--- _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: '54820' abstract: - lang: eng text: "We study the asymptotic behaviour of Bessel functions associated of root\r\nsystems of type $A_{n-1}$ and type $B_n$ with positive multiplicities as the\r\nrank $n$ tends to infinity. In both cases, we characterize the possible limit\r\nfunctions and the Vershik-Kerov type sequences of spectral parameters for which\r\nsuch limits exist. In the type $A$ case, this gives a new and very natural\r\napproach to recent results by Assiotis and Najnudel in the context of\r\n$\\beta$-ensembles in random matrix theory. These results generalize known facts\r\nabout the approximation of the (positive-definite) Olshanski spherical\r\nfunctions of the space of infinite-dimensional Hermitian matrices over $\\mathbb\r\nF = \\mathbb R, \\mathbb C, \\mathbb H$ (with the action of the associated\r\ninfinite unitary group) by spherical functions of finite-dimensional spaces of\r\nHermitian matrices. In the type B case, our results include asymptotic results\r\nfor the spherical functions associated with the Cartan motion groups of\r\nnon-compact Grassmannians as the rank goes to infinity, and a classification of\r\nthe Olshanski spherical functions of the associated inductive limits." 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. Limits of Bessel functions for root systems as the rank tends to infinity. Indagationes Mathematicae. Published online 2024. doi:10.1016/j.indag.2024.05.004 apa: Brennecken, D., & Rösler, M. (2024). Limits of Bessel functions for root systems as the rank tends to infinity. Indagationes Mathematicae. https://doi.org/10.1016/j.indag.2024.05.004 bibtex: '@article{Brennecken_Rösler_2024, title={Limits of Bessel functions for root systems as the rank tends to infinity}, DOI={10.1016/j.indag.2024.05.004}, journal={Indagationes Mathematicae}, publisher={Elsevier}, author={Brennecken, Dominik and Rösler, Margit}, year={2024} }' chicago: Brennecken, Dominik, and Margit Rösler. “Limits of Bessel Functions for Root Systems as the Rank Tends to Infinity.” Indagationes Mathematicae, 2024. https://doi.org/10.1016/j.indag.2024.05.004. ieee: 'D. Brennecken and M. Rösler, “Limits of Bessel functions for root systems as the rank tends to infinity,” Indagationes Mathematicae, 2024, doi: 10.1016/j.indag.2024.05.004.' mla: Brennecken, Dominik, and Margit Rösler. “Limits of Bessel Functions for Root Systems as the Rank Tends to Infinity.” Indagationes Mathematicae, Elsevier, 2024, doi:10.1016/j.indag.2024.05.004. short: D. Brennecken, M. Rösler, Indagationes Mathematicae (2024). date_created: 2024-06-19T08:46:08Z date_updated: 2024-07-15T09:09:55Z doi: 10.1016/j.indag.2024.05.004 language: - iso: eng publication: Indagationes Mathematicae publication_status: epub_ahead publisher: Elsevier status: public title: Limits of Bessel functions for root systems as the rank tends to infinity type: journal_article user_id: '82981' 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: '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: '37649' abstract: - lang: eng text: "Abstract\r\n Let $V_k$ denote Dunkl’s intertwining operator associated with some root system $R$ and multiplicity $k$. For two multiplicities $k, k^{\\prime }$ on $R$, we study the intertwiner $V_{k^{\\prime },k} = V_{k^{\\prime }}\\circ V_k^{-1}$ between Dunkl operators with multiplicities $k$ and $k^{\\prime }.$ It has been a long-standing conjecture that $V_{k^{\\prime },k}$ is positive if $k^{\\prime } \\geq k \\geq 0.