--- _id: '31296' author: - first_name: Sonja full_name: Barkhofen, Sonja id: '48188' last_name: Barkhofen - first_name: F full_name: Faure, F last_name: Faure - first_name: Tobias full_name: Weich, Tobias id: '49178' last_name: Weich orcid: 0000-0002-9648-6919 citation: ama: Barkhofen S, Faure F, Weich T. Resonance chains in open systems, generalized zeta functions and clustering of the length spectrum. Nonlinearity. 2014;27(8):1829-1858. doi:10.1088/0951-7715/27/8/1829 apa: Barkhofen, S., Faure, F., & Weich, T. (2014). Resonance chains in open systems, generalized zeta functions and clustering of the length spectrum. Nonlinearity, 27(8), 1829–1858. https://doi.org/10.1088/0951-7715/27/8/1829 bibtex: '@article{Barkhofen_Faure_Weich_2014, title={Resonance chains in open systems, generalized zeta functions and clustering of the length spectrum}, volume={27}, DOI={10.1088/0951-7715/27/8/1829}, number={8}, journal={Nonlinearity}, publisher={IOP Publishing}, author={Barkhofen, Sonja and Faure, F and Weich, Tobias}, year={2014}, pages={1829–1858} }' chicago: 'Barkhofen, Sonja, F Faure, and Tobias Weich. “Resonance Chains in Open Systems, Generalized Zeta Functions and Clustering of the Length Spectrum.” Nonlinearity 27, no. 8 (2014): 1829–58. https://doi.org/10.1088/0951-7715/27/8/1829.' ieee: 'S. Barkhofen, F. Faure, and T. Weich, “Resonance chains in open systems, generalized zeta functions and clustering of the length spectrum,” Nonlinearity, vol. 27, no. 8, pp. 1829–1858, 2014, doi: 10.1088/0951-7715/27/8/1829.' mla: Barkhofen, Sonja, et al. “Resonance Chains in Open Systems, Generalized Zeta Functions and Clustering of the Length Spectrum.” Nonlinearity, vol. 27, no. 8, IOP Publishing, 2014, pp. 1829–58, doi:10.1088/0951-7715/27/8/1829. short: S. Barkhofen, F. Faure, T. Weich, Nonlinearity 27 (2014) 1829–1858. date_created: 2022-05-17T12:58:25Z date_updated: 2023-01-19T08:56:12Z department: - _id: '10' - _id: '548' - _id: '288' doi: 10.1088/0951-7715/27/8/1829 external_id: arxiv: - '1403.7771 ' intvolume: ' 27' issue: '8' keyword: - Applied Mathematics - General Physics and Astronomy - Mathematical Physics - Statistical and Nonlinear Physics language: - iso: eng page: 1829-1858 publication: Nonlinearity publication_identifier: issn: - 0951-7715 - 1361-6544 publication_status: published publisher: IOP Publishing status: public title: Resonance chains in open systems, generalized zeta functions and clustering of the length spectrum type: journal_article user_id: '48188' volume: 27 year: '2014' ... --- _id: '31297' article_number: '033029' author: - first_name: Tobias full_name: Weich, Tobias id: '49178' last_name: Weich orcid: 0000-0002-9648-6919 - first_name: Sonja full_name: Barkhofen, Sonja id: '48188' last_name: Barkhofen - first_name: U full_name: Kuhl, U last_name: Kuhl - first_name: C full_name: Poli, C last_name: Poli - first_name: H full_name: Schomerus, H last_name: Schomerus citation: ama: Weich T, Barkhofen S, Kuhl U, Poli C, Schomerus H. Formation and interaction of resonance chains in the open three-disk system. New Journal of Physics. 2014;16(3). doi:10.1088/1367-2630/16/3/033029 apa: Weich, T., Barkhofen, S., Kuhl, U., Poli, C., & Schomerus, H. (2014). Formation and interaction of resonance chains in the open three-disk system. New Journal of Physics, 16(3), Article 033029. https://doi.org/10.1088/1367-2630/16/3/033029 bibtex: '@article{Weich_Barkhofen_Kuhl_Poli_Schomerus_2014, title={Formation and interaction of resonance chains in the open three-disk system}, volume={16}, DOI={10.1088/1367-2630/16/3/033029}, number={3033029}, journal={New Journal of Physics}, publisher={IOP Publishing}, author={Weich, Tobias and Barkhofen, Sonja and Kuhl, U and Poli, C and Schomerus, H}, year={2014} }' chicago: Weich, Tobias, Sonja Barkhofen, U Kuhl, C Poli, and H Schomerus. “Formation and Interaction of Resonance Chains in the Open Three-Disk System.” New Journal of Physics 16, no. 3 (2014). https://doi.org/10.1088/1367-2630/16/3/033029. ieee: 'T. Weich, S. Barkhofen, U. Kuhl, C. Poli, and H. Schomerus, “Formation and interaction of resonance chains in the open three-disk system,” New Journal of Physics, vol. 16, no. 3, Art. no. 033029, 2014, doi: 10.1088/1367-2630/16/3/033029.' mla: Weich, Tobias, et al. “Formation and Interaction of Resonance Chains in the Open Three-Disk System.” New Journal of Physics, vol. 16, no. 3, 033029, IOP Publishing, 2014, doi:10.1088/1367-2630/16/3/033029. short: T. Weich, S. Barkhofen, U. Kuhl, C. Poli, H. Schomerus, New Journal of Physics 16 (2014). date_created: 2022-05-17T12:59:49Z date_updated: 2023-01-24T08:07:57Z department: - _id: '10' - _id: '548' doi: 10.1088/1367-2630/16/3/033029 external_id: arxiv: - '1311.5128 ' intvolume: ' 16' issue: '3' keyword: - General Physics and Astronomy language: - iso: eng publication: New Journal of Physics publication_identifier: issn: - 1367-2630 publication_status: published publisher: IOP Publishing status: public title: Formation and interaction of resonance chains in the open three-disk system type: journal_article user_id: '48188' volume: 16 year: '2014' ... --- _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: '40068' author: - first_name: Krzysztof full_name: Bogdan, Krzysztof last_name: Bogdan - first_name: Bartłomiej full_name: Dyda, Bartłomiej last_name: Dyda - first_name: Tomasz full_name: Luks, Tomasz id: '58312' last_name: Luks citation: ama: Bogdan K, Dyda B, Luks T. On Hardy spaces of local and nonlocal operators. Hiroshima Mathematical Journal. 2014;44(2):193-215. doi:10.32917/hmj/1408972907 apa: Bogdan, K., Dyda, B., & Luks, T. (2014). On Hardy spaces of local and nonlocal operators. Hiroshima Mathematical Journal, 44(2), 193–215. https://doi.org/10.32917/hmj/1408972907 bibtex: '@article{Bogdan_Dyda_Luks_2014, title={On Hardy spaces of local and nonlocal operators}, volume={44}, DOI={10.32917/hmj/1408972907}, number={2}, journal={Hiroshima Mathematical Journal}, publisher={Hiroshima University - Department of Mathematics}, author={Bogdan, Krzysztof and Dyda, Bartłomiej and Luks, Tomasz}, year={2014}, pages={193–215} }' chicago: 'Bogdan, Krzysztof, Bartłomiej Dyda, and Tomasz Luks. “On Hardy Spaces of Local and Nonlocal Operators.” Hiroshima Mathematical Journal 44, no. 2 (2014): 193–215. https://doi.org/10.32917/hmj/1408972907.' ieee: 'K. Bogdan, B. Dyda, and T. Luks, “On Hardy spaces of local and nonlocal operators,” Hiroshima Mathematical Journal, vol. 44, no. 2, pp. 193–215, 2014, doi: 10.32917/hmj/1408972907.' mla: Bogdan, Krzysztof, et al. “On Hardy Spaces of Local and Nonlocal Operators.” Hiroshima Mathematical Journal, vol. 44, no. 2, Hiroshima University - Department of Mathematics, 2014, pp. 193–215, doi:10.32917/hmj/1408972907. short: K. Bogdan, B. Dyda, T. Luks, Hiroshima Mathematical Journal 44 (2014) 193–215. date_created: 2023-01-25T15:46:01Z date_updated: 2023-01-26T17:20:41Z department: - _id: '555' doi: 10.32917/hmj/1408972907 extern: '1' intvolume: ' 44' issue: '2' language: - iso: eng page: 193-215 publication: Hiroshima Mathematical Journal publication_identifier: issn: - 0018-2079 publication_status: published publisher: Hiroshima University - Department of Mathematics status: public title: On Hardy spaces of local and nonlocal operators type: journal_article user_id: '58312' volume: 44 year: '2014' ... --- _id: '64739' author: - first_name: Rafael full_name: Dahmen, Rafael last_name: Dahmen - first_name: Helge full_name: Glöckner, Helge id: '178' last_name: Glöckner - first_name: Alexander full_name: Schmeding, Alexander last_name: Schmeding citation: ama: Dahmen R, Glöckner H, Schmeding A. Complexifications of infinite-dimensional manifolds and new constructions of infinite-dimensional Lie groups. Published online 2014. apa: Dahmen, R., Glöckner, H., & Schmeding, A. (2014). Complexifications of infinite-dimensional manifolds and new constructions of infinite-dimensional Lie groups. bibtex: '@article{Dahmen_Glöckner_Schmeding_2014, title={Complexifications of infinite-dimensional manifolds and new constructions of infinite-dimensional Lie groups}, author={Dahmen, Rafael and Glöckner, Helge and Schmeding, Alexander}, year={2014} }' chicago: Dahmen, Rafael, Helge Glöckner, and Alexander Schmeding. “Complexifications of Infinite-Dimensional Manifolds and New Constructions of Infinite-Dimensional Lie Groups,” 2014. ieee: R. Dahmen, H. Glöckner, and A. Schmeding, “Complexifications of infinite-dimensional manifolds and new constructions of infinite-dimensional Lie groups.” 