--- _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' ... --- _id: '40070' author: - first_name: Piotr full_name: Graczyk, Piotr last_name: Graczyk - first_name: Tomasz full_name: Jakubowski, Tomasz last_name: Jakubowski - first_name: Tomasz full_name: Luks, Tomasz id: '58312' last_name: Luks citation: ama: Graczyk P, Jakubowski T, Luks T. Martin representation and Relative Fatou Theorem for fractional Laplacian with a gradient perturbation. Positivity. 2013;17(4):1043-1070. doi:10.1007/s11117-012-0220-6 apa: Graczyk, P., Jakubowski, T., & Luks, T. (2013). Martin representation and Relative Fatou Theorem for fractional Laplacian with a gradient perturbation. Positivity, 17(4), 1043–1070. https://doi.org/10.1007/s11117-012-0220-6 bibtex: '@article{Graczyk_Jakubowski_Luks_2013, title={Martin representation and Relative Fatou Theorem for fractional Laplacian with a gradient perturbation}, volume={17}, DOI={10.1007/s11117-012-0220-6}, number={4}, journal={Positivity}, publisher={Springer Science and Business Media LLC}, author={Graczyk, Piotr and Jakubowski, Tomasz and Luks, Tomasz}, year={2013}, pages={1043–1070} }' chicago: 'Graczyk, Piotr, Tomasz Jakubowski, and Tomasz Luks. “Martin Representation and Relative Fatou Theorem for Fractional Laplacian with a Gradient Perturbation.” Positivity 17, no. 4 (2013): 1043–70. https://doi.org/10.1007/s11117-012-0220-6.' ieee: 'P. Graczyk, T. Jakubowski, and T. Luks, “Martin representation and Relative Fatou Theorem for fractional Laplacian with a gradient perturbation,” Positivity, vol. 17, no. 4, pp. 1043–1070, 2013, doi: 10.1007/s11117-012-0220-6.' mla: Graczyk, Piotr, et al. “Martin Representation and Relative Fatou Theorem for Fractional Laplacian with a Gradient Perturbation.” Positivity, vol. 17, no. 4, Springer Science and Business Media LLC, 2013, pp. 1043–70, doi:10.1007/s11117-012-0220-6. short: P. Graczyk, T. Jakubowski, T. Luks, Positivity 17 (2013) 1043–1070. date_created: 2023-01-25T15:49:25Z date_updated: 2023-01-26T17:21:01Z department: - _id: '555' doi: 10.1007/s11117-012-0220-6 extern: '1' intvolume: ' 17' issue: '4' language: - iso: eng page: 1043-1070 publication: Positivity publication_identifier: issn: - 1385-1292 - 1572-9281 publication_status: published publisher: Springer Science and Business Media LLC status: public title: Martin representation and Relative Fatou Theorem for fractional Laplacian with a gradient perturbation type: journal_article user_id: '58312' volume: 17 year: '2013' ... --- _id: '64731' author: - first_name: Helge full_name: Glöckner, Helge id: '178' last_name: Glöckner citation: ama: 'Glöckner H. Grobman-Hartman Theorems for Diffeomorphisms of Banach Spaces over Valued Fields. In: Advances in Ultrametric Analysis. 12th International Conference p-Adic Functional Analysis, University of Manitoba, Winnipeg, Canada, July 2-6, 2012. ; 2013.' apa: Glöckner, H. (2013). Grobman-Hartman Theorems for Diffeomorphisms of Banach Spaces over Valued Fields. In Advances in Ultrametric Analysis. 12th International Conference p-Adic Functional Analysis, University of Manitoba, Winnipeg, Canada, July 2-6, 2012. bibtex: '@inbook{Glöckner_2013, title={Grobman-Hartman Theorems for Diffeomorphisms of Banach Spaces over Valued Fields}, booktitle={Advances in Ultrametric Analysis. 12th International Conference p-Adic Functional Analysis, University of Manitoba, Winnipeg, Canada, July 2-6, 2012}, author={Glöckner, Helge}, year={2013} }' chicago: Glöckner, Helge. “Grobman-Hartman Theorems for Diffeomorphisms of Banach Spaces over Valued Fields.” In Advances in Ultrametric Analysis. 12th International Conference p-Adic Functional Analysis, University of Manitoba, Winnipeg, Canada, July 2-6, 2012, 2013. ieee: H. Glöckner, “Grobman-Hartman Theorems for Diffeomorphisms of Banach Spaces over Valued Fields,” in Advances in Ultrametric Analysis. 