$ We disprove this conjecture by constructing counterexamples for root system $B_n$. This matter is closely related to the existence of Sonine-type integral representations between Dunkl kernels and Bessel functions with different multiplicities. In our examples, such Sonine formulas do not exist. As a consequence, we obtain necessary conditions on Sonine formulas for Heckman–Opdam hypergeometric functions of type $BC_n$ and conditions for positive branching coefficients between multivariable Jacobi polynomials." 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. Sonine Formulas and Intertwining Operators in Dunkl Theory. International Mathematics Research Notices. 2021;2021(17):13202-13230. doi:10.1093/imrn/rnz313 apa: Rösler, M., & Voit, M. (2021). Sonine Formulas and Intertwining Operators in Dunkl Theory. International Mathematics Research Notices, 2021(17), 13202–13230. https://doi.org/10.1093/imrn/rnz313 bibtex: '@article{Rösler_Voit_2021, title={Sonine Formulas and Intertwining Operators in Dunkl Theory}, volume={2021}, DOI={10.1093/imrn/rnz313}, number={17}, journal={International Mathematics Research Notices}, publisher={Oxford University Press (OUP)}, author={Rösler, Margit and Voit, Michael}, year={2021}, pages={13202–13230} }' chicago: 'Rösler, Margit, and Michael Voit. “Sonine Formulas and Intertwining Operators in Dunkl Theory.” International Mathematics Research Notices 2021, no. 17 (2021): 13202–30. https://doi.org/10.1093/imrn/rnz313.' ieee: 'M. Rösler and M. Voit, “Sonine Formulas and Intertwining Operators in Dunkl Theory,” International Mathematics Research Notices, vol. 2021, no. 17, pp. 13202–13230, 2021, doi: 10.1093/imrn/rnz313.' mla: Rösler, Margit, and Michael Voit. “Sonine Formulas and Intertwining Operators in Dunkl Theory.” International Mathematics Research Notices, vol. 2021, no. 17, Oxford University Press (OUP), 2021, pp. 13202–30, doi:10.1093/imrn/rnz313. short: M. Rösler, M. Voit, International Mathematics Research Notices 2021 (2021) 13202–13230. date_created: 2023-01-20T08:50:07Z date_updated: 2023-01-24T22:16:12Z doi: 10.1093/imrn/rnz313 intvolume: ' 2021' issue: '17' keyword: - General Mathematics language: - iso: eng page: 13202-13230 publication: International Mathematics Research Notices publication_identifier: issn: - 1073-7928 - 1687-0247 publication_status: published publisher: Oxford University Press (OUP) status: public title: Sonine Formulas and Intertwining Operators in Dunkl Theory type: journal_article user_id: '37390' volume: 2021 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: '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: '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' ... --- _id: '37663' 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. A multivariate version of the disk convolution. Journal of Mathematical Analysis and Applications. 2016;435(1):701-717. doi:10.1016/j.jmaa.2015.10.062 apa: 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 bibtex: '@article{Rösler_Voit_2016, title={A multivariate version of the disk convolution}, volume={435}, DOI={10.1016/j.jmaa.2015.10.062}, number={1}, journal={Journal of Mathematical Analysis and Applications}, publisher={Elsevier BV}, author={Rösler, Margit and Voit, Michael}, year={2016}, pages={701–717} }' chicago: '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.' ieee: 'M. Rösler and M. Voit, “A multivariate version of the disk convolution,” Journal of Mathematical Analysis and Applications, vol. 435, no. 1, pp. 701–717, 2016, doi: 10.1016/j.jmaa.2015.10.062.' mla: 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. short: M. Rösler, M. Voit, Journal of Mathematical Analysis and Applications 435 (2016) 701–717. date_created: 2023-01-20T09:26:43Z date_updated: 2023-01-24T22:15:56Z department: - _id: '555' doi: 10.1016/j.jmaa.2015.10.062 intvolume: ' 435' issue: '1' keyword: - Applied Mathematics - Analysis language: - iso: eng page: 701-717 publication: Journal of Mathematical Analysis and Applications publication_identifier: issn: - 0022-247X publication_status: published publisher: Elsevier BV status: public title: A multivariate version of the disk convolution type: journal_article user_id: '37390' volume: 435 year: '2016' ... --- _id: '38037' 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. A Central Limit Theorem for Random Walks on the Dual of a Compact Grassmannian. Symmetry, Integrability and Geometry: Methods and Applications. 