2014. mla: Dahmen, Rafael, et al. Complexifications of Infinite-Dimensional Manifolds and New Constructions of Infinite-Dimensional Lie Groups. 2014. short: R. Dahmen, H. Glöckner, A. Schmeding, (2014). date_created: 2026-02-26T19:45:54Z date_updated: 2026-02-26T19:46:05Z department: - _id: '10' - _id: '87' - _id: '93' external_id: arxiv: - arXiv:1410.6468 language: - iso: eng status: public title: Complexifications of infinite-dimensional manifolds and new constructions of infinite-dimensional Lie groups type: preprint user_id: '178' year: '2014' ... --- _id: '64751' author: - first_name: Alexander full_name: Schmeding, Alexander last_name: Schmeding citation: ama: 'Schmeding A. Orbifold diffeomorphism groups. In: Geometric Methods in Physics. XXXII Workshop, Białowie\.Za, Poland, June 30 – July 6, 2013. Selected Papers. Cham: Birkhäuser/Springer; 2014:153–162. doi:10.1007/978-3-319-06248-8_13' apa: 'Schmeding, A. (2014). Orbifold diffeomorphism groups. In Geometric methods in physics. XXXII workshop, Białowie\.za, Poland, June 30 – July 6, 2013. Selected papers (pp. 153–162). Cham: Birkhäuser/Springer. https://doi.org/10.1007/978-3-319-06248-8_13' bibtex: '@inbook{Schmeding_2014, title={Orbifold diffeomorphism groups}, DOI={10.1007/978-3-319-06248-8_13}, booktitle={Geometric methods in physics. XXXII workshop, Białowie\.za, Poland, June 30 – July 6, 2013. Selected papers}, publisher={Cham: Birkhäuser/Springer}, author={Schmeding, Alexander}, year={2014}, pages={153–162} }' chicago: 'Schmeding, Alexander. “Orbifold Diffeomorphism Groups.” In Geometric Methods in Physics. XXXII Workshop, Białowie\.Za, Poland, June 30 – July 6, 2013. Selected Papers, 153–162. Cham: Birkhäuser/Springer, 2014. https://doi.org/10.1007/978-3-319-06248-8_13.' ieee: 'A. Schmeding, “Orbifold diffeomorphism groups,” in Geometric methods in physics. XXXII workshop, Białowie\.za, Poland, June 30 – July 6, 2013. Selected papers, Cham: Birkhäuser/Springer, 2014, pp. 153–162.' mla: 'Schmeding, Alexander. “Orbifold Diffeomorphism Groups.” Geometric Methods in Physics. XXXII Workshop, Białowie\.Za, Poland, June 30 – July 6, 2013. Selected Papers, Cham: Birkhäuser/Springer, 2014, pp. 153–162, doi:10.1007/978-3-319-06248-8_13.' short: 'A. Schmeding, in: Geometric Methods in Physics. XXXII Workshop, Białowie\.Za, Poland, June 30 – July 6, 2013. Selected Papers, Cham: Birkhäuser/Springer, 2014, pp. 153–162.' date_created: 2026-02-26T20:30:04Z date_updated: 2026-02-26T20:32:06Z department: - _id: '10' - _id: '87' - _id: '93' doi: 10.1007/978-3-319-06248-8_13 keyword: - 58D05 - '22E65' - 46T05 - 57R18 language: - iso: eng page: 153–162 publication: Geometric methods in physics. XXXII workshop, Białowie\.za, Poland, June 30 – July 6, 2013. Selected papers publication_identifier: isbn: - 978-3-319-06247-1; 978-3-319-06248-8 publisher: 'Cham: Birkhäuser/Springer' quality_controlled: '1' status: public title: Orbifold diffeomorphism groups type: book_chapter user_id: '178' year: '2014' ... --- _id: '64753' author: - first_name: Boris full_name: Walter, Boris last_name: Walter citation: ama: Walter B. Weighted Diffeomorphism Groups of Banach Spaces and Non-Compact Manifolds and Weighted Mapping Groups.; 2014. apa: Walter, B. (2014). Weighted diffeomorphism groups of Banach spaces and non-compact manifolds and weighted mapping groups. bibtex: '@book{Walter_2014, title={Weighted diffeomorphism groups of Banach spaces and non-compact manifolds and weighted mapping groups}, author={Walter, Boris}, year={2014} }' chicago: Walter, Boris. Weighted Diffeomorphism Groups of Banach Spaces and Non-Compact Manifolds and Weighted Mapping Groups, 2014. ieee: B. Walter, Weighted diffeomorphism groups of Banach spaces and non-compact manifolds and weighted mapping groups. 