12th International Conference p-Adic Functional Analysis, University of Manitoba, Winnipeg, Canada, July 2-6, 2012, 2013. mla: Glöckner, Helge. “Grobman-Hartman Theorems for Diffeomorphisms of Banach Spaces over Valued Fields.” Advances in Ultrametric Analysis. 12th International Conference p-Adic Functional Analysis, University of Manitoba, Winnipeg, Canada, July 2-6, 2012, 2013. short: 'H. Glöckner, in: Advances in Ultrametric Analysis. 12th International Conference p-Adic Functional Analysis, University of Manitoba, Winnipeg, Canada, July 2-6, 2012, 2013.' date_created: 2026-02-26T13:44:52Z date_updated: 2026-02-26T13:45:11Z department: - _id: '10' - _id: '87' - _id: '93' language: - iso: eng publication: Advances in Ultrametric Analysis. 12th International Conference p-Adic Functional Analysis, University of Manitoba, Winnipeg, Canada, July 2-6, 2012 publication_identifier: eisbn: - 978-1-4704-1024-7 quality_controlled: '1' status: public title: Grobman-Hartman Theorems for Diffeomorphisms of Banach Spaces over Valued Fields type: book_chapter user_id: '178' year: '2013' ... --- _id: '64748' author: - first_name: Hamza full_name: Alzaareer, Hamza last_name: Alzaareer citation: ama: Alzaareer H. Lie Groups of Mappings on Non-Compact Spaces and Manifolds.; 2013. apa: Alzaareer, H. (2013). Lie groups of mappings on non-compact spaces and manifolds. bibtex: '@book{Alzaareer_2013, title={Lie groups of mappings on non-compact spaces and manifolds}, author={Alzaareer, Hamza}, year={2013} }' chicago: Alzaareer, Hamza. Lie Groups of Mappings on Non-Compact Spaces and Manifolds, 2013. ieee: H. Alzaareer, Lie groups of mappings on non-compact spaces and manifolds. 2013. mla: Alzaareer, Hamza. Lie Groups of Mappings on Non-Compact Spaces and Manifolds. 2013. short: H. Alzaareer, Lie Groups of Mappings on Non-Compact Spaces and Manifolds, 2013. date_created: 2026-02-26T20:20:01Z date_updated: 2026-02-26T20:20:22Z 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:466:2-11572 oa: '1' status: public supervisor: - first_name: Helge full_name: Glöckner, Helge id: '178' last_name: Glöckner title: Lie groups of mappings on non-compact spaces and manifolds type: dissertation user_id: '178' year: '2013' ... --- _id: '64750' author: - first_name: Alexander full_name: Schmeding, Alexander last_name: Schmeding citation: ama: Schmeding A. The Diffeomorphism Group of a Non-Compact Orbifold.; 2013. apa: Schmeding, A. (2013). The diffeomorphism group of a non-compact orbifold. bibtex: '@book{Schmeding_2013, title={The diffeomorphism group of a non-compact orbifold}, author={Schmeding, Alexander}, year={2013} }' chicago: Schmeding, Alexander. The Diffeomorphism Group of a Non-Compact Orbifold, 2013. ieee: A. Schmeding, The diffeomorphism group of a non-compact orbifold. 2013. mla: Schmeding, Alexander. The Diffeomorphism Group of a Non-Compact Orbifold. 2013. short: A. Schmeding, The Diffeomorphism Group of a Non-Compact Orbifold, 2013. date_created: 2026-02-26T20:26:25Z date_updated: 2026-02-26T20:26:39Z 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:466:2-12166 oa: '1' status: public supervisor: - first_name: Helge full_name: Glöckner, Helge id: '178' last_name: Glöckner title: The diffeomorphism group of a non-compact orbifold type: dissertation user_id: '178' year: '2013' ... --- _id: '64744' author: - first_name: Helge full_name: Glöckner, Helge id: '178' last_name: Glöckner citation: ama: Glöckner H. Differentiable mappings between spaces of sections. Published online 2013. apa: Glöckner, H. (2013). Differentiable mappings between spaces of sections. bibtex: '@article{Glöckner_2013, title={Differentiable mappings between spaces of sections}, author={Glöckner, Helge}, year={2013} }' chicago: Glöckner, Helge. “Differentiable Mappings between Spaces of Sections,” 2013. ieee: H. Glöckner, “Differentiable mappings between spaces of sections.” 2013. mla: Glöckner, Helge. Differentiable Mappings between Spaces of Sections. 