2015;11(013):18pp. doi:10.3842/sigma.2015.013' apa: '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' bibtex: '@article{Rösler_Voit_2015, title={A Central Limit Theorem for Random Walks on the Dual of a Compact Grassmannian}, volume={11}, DOI={10.3842/sigma.2015.013}, number={013}, journal={Symmetry, Integrability and Geometry: Methods and Applications}, publisher={SIGMA (Symmetry, Integrability and Geometry: Methods and Application)}, author={Rösler, Margit and Voit, Michael}, year={2015}, pages={18pp} }' chicago: '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.' ieee: 'M. Rösler and M. 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, p. 18pp, 2015, doi: 10.3842/sigma.2015.013.' mla: '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.' short: 'M. Rösler, M. Voit, Symmetry, Integrability and Geometry: Methods and Applications 11 (2015) 18pp.' date_created: 2023-01-23T08:18:48Z date_updated: 2023-01-24T22:15:37Z department: - _id: '555' doi: 10.3842/sigma.2015.013 intvolume: ' 11' issue: '013' keyword: - Geometry and Topology - Mathematical Physics - Analysis language: - iso: eng page: 18pp publication: 'Symmetry, Integrability and Geometry: Methods and Applications' publication_identifier: issn: - 1815-0659 publication_status: published publisher: 'SIGMA (Symmetry, Integrability and Geometry: Methods and Application)' status: public title: A Central Limit Theorem for Random Walks on the Dual of a Compact Grassmannian type: journal_article user_id: '93826' volume: 11 year: '2015' ... --- _id: '37667' author: - first_name: Margit full_name: Rösler, Margit id: '37390' last_name: Rösler - first_name: Heiko full_name: Remling, Heiko last_name: Remling citation: ama: Rösler M, Remling H. Convolution algebras for Heckman–Opdam polynomials derived from compact Grassmannians. Journal of Approximation Theory. 2014;197:30-48. doi:10.1016/j.jat.2014.07.005 apa: 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 bibtex: '@article{Rösler_Remling_2014, title={Convolution algebras for Heckman–Opdam polynomials derived from compact Grassmannians}, volume={197}, DOI={10.1016/j.jat.2014.07.005}, journal={Journal of Approximation Theory}, publisher={Elsevier BV}, author={Rösler, Margit and Remling, Heiko}, year={2014}, pages={30–48} }' chicago: '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.' ieee: 'M. Rösler and H. Remling, “Convolution algebras for Heckman–Opdam polynomials derived from compact Grassmannians,” Journal of Approximation Theory, vol. 197, pp. 30–48, 2014, doi: 10.1016/j.jat.2014.07.005.' mla: 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. short: M. Rösler, H. Remling, Journal of Approximation Theory 197 (2014) 30–48. date_created: 2023-01-20T09:30:22Z date_updated: 2023-01-24T22:15:33Z department: - _id: '555' doi: 10.1016/j.jat.2014.07.005 intvolume: ' 197' keyword: - Applied Mathematics - General Mathematics - Numerical Analysis - Analysis language: - iso: eng page: 30-48 publication: Journal of Approximation Theory publication_identifier: issn: - 0021-9045 publication_status: published publisher: Elsevier BV status: public title: Convolution algebras for Heckman–Opdam polynomials derived from compact Grassmannians type: journal_article user_id: '93826' volume: 197 year: '2014' ... --- _id: '37672' abstract: - lang: eng text: AbstractLet

${F}_{BC} (\lambda , k; t)$

be the Heckman–Opdam hypergeometric function of type BC with multiplicities

$k= ({k}_{1} , {k}_{2} , {k}_{3} )$

and weighted half-sum

$\rho (k)$

of positive roots. We prove that

${F}_{BC} (\lambda + \rho (k), k; t)$

converges as

${k}_{1} + {k}_{2} \rightarrow \infty $

and

${k}_{1} / {k}_{2} \rightarrow \infty $

to a function of type A for

$t\in { \mathbb{R} }^{n} $

and

$\lambda \in { \mathbb{C} }^{n} $

. This limit is obtained from a corresponding result for Jacobi polynomials of type BC, which is proven for a slightly more general limit behavior of the multiplicities, using an explicit representation of Jacobi polynomials in terms of Jack polynomials. Our limits include limit transitions for the spherical functions of non-compact Grassmann manifolds over one of the fields

$ \mathbb{F} = \mathbb{R} , \mathbb{C} , \mathbb{H} $

when the rank is fixed and the dimension tends to infinity. The limit functions turn out to be exactly the spherical functions of the corresponding infinite-dimensional Grassmann manifold in the sense of Olshanski. author: - first_name: Margit full_name: Rösler, Margit id: '37390' last_name: Rösler - first_name: Tom full_name: Koornwinder, Tom last_name: Koornwinder - first_name: Michael full_name: Voit, Michael last_name: Voit citation: ama: Rösler M, Koornwinder T, Voit M. Limit transition between hypergeometric functions of type BC and type A. Compositio Mathematica. 2013;149(8):1381-1400. doi:10.1112/s0010437x13007045 apa: 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 bibtex: '@article{Rösler_Koornwinder_Voit_2013, title={Limit transition between hypergeometric functions of type BC and type A}, volume={149}, DOI={10.1112/s0010437x13007045}, number={8}, journal={Compositio Mathematica}, publisher={Wiley}, author={Rösler, Margit and Koornwinder, Tom and Voit, Michael}, year={2013}, pages={1381–1400} }' chicago: '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.' ieee: 'M. Rösler, T. Koornwinder, and M. Voit, “Limit transition between hypergeometric functions of type BC and type A,” Compositio Mathematica, vol. 149, no. 8, pp. 1381–1400, 2013, doi: 10.1112/s0010437x13007045.' mla: 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. short: M. Rösler, T. Koornwinder, M. Voit, Compositio Mathematica 149 (2013) 1381–1400. date_created: 2023-01-20T09:37:16Z date_updated: 2023-01-24T22:15:13Z department: - _id: '555' doi: 10.1112/s0010437x13007045 intvolume: ' 149' issue: '8' keyword: - Algebra and Number Theory language: - iso: eng page: 1381-1400 publication: Compositio Mathematica publication_identifier: issn: - 0010-437X - 1570-5846 publication_status: published publisher: Wiley status: public title: Limit transition between hypergeometric functions of type BC and type A type: journal_article user_id: '93826' volume: 149 year: '2013' ... --- _id: '38038' 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. Olshanski spherical functions for infinite dimensional motion groups of fixed rank. Journal of Lie Theory 23. 2013;(4):899--920. doi:10.48550/ARXIV.1210.1351 apa: 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 bibtex: '@article{Rösler_Voit_2013, title={Olshanski spherical functions for infinite dimensional motion groups of fixed rank}, DOI={10.48550/ARXIV.1210.1351}, number={4}, journal={Journal of Lie Theory 23}, publisher={Heldermann }, author={Rösler, Margit and Voit, Michael}, year={2013}, pages={899--920} }' chicago: '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.' ieee: 'M. Rösler and M. Voit, “Olshanski spherical functions for infinite dimensional motion groups of fixed rank,” Journal of Lie Theory 23, no. 4, pp. 899--920, 2013, doi: 10.48550/ARXIV.1210.1351.' mla: 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. short: M. Rösler, M. Voit, Journal of Lie Theory 23 (2013) 899--920. date_created: 2023-01-23T08:26:17Z date_updated: 2023-01-24T22:15:26Z department: - _id: '555' doi: 10.48550/ARXIV.1210.1351 issue: '4' language: - iso: eng page: 899--920 publication: Journal of Lie Theory 23 publication_status: published publisher: 'Heldermann ' status: public title: Olshanski spherical functions for infinite dimensional motion groups of fixed rank type: journal_article user_id: '93826' year: '2013' ... --- _id: '39911' author: - first_name: Margit full_name: Rösler, Margit id: '37390' last_name: Rösler - first_name: H. full_name: Remling, H. last_name: Remling citation: ama: Rösler M, Remling H. The Heat Semigroup in the Compact Heckman-Opdam Setting and the Segal-Bargmann Transform. International Mathematics Research Notices. 2011;(18):4200–4225. doi:10.1093/imrn/rnq239 apa: 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 bibtex: '@article{Rösler_Remling_2011, title={The Heat Semigroup in the Compact Heckman-Opdam Setting and the Segal-Bargmann Transform}, DOI={10.1093/imrn/rnq239}, number={18}, journal={International Mathematics Research Notices}, publisher={Oxford University Press (OUP)}, author={Rösler, Margit and Remling, H.