2014. mla: Walter, Boris. Weighted Diffeomorphism Groups of Banach Spaces and Non-Compact Manifolds and Weighted Mapping Groups. 2014. short: B. Walter, Weighted Diffeomorphism Groups of Banach Spaces and Non-Compact Manifolds and Weighted Mapping Groups, 2014. date_created: 2026-02-26T20:36:25Z date_updated: 2026-02-26T20:36:49Z department: - _id: '10' - _id: '87' - _id: '93' language: - iso: eng main_file_link: - open_access: '1' url: https://nbn-resolving.org/urn:nbn:de:hbz:466:2-14821 oa: '1' status: public supervisor: - first_name: Helge full_name: Glöckner, Helge id: '178' last_name: Glöckner title: Weighted diffeomorphism groups of Banach spaces and non-compact manifolds and weighted mapping groups type: dissertation user_id: '178' year: '2014' ... --- _id: '64758' author: - first_name: Jan Milan full_name: Eyni, Jan Milan last_name: Eyni citation: ama: Eyni JM. Universal continuous bilinear forms for compactly supported sections of Lie algebra bundles and universal continuous extensions of certain current algebras. Published online 2014. apa: Eyni, J. M. (2014). Universal continuous bilinear forms for compactly supported sections of Lie algebra bundles and universal continuous extensions of certain current algebras. bibtex: '@article{Eyni_2014, title={Universal continuous bilinear forms for compactly supported sections of Lie algebra bundles and universal continuous extensions of certain current algebras}, author={Eyni, Jan Milan}, year={2014} }' chicago: Eyni, Jan Milan. “Universal Continuous Bilinear Forms for Compactly Supported Sections of Lie Algebra Bundles and Universal Continuous Extensions of Certain Current Algebras,” 2014. ieee: J. M. Eyni, “Universal continuous bilinear forms for compactly supported sections of Lie algebra bundles and universal continuous extensions of certain current algebras.” 2014. mla: Eyni, Jan Milan. Universal Continuous Bilinear Forms for Compactly Supported Sections of Lie Algebra Bundles and Universal Continuous Extensions of Certain Current Algebras. 2014. short: J.M. Eyni, (2014). date_created: 2026-02-26T20:52:08Z date_updated: 2026-02-26T20:52:17Z department: - _id: '10' - _id: '87' - _id: '93' external_id: arxiv: - arXiv:1401.8154 language: - iso: eng status: public title: Universal continuous bilinear forms for compactly supported sections of Lie algebra bundles and universal continuous extensions of certain current algebras type: preprint user_id: '178' year: '2014' ... --- _id: '64759' author: - first_name: Jan Milan full_name: Eyni, Jan Milan last_name: Eyni citation: ama: Eyni JM. The Frobenius theorem for Banach distributions on infinite-dimensional manifolds and applications in infinite-dimensional Lie theory. Published online 2014. apa: Eyni, J. M. (2014). The Frobenius theorem for Banach distributions on infinite-dimensional manifolds and applications in infinite-dimensional Lie theory. bibtex: '@article{Eyni_2014, title={The Frobenius theorem for Banach distributions on infinite-dimensional manifolds and applications in infinite-dimensional Lie theory}, author={Eyni, Jan Milan}, year={2014} }' chicago: Eyni, Jan Milan. “The Frobenius Theorem for Banach Distributions on Infinite-Dimensional Manifolds and Applications in Infinite-Dimensional Lie Theory,” 2014. ieee: J. M. Eyni, “The Frobenius theorem for Banach distributions on infinite-dimensional manifolds and applications in infinite-dimensional Lie theory.” 2014. mla: Eyni, Jan Milan. The Frobenius Theorem for Banach Distributions on Infinite-Dimensional Manifolds and Applications in Infinite-Dimensional Lie Theory. 