2013. short: H. Glöckner, (2013). date_created: 2026-02-26T19:55:17Z date_updated: 2026-02-26T19:55:26Z department: - _id: '10' - _id: '87' - _id: '93' external_id: arxiv: - arXiv:1308.1172 language: - iso: eng status: public title: Differentiable mappings between spaces of sections type: preprint user_id: '178' year: '2013' ... --- _id: '64763' author: - first_name: Jakob full_name: Schütt, Jakob last_name: Schütt citation: ama: Schütt J. Symmetry Groups of Principal Bundles Over Non-Compact Bases. Published online 2013. apa: Schütt, J. (2013). Symmetry Groups of Principal Bundles Over Non-Compact Bases. bibtex: '@article{Schütt_2013, title={Symmetry Groups of Principal Bundles Over Non-Compact Bases}, author={Schütt, Jakob}, year={2013} }' chicago: Schütt, Jakob. “Symmetry Groups of Principal Bundles Over Non-Compact Bases,” 2013. ieee: J. Schütt, “Symmetry Groups of Principal Bundles Over Non-Compact Bases.” 2013. mla: Schütt, Jakob. Symmetry Groups of Principal Bundles Over Non-Compact Bases. 2013. short: J. Schütt, (2013). date_created: 2026-02-26T21:04:42Z date_updated: 2026-02-26T21:04:51Z department: - _id: '10' - _id: '87' - _id: '93' external_id: arxiv: - arXiv:1310.8538 language: - iso: eng status: public title: Symmetry Groups of Principal Bundles Over Non-Compact Bases type: preprint user_id: '178' year: '2013' ... --- _id: '64669' article_type: original author: - first_name: Helge full_name: Glöckner, Helge id: '178' last_name: Glöckner citation: ama: Glöckner H. Continuity of LF-algebra representations associated to representations of Lie groups. Kyoto Journal of Mathematics. 2013;53(3):567–595. doi:10.1215/21562261-2265895 apa: Glöckner, H. (2013). Continuity of LF-algebra representations associated to representations of Lie groups. Kyoto Journal of Mathematics, 53(3), 567–595. https://doi.org/10.1215/21562261-2265895 bibtex: '@article{Glöckner_2013, title={Continuity of LF-algebra representations associated to representations of Lie groups}, volume={53}, DOI={10.1215/21562261-2265895}, number={3}, journal={Kyoto Journal of Mathematics}, author={Glöckner, Helge}, year={2013}, pages={567–595} }' chicago: 'Glöckner, Helge. “Continuity of LF-Algebra Representations Associated to Representations of Lie Groups.” Kyoto Journal of Mathematics 53, no. 3 (2013): 567–595. https://doi.org/10.1215/21562261-2265895.' ieee: 'H. Glöckner, “Continuity of LF-algebra representations associated to representations of Lie groups,” Kyoto Journal of Mathematics, vol. 53, no. 3, pp. 567–595, 2013, doi: 10.1215/21562261-2265895.' mla: Glöckner, Helge. “Continuity of LF-Algebra Representations Associated to Representations of Lie Groups.” Kyoto Journal of Mathematics, vol. 53, no. 3, 2013, pp. 567–595, doi:10.1215/21562261-2265895. short: H. Glöckner, Kyoto Journal of Mathematics 53 (2013) 567–595. date_created: 2026-02-26T11:00:29Z date_updated: 2026-02-27T08:26:40Z department: - _id: '10' - _id: '87' - _id: '93' doi: 10.1215/21562261-2265895 intvolume: ' 53' issue: '3' keyword: - '22E45' - 22D12 - 46A13 - '46E25' - 46F05 language: - iso: eng page: 567–595 publication: Kyoto Journal of Mathematics publication_identifier: issn: - 2156-2261 quality_controlled: '1' status: public title: Continuity of LF-algebra representations associated to representations of Lie groups type: journal_article user_id: '178' volume: 53 year: '2013' ... --- _id: '64670' article_type: original author: - first_name: Helge full_name: Glöckner, Helge id: '178' last_name: Glöckner citation: ama: Glöckner H. Invariant manifolds for analytic dynamical systems over ultrametric fields. Expositiones Mathematicae. 2013;31(2):116–150. doi:10.1016/j.exmath.2013.01.009 apa: Glöckner, H. (2013). Invariant manifolds for analytic dynamical systems over ultrametric fields. Expositiones Mathematicae, 31(2), 116–150. https://doi.org/10.1016/j.exmath.2013.01.009 bibtex: '@article{Glöckner_2013, title={Invariