: 2023-01-25T15:12:16Z date_updated: 2023-01-26T17:19:17Z department: - _id: '555' doi: 10.1007/s10959-018-0859-4 intvolume: ' 33' issue: '1' language: - iso: eng page: 153-179 publication: Journal of Theoretical Probability publication_identifier: issn: - 0894-9840 - 1572-9230 publication_status: published publisher: Springer Science and Business Media LLC status: public title: Multiple Points of Operator Semistable Lévy Processes type: journal_article user_id: '58312' volume: 33 year: '2020' ... --- _id: '37661' alternative_title: - Beta Distributions and Sonine Integrals author: - first_name: Margit full_name: Rösler, Margit id: '37390' last_name: Rösler - first_name: Michael full_name: Voit, Michael last_name: Voit citation: ama: 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 apa: 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 bibtex: '@article{Rösler_Voit_2018, title={Beta Distributions and Sonine Integrals for Bessel Functions on Symmetric Cones}, volume={141}, DOI={10.1111/sapm.12217}, number={4}, journal={Studies in Applied Mathematics}, publisher={Wiley}, author={Rösler, Margit and Voit, Michael}, year={2018}, pages={474–500} }' chicago: '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.' ieee: 'M. Rösler and M. Voit, “Beta Distributions and Sonine Integrals for Bessel Functions on Symmetric Cones,” Studies in Applied Mathematics, vol. 141, no. 4, pp. 474–500, 2018, doi: 10.1111/sapm.12217.' mla: 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. short: M. Rösler, M. Voit, Studies in Applied Mathematics 141 (2018) 474–500. date_created: 2023-01-20T09:24:36Z date_updated: 2023-01-24T22:15:51Z department: - _id: '555' doi: 10.1111/sapm.12217 intvolume: ' 141' issue: '4' keyword: - Applied Mathematics language: - iso: eng page: 474-500 publication: Studies in Applied Mathematics publication_identifier: issn: - 0022-2526 publication_status: published publisher: Wiley status: public title: Beta Distributions and Sonine Integrals for Bessel Functions on Symmetric Cones type: journal_article user_id: '93826' volume: 141 year: '2018' ... --- _id: '37662' author: - first_name: Margit full_name: Rösler, Margit id: '37390' last_name: Rösler - first_name: Piotr full_name: Graczyk, Piotr last_name: Graczyk - first_name: Tomasz full_name: Luks, Tomasz last_name: Luks citation: ama: 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 apa: 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 bibtex: '@article{Rösler_Graczyk_Luks_2018, title={On the Green Function and Poisson Integrals of the Dunkl Laplacian}, volume={48}, DOI={10.1007/s11118-017-9638-6}, number={3}, journal={Potential Analysis}, publisher={Springer Science and Business Media LLC}, author={Rösler, Margit and Graczyk, Piotr and Luks, Tomasz}, year={2018}, pages={337–360} }' chicago: '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.' ieee: 'M. Rösler, P. Graczyk, and T. Luks, “On the Green Function and Poisson Integrals of the Dunkl Laplacian,” Potential Analysis, vol. 48, no. 3, pp. 337–360, 2018, doi: 10.1007/s11118-017-9638-6.' mla: 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. short: M. Rösler, P. Graczyk, T. Luks, Potential Analysis 48 (2018) 337–360. date_created: 2023-01-20T09:25:41Z date_updated: 2023-01-24T22:16:02Z department: - _id: '555' doi: 10.1007/s11118-017-9638-6 intvolume: ' 48' issue: '3' keyword: - Analysis language: - iso: eng page: 337-360 publication: Potential Analysis publication_identifier: issn: - 0926-2601 - 1572-929X publication_status: published publisher: Springer Science and Business Media LLC status: public title: On the Green Function and Poisson Integrals of the Dunkl Laplacian type: journal_article user_id: '37390' volume: 48 year: '2018' ... --- _id: '40050' author: - first_name: Boris full_name: Baeumer, Boris last_name: Baeumer - first_name: Tomasz full_name: Luks, Tomasz id: '58312' last_name: Luks - first_name: Mark M. full_name: Meerschaert, Mark M. last_name: Meerschaert citation: ama: Baeumer B, Luks T, Meerschaert MM. Space‐time fractional Dirichlet problems. Mathematische Nachrichten. 2018;291(17-18):2516-2535. doi:10.1002/mana.201700111 apa: 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 bibtex: '@article{Baeumer_Luks_Meerschaert_2018, title={Space‐time fractional Dirichlet problems}, volume={291}, DOI={10.1002/mana.201700111}, number={17–18}, journal={Mathematische Nachrichten}, publisher={Wiley}, author={Baeumer, Boris and Luks, Tomasz and Meerschaert, Mark M.}, year={2018}, pages={2516–2535} }' chicago: '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.' ieee: 'B. Baeumer, T. Luks, and M. M. Meerschaert, “Space‐time fractional Dirichlet problems,” Mathematische Nachrichten, vol. 291, no. 17–18, pp. 2516–2535, 2018, doi: 10.1002/mana.201700111.' mla: 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. short: B. Baeumer, T. Luks, M.M. Meerschaert, Mathematische Nachrichten 291 (2018) 2516–2535. date_created: 2023-01-25T15:11:01Z date_updated: 2023-01-26T17:19:39Z department: - _id: '555' doi: 10.1002/mana.201700111 intvolume: ' 291' issue: 17-18 keyword: - General Mathematics language: - iso: eng page: 2516-2535 publication: Mathematische Nachrichten publication_identifier: issn: - 0025-584X - 1522-2616 publication_status: published publisher: Wiley status: public title: Space‐time fractional Dirichlet problems type: journal_article user_id: '58312' volume: 291 year: '2018' ... --- _id: '40065' author: - first_name: Tomasz full_name: Luks, Tomasz id: '58312' last_name: Luks - first_name: Yimin full_name: Xiao, Yimin last_name: Xiao citation: ama: 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 apa: 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 bibtex: '@article{Luks_Xiao_2017, title={On the Double Points of Operator Stable Lévy Processes}, volume={30}, DOI={10.1007/s10959-015-0638-4}, number={1}, journal={Journal of Theoretical Probability}, publisher={Springer Science and Business Media LLC}, author={Luks, Tomasz and Xiao, Yimin}, year={2017}, pages={297–325} }' chicago: '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.' ieee: 'T. Luks and Y. Xiao, “On the Double Points of Operator Stable Lévy Processes,” Journal of Theoretical Probability, vol. 30, no. 1, pp. 297–325, 2017, doi: 10.1007/s10959-015-0638-4.' mla: 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. short: T. Luks, Y. Xiao, Journal of Theoretical Probability 30 (2017) 297–325. date_created: 2023-01-25T15:36:07Z date_updated: 2023-01-26T17:29:43Z department: - _id: '555' doi: 10.1007/s10959-015-0638-4 extern: '1' intvolume: ' 30' issue: '1' language: - iso: eng page: 297-325 publication: Journal of Theoretical Probability publication_identifier: issn: - 0894-9840 - 1572-9230 publication_status: published publisher: Springer Science and Business Media LLC status: public title: On the Double Points of Operator Stable Lévy Processes type: journal_article user_id: '58312' volume: 30 year: '2017' ... --- _id: '38032' author: - first_name: Margit full_name: Rösler, Margit id: '37390' last_name: Rösler - first_name: Michael full_name: Voit, Michael last_name: Voit citation: ama: 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 apa: 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 bibtex: '@article{Rösler_Voit_2016, title={Integral representation and sharp asymptotic results for some Heckman-Opdam hypergeometric functions of type BC}, volume={368}, DOI={10.48550/ARXIV.1402.5793}, number={8}, journal={Transactions of the American Mathematical Society}, publisher={ American Mathematical Society}, author={Rösler, Margit and Voit, Michael}, year={2016}, pages={6005–6032} }' chicago: '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.' ieee: 'M. Rösler and M. 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, pp. 6005–6032, 2016, doi: 10.48550/ARXIV.1402.5793.' mla: 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. short: M. Rösler, M. Voit, Transactions of the American Mathematical Society 368 (2016) 6005–6032. date_created: 2023-01-23T08:09:20Z date_updated: 2023-01-24T22:15:46Z department: - _id: '555' doi: 10.48550/ARXIV.1402.5793 intvolume: ' 368' issue: '8' language: - iso: eng page: 6005-6032 publication: Transactions of the American Mathematical Society publication_identifier: issn: - 1088-6850 publication_status: published publisher: ' American Mathematical Society' status: public title: Integral representation and sharp asymptotic results for some Heckman-Opdam hypergeometric functions of type BC type: journal_article user_id: '37390' volume: 368 year: '2016' ...