2014. short: J.M. Eyni, (2014). date_created: 2026-02-26T20:54:25Z date_updated: 2026-02-26T20:54:48Z department: - _id: '10' - _id: '87' - _id: '93' external_id: arxiv: - arXiv:1407.3166 language: - iso: eng status: public title: The Frobenius theorem for Banach distributions on infinite-dimensional manifolds and applications in infinite-dimensional Lie theory type: preprint user_id: '178' year: '2014' ... --- _id: '64755' author: - first_name: Boris full_name: Walter, Boris last_name: Walter citation: ama: Walter B. Differentiable mappings between weighted restricted products. Published online 2014. apa: Walter, B. (2014). Differentiable mappings between weighted restricted products. bibtex: '@article{Walter_2014, title={Differentiable mappings between weighted restricted products}, author={Walter, Boris}, year={2014} }' chicago: Walter, Boris. “Differentiable Mappings between Weighted Restricted Products,” 2014. ieee: B. Walter, “Differentiable mappings between weighted restricted products.” 2014. mla: Walter, Boris. Differentiable Mappings between Weighted Restricted Products. 2014. short: B. Walter, (2014). date_created: 2026-02-26T20:41:04Z date_updated: 2026-02-26T20:43:06Z department: - _id: '10' - _id: '87' - _id: '93' external_id: arxiv: - arXiv:1409.6195 keyword: - '46E10' - 46T20 - '26E15' - '26E20' language: - iso: eng status: public title: Differentiable mappings between weighted restricted products type: preprint user_id: '178' year: '2014' ... --- _id: '64760' author: - first_name: Jan Milan full_name: Eyni, Jan Milan last_name: Eyni citation: ama: Eyni JM. Universal central extensions for groups of sections on non-compact manifolds. Published online 2014. apa: Eyni, J. M. (2014). Universal central extensions for groups of sections on non-compact manifolds. bibtex: '@article{Eyni_2014, title={Universal central extensions for groups of sections on non-compact manifolds}, author={Eyni, Jan Milan}, year={2014} }' chicago: Eyni, Jan Milan. “Universal Central Extensions for Groups of Sections on Non-Compact Manifolds,” 2014. ieee: J. M. Eyni, “Universal central extensions for groups of sections on non-compact manifolds.” 2014. mla: Eyni, Jan Milan. Universal Central Extensions for Groups of Sections on Non-Compact Manifolds. 2014. short: J.M. Eyni, (2014). date_created: 2026-02-26T20:56:30Z date_updated: 2026-02-26T20:56:40Z department: - _id: '10' - _id: '87' - _id: '93' external_id: arxiv: - arXiv:1411.5851 language: - iso: eng status: public title: Universal central extensions for groups of sections on non-compact manifolds type: preprint user_id: '178' year: '2014' ... --- _id: '64667' article_type: original author: - first_name: Lidia full_name: Birth, Lidia last_name: Birth - first_name: Helge full_name: Glöckner, Helge id: '178' last_name: Glöckner citation: ama: Birth L, Glöckner H. Continuity of convolution of test functions on Lie groups. Canadian Journal of Mathematics. 2014;66(1):102–140. doi:10.4153/CJM-2012-035-6 apa: Birth, L., & Glöckner, H. (2014). Continuity of convolution of test functions on Lie groups. Canadian Journal of Mathematics, 66(1), 102–140. https://doi.org/10.4153/CJM-2012-035-6 bibtex: '@article{Birth_Glöckner_2014, title={Continuity of convolution of test functions on Lie groups}, volume={66}, DOI={10.4153/CJM-2012-035-6}, number={1}, journal={Canadian Journal of Mathematics}, author={Birth, Lidia and Glöckner, Helge}, year={2014}, pages={102–140} }' chicago: 'Birth, Lidia, and Helge Glöckner. “Continuity of Convolution of Test Functions on Lie Groups.” Canadian Journal of Mathematics 66, no. 1 (2014): 102–140. https://doi.org/10.4153/CJM-2012-035-6.' ieee: 'L. Birth and H. Glöckner, “Continuity of convolution of test functions on Lie groups,” Canadian Journal of Mathematics, vol. 66, no. 1, pp. 102–140, 2014, doi: 10.4153/CJM-2012-035-6.' mla: Birth, Lidia, and Helge Glöckner. “Continuity of Convolution of Test Functions on Lie Groups.” Canadian Journal of