}, year={2011}, pages={4200–4225} }' chicago: '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.' ieee: 'M. Rösler and H. Remling, “The Heat Semigroup in the Compact Heckman-Opdam Setting and the Segal-Bargmann Transform,” International Mathematics Research Notices, no. 18, pp. 4200–4225, 2011, doi: 10.1093/imrn/rnq239.' mla: 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. short: M. Rösler, H. Remling, International Mathematics Research Notices (2011) 4200–4225. date_created: 2023-01-25T09:26:07Z date_updated: 2023-01-26T17:50:05Z department: - _id: '555' doi: 10.1093/imrn/rnq239 extern: '1' issue: '18' keyword: - General Mathematics language: - iso: eng page: 4200–4225 publication: International Mathematics Research Notices publication_identifier: issn: - 1073-7928 - 1687-0247 publication_status: published publisher: Oxford University Press (OUP) status: public title: The Heat Semigroup in the Compact Heckman-Opdam Setting and the Segal-Bargmann Transform type: journal_article user_id: '93826' year: '2011' ... --- _id: '39921' 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. Limit theorems for radial random walks on p × q-matrices as p tends to infinity. Mathematische Nachrichten. 2011;284(1):87-104. doi:10.1002/mana.200710235 apa: 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 bibtex: '@article{Rösler_Voit_2011, title={Limit theorems for radial random walks on p × q-matrices as p tends to infinity}, volume={284}, DOI={10.1002/mana.200710235}, number={1}, journal={Mathematische Nachrichten}, publisher={Wiley}, author={Rösler, Margit and Voit, Michael}, year={2011}, pages={87–104} }' chicago: '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.' ieee: 'M. Rösler and M. Voit, “Limit theorems for radial random walks on p × q-matrices as p tends to infinity,” Mathematische Nachrichten, vol. 284, no. 1, pp. 87–104, 2011, doi: 10.1002/mana.200710235.' mla: 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. short: M. Rösler, M. Voit, Mathematische Nachrichten 284 (2011) 87–104. date_created: 2023-01-25T09:30:21Z date_updated: 2023-01-26T17:50:51Z department: - _id: '555' doi: 10.1002/mana.200710235 extern: '1' intvolume: ' 284' issue: '1' keyword: - General Mathematics language: - iso: eng page: 87-104 publication: Mathematische Nachrichten publication_identifier: issn: - 0025-584X publication_status: published publisher: Wiley status: public title: Limit theorems for radial random walks on p × q-matrices as p tends to infinity type: journal_article user_id: '93826' volume: 284 year: '2011' ... --- _id: '39924' author: - first_name: Margit full_name: Rösler, Margit id: '37390' last_name: Rösler citation: ama: Rösler M. Positive convolution structure for a class of Heckman–Opdam hypergeometric functions of type BC. Journal of Functional Analysis. 2010;258(8):2779-2800. doi:10.1016/j.jfa.2009.12.007 apa: 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 bibtex: '@article{Rösler_2010, title={Positive convolution structure for a class of Heckman–Opdam hypergeometric functions of type BC}, volume={258}, DOI={10.1016/j.jfa.2009.12.007}, number={8}, journal={Journal of Functional Analysis}, publisher={Elsevier BV}, author={Rösler, Margit}, year={2010}, pages={2779–2800} }' chicago: '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.' ieee: 'M. Rösler, “Positive convolution structure for a class of Heckman–Opdam hypergeometric functions of type BC,” Journal of Functional Analysis, vol. 258, no. 8, pp. 2779–2800, 2010, doi: 10.1016/j.jfa.2009.12.007.' mla: 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. short: M. Rösler, Journal of Functional Analysis 258 (2010) 2779–2800. date_created: 2023-01-25T09:32:04Z date_updated: 2023-01-26T17:48:56Z department: - _id: '555' doi: 10.1016/j.jfa.2009.12.007 extern: '1' intvolume: ' 258' issue: '8' keyword: - Analysis language: - iso: eng page: 2779-2800 publication: Journal of Functional Analysis publication_identifier: issn: - 0022-1236 publication_status: published publisher: Elsevier BV status: public title: Positive convolution structure for a class of Heckman–Opdam hypergeometric functions of type BC type: journal_article user_id: '93826' volume: 258 year: '2010' ... --- _id: '39950' author: - first_name: Margit full_name: Rösler, Margit id: '37390' last_name: Rösler citation: ama: 'Rösler M. Convolution algebras for multivariable Bessel functions. In: Infinite Dimensional Harmonic Analysis IV. World Scientific; 2009:255–271. doi:10.1142/9789812832825_0017' apa: Rösler, M. (2009). Convolution algebras for multivariable Bessel functions. Infinite Dimensional Harmonic Analysis IV, 255–271. https://doi.org/10.1142/9789812832825_0017 bibtex: '@inproceedings{Rösler_2009, title={Convolution algebras for multivariable Bessel functions}, DOI={10.1142/9789812832825_0017}, booktitle={Infinite Dimensional Harmonic Analysis IV}, publisher={World Scientific}, author={Rösler, Margit}, year={2009}, pages={255–271} }' chicago: 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. ieee: 'M. Rösler, “Convolution algebras for multivariable Bessel functions,” in Infinite Dimensional Harmonic Analysis IV, 2009, pp. 255–271, doi: 10.1142/9789812832825_0017.' mla: Rösler, Margit. “Convolution Algebras for Multivariable Bessel Functions.” Infinite Dimensional Harmonic Analysis IV, World Scientific, 2009, pp. 255–271, doi:10.1142/9789812832825_0017. short: 'M. Rösler, in: Infinite Dimensional Harmonic Analysis IV, World Scientific, 2009, pp. 255–271.' date_created: 2023-01-25T10:01:16Z date_updated: 2023-01-26T17:48:43Z department: - _id: '555' doi: 10.1142/9789812832825_0017 extern: '1' language: - iso: eng page: ' 255–271' publication: Infinite Dimensional Harmonic Analysis IV publication_status: published publisher: World Scientific status: public title: Convolution algebras for multivariable Bessel functions type: conference user_id: '37390' year: '2009' ...