Mathematics, vol. 66, no. 1, 2014, pp. 102–140, doi:10.4153/CJM-2012-035-6. short: L. Birth, H. Glöckner, Canadian Journal of Mathematics 66 (2014) 102–140. date_created: 2026-02-26T10:57:07Z date_updated: 2026-02-27T08:28:36Z department: - _id: '10' - _id: '87' - _id: '93' doi: 10.4153/CJM-2012-035-6 intvolume: ' 66' issue: '1' keyword: - '22E30' - 46F05 - 22D15 - 42A85 - 43A10 - 43A15 - 46A03 - 46A13 - '46E25' language: - iso: eng page: 102–140 publication: Canadian Journal of Mathematics publication_identifier: issn: - 0008-414X quality_controlled: '1' status: public title: Continuity of convolution of test functions on Lie groups type: journal_article user_id: '178' volume: 66 year: '2014' ... --- _id: '64666' article_type: original author: - first_name: Helge full_name: Glöckner, Helge id: '178' last_name: Glöckner - first_name: Lutz G. full_name: Lucht, Lutz G. last_name: Lucht citation: ama: Glöckner H, Lucht LG. Weighted inversion of general Dirichlet series. Transactions of the American Mathematical Society. 2014;366(6):3275–3293. doi:10.1090/S0002-9947-2013-06018-7 apa: Glöckner, H., & Lucht, L. G. (2014). Weighted inversion of general Dirichlet series. Transactions of the American Mathematical Society, 366(6), 3275–3293. https://doi.org/10.1090/S0002-9947-2013-06018-7 bibtex: '@article{Glöckner_Lucht_2014, title={Weighted inversion of general Dirichlet series}, volume={366}, DOI={10.1090/S0002-9947-2013-06018-7}, number={6}, journal={Transactions of the American Mathematical Society}, author={Glöckner, Helge and Lucht, Lutz G.}, year={2014}, pages={3275–3293} }' chicago: 'Glöckner, Helge, and Lutz G. Lucht. “Weighted Inversion of General Dirichlet Series.” Transactions of the American Mathematical Society 366, no. 6 (2014): 3275–3293. https://doi.org/10.1090/S0002-9947-2013-06018-7.' ieee: 'H. Glöckner and L. G. Lucht, “Weighted inversion of general Dirichlet series,” Transactions of the American Mathematical Society, vol. 366, no. 6, pp. 3275–3293, 2014, doi: 10.1090/S0002-9947-2013-06018-7.' mla: Glöckner, Helge, and Lutz G. Lucht. “Weighted Inversion of General Dirichlet Series.” Transactions of the American Mathematical Society, vol. 366, no. 6, 2014, pp. 3275–3293, doi:10.1090/S0002-9947-2013-06018-7. short: H. Glöckner, L.G. Lucht, Transactions of the American Mathematical Society 366 (2014) 3275–3293. date_created: 2026-02-26T10:56:00Z date_updated: 2026-02-27T08:29:40Z department: - _id: '10' - _id: '87' - _id: '93' doi: 10.1090/S0002-9947-2013-06018-7 intvolume: ' 366' issue: '6' keyword: - 11M41 - 30B50 - 30J99 - 46H99 language: - iso: eng page: 3275–3293 publication: Transactions of the American Mathematical Society publication_identifier: issn: - 0002-9947 quality_controlled: '1' status: public title: Weighted inversion of general Dirichlet series type: journal_article user_id: '178' volume: 366 year: '2014' ... --- _id: '51395' author: - first_name: Joachim full_name: Hilgert, Joachim id: '220' last_name: Hilgert - first_name: M. full_name: Laubinger, M. last_name: Laubinger - first_name: A. full_name: Alldridge, A. last_name: Alldridge citation: ama: Hilgert J, Laubinger M, Alldridge A. Harmonic analysis on Heisenberg-Clifford Lie supergroups. J London Math Soc. 2013;87:561-585. apa: Hilgert, J., Laubinger, M., & Alldridge, A. (2013). Harmonic analysis on Heisenberg-Clifford Lie supergroups. J. London Math. Soc., 87, 561–585. bibtex: '@article{Hilgert_Laubinger_Alldridge_2013, title={Harmonic analysis on Heisenberg-Clifford Lie supergroups}, volume={87}, journal={J. London Math. Soc.}, author={Hilgert, Joachim and Laubinger, M. and Alldridge, A.}, year={2013}, pages={561–585} }' chicago: 'Hilgert, Joachim, M. Laubinger, and A. Alldridge. “Harmonic Analysis on Heisenberg-Clifford Lie Supergroups.” J. London Math. Soc. 87 (2013): 561–85.' ieee: J. Hilgert, M. Laubinger, and A. Alldridge, “Harmonic analysis on Heisenberg-Clifford Lie supergroups,” J. London Math. Soc., vol. 87, pp. 561–585, 2013. mla: Hilgert, Joachim, et al. “Harmonic Analysis on Heisenberg-Clifford Lie Supergroups.” J. London Math. Soc., vol. 87, 2013, pp. 561–85. short: J. Hilgert, M. Laubinger, A. Alldridge, J. London Math. Soc. 87 (2013) 561–585. date_created: 2024-02-19T06:53:28Z date_updated: 2024-02-19T06:54:41Z department: - _id: '91' intvolume: ' 87' language: - iso: eng page: 561-585 publication: J. London Math. Soc. publication_status: published status: public title: Harmonic analysis on Heisenberg-Clifford Lie supergroups type: journal_article user_id: '49063' volume: 87 year: '2013' ... --- _id: '51490' author: - first_name: Joachim full_name: Hilgert, Joachim id: '220' last_name: Hilgert citation: ama: Hilgert J. Arbeitsbuch Mathematik für das erste Studienjahr. Springer Spektrum; 2013. apa: Hilgert, J. (2013). Arbeitsbuch Mathematik für das erste Studienjahr. Springer Spektrum. bibtex: '@book{Hilgert_2013, title={Arbeitsbuch Mathematik für das erste Studienjahr}, publisher={Springer Spektrum}, author={Hilgert, Joachim}, year={2013} }' chicago: Hilgert, Joachim. Arbeitsbuch Mathematik für das erste Studienjahr. Springer Spektrum, 2013. ieee: J. Hilgert, Arbeitsbuch Mathematik für das erste Studienjahr. Springer Spektrum, 2013. mla: Hilgert, Joachim. Arbeitsbuch Mathematik für das erste Studienjahr. Springer Spektrum, 2013. short: J. Hilgert, Arbeitsbuch Mathematik für das erste Studienjahr, Springer Spektrum, 2013. date_created: 2024-02-19T10:17:34Z date_updated: 2024-08-08T07:38:30Z department: - _id: '91' language: - iso: ger main_file_link: - url: https://link.springer.com/book/10.1007/978-3-642-37550-7 publication_status: published publisher: Springer Spektrum status: public title: Arbeitsbuch Mathematik für das erste Studienjahr type: book user_id: '220' year: '2013' ... --- _id: '51491' author: - first_name: Joachim full_name: Hilgert, Joachim id: '220' last_name: Hilgert citation: ama: Hilgert J. Lesebuch Mathematik für das erste Studienjahr. Springer Spektrum; 2013. apa: Hilgert, J. (2013). Lesebuch Mathematik für das erste Studienjahr. Springer Spektrum. bibtex: '@book{Hilgert_2013, title={Lesebuch Mathematik für das erste Studienjahr}, publisher={Springer Spektrum}, author={Hilgert, Joachim}, year={2013} }' chicago: Hilgert, Joachim. Lesebuch Mathematik für das erste Studienjahr. Springer Spektrum, 2013. ieee: J. Hilgert, Lesebuch Mathematik für das erste Studienjahr. Springer Spektrum, 2013. mla: Hilgert, Joachim. Lesebuch Mathematik für das erste Studienjahr. Springer Spektrum, 2013. short: J. Hilgert, Lesebuch Mathematik für das erste Studienjahr, Springer Spektrum, 2013. date_created: 2024-02-19T10:18:22Z date_updated: 2024-08-08T07:50:43Z department: - _id: '91' language: - iso: ger main_file_link: - url: https://link.springer.com/book/10.1007/978-3-642-34755-9 publication_status: published publisher: Springer Spektrum status: public title: Lesebuch Mathematik für das erste Studienjahr type: book user_id: '220' year: '2013' ... --- _id: '31298' article_number: '164102' author: - first_name: Sonja full_name: Barkhofen, Sonja id: '48188' last_name: Barkhofen - first_name: Tobias full_name: Weich, Tobias id: '49178' last_name: Weich orcid: 0000-0002-9648-6919 - first_name: A. full_name: Potzuweit, A. last_name: Potzuweit - first_name: H.-J. full_name: Stöckmann, H.-J. last_name: Stöckmann - first_name: U. full_name: Kuhl, U. last_name: Kuhl - first_name: M. full_name: Zworski, M. last_name: Zworski citation: ama: Barkhofen S, Weich T, Potzuweit A, Stöckmann H-J, Kuhl U, Zworski M. Experimental Observation of the Spectral Gap in Microwave n-Disk Systems. Physical Review Letters. 2013;110(16). doi:10.1103/physrevlett.110.164102 apa: Barkhofen, S., Weich, T., Potzuweit, A., Stöckmann, H.-J., Kuhl, U., & Zworski, M. (2013). Experimental Observation of the Spectral Gap in Microwave n-Disk Systems. Physical Review Letters, 110(16), Article 164102. https://doi.org/10.1103/physrevlett.110.164102 bibtex: '@article{Barkhofen_Weich_Potzuweit_Stöckmann_Kuhl_Zworski_2013, title={Experimental Observation of the Spectral Gap in Microwave n-Disk Systems}, volume={110}, DOI={10.1103/physrevlett.110.164102}, number={16164102}, journal={Physical Review Letters}, publisher={American Physical Society (APS)}, author={Barkhofen, Sonja and Weich, Tobias and Potzuweit, A. and Stöckmann, H.-J. and Kuhl, U. and Zworski, M.}, year={2013} }' chicago: Barkhofen, Sonja, Tobias Weich, A. Potzuweit, H.-J. Stöckmann, U. Kuhl, and M. Zworski. “Experimental Observation of the Spectral Gap in Microwave N-Disk Systems.” Physical Review Letters 110, no. 16 (2013). https://doi.org/10.1103/physrevlett.110.164102. ieee: 'S. Barkhofen, T. Weich, A. Potzuweit, H.-J. Stöckmann, U. Kuhl, and M. Zworski, “Experimental Observation of the Spectral Gap in Microwave n-Disk Systems,” Physical Review Letters, vol. 110, no. 16, Art. no. 164102, 2013, doi: 10.1103/physrevlett.110.164102.' mla: Barkhofen, Sonja, et al. “Experimental Observation of the Spectral Gap in Microwave N-Disk Systems.” Physical Review Letters, vol. 110, no. 16, 164102, American Physical Society (APS), 2013, doi:10.1103/physrevlett.110.164102. short: S. Barkhofen, T. Weich, A. Potzuweit, H.-J. Stöckmann, U. Kuhl, M. Zworski, Physical Review Letters 110 (2013). date_created: 2022-05-17T13:00:47Z date_updated: 2023-01-19T08:49:01Z department: - _id: '10' - _id: '548' - _id: '288' doi: 10.1103/physrevlett.110.164102 external_id: arxiv: - '1212.5897 ' intvolume: ' 110' issue: '16' keyword: - General Physics and Astronomy language: - iso: eng publication: Physical Review Letters publication_identifier: issn: - 0031-9007 - 1079-7114 publication_status: published publisher: American Physical Society (APS) status: public title: Experimental Observation of the Spectral Gap in Microwave n-Disk Systems type: journal_article user_id: '48188' volume: 110 year: '2013' ... --- _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: '40072' author: - first_name: Tomasz full_name: Luks, Tomasz id: '58312' last_name: Luks citation: ama: Luks T. Boundary Behavior of α-Harmonic Functions on the Complement of the Sphere and Hyperplane. Potential Analysis. 2013;39(1):29-67. doi:10.1007/s11118-012-9321-x apa: Luks, T. (2013). Boundary Behavior of α-Harmonic Functions on the Complement of the Sphere and Hyperplane. Potential Analysis, 39(1), 29–67. https://doi.org/10.1007/s11118-012-9321-x bibtex: '@article{Luks_2013, title={Boundary Behavior of α-Harmonic Functions on the Complement of the Sphere and Hyperplane}, volume={39}, DOI={10.1007/s11118-012-9321-x}, number={1}, journal={Potential Analysis}, publisher={Springer Science and Business Media LLC}, author={Luks, Tomasz}, year={2013}, pages={29–67} }' chicago: 'Luks, Tomasz. “Boundary Behavior of α-Harmonic Functions on the Complement of the Sphere and Hyperplane.” Potential Analysis 39, no. 1 (2013): 29–67. https://doi.org/10.1007/s11118-012-9321-x.' ieee: 'T. Luks, “Boundary Behavior of α-Harmonic Functions on the Complement of the Sphere and Hyperplane,” Potential Analysis, vol. 39, no. 1, pp. 29–67, 2013, doi: 10.1007/s11118-012-9321-x.' mla: Luks, Tomasz. “Boundary Behavior of α-Harmonic Functions on the Complement of the Sphere and Hyperplane.” Potential Analysis, vol. 39, no. 1, Springer Science and Business Media LLC, 2013, pp. 29–67, doi:10.1007/s11118-012-9321-x. short: T. Luks, Potential Analysis 39 (2013) 29–67. date_created: 2023-01-25T15:50:45Z date_updated: 2023-01-26T17:29:16Z department: - _id: '555' doi: 10.1007/s11118-012-9321-x extern: '1' intvolume: ' 39' issue: '1' language: - iso: eng page: 29-67 publication: Potential Analysis publication_identifier: issn: - 0926-2601 - 1572-929X publication_status: published publisher: Springer Science and Business Media LLC status: public title: Boundary Behavior of α-Harmonic Functions on the Complement of the Sphere and Hyperplane type: journal_article user_id: '58312' volume: 39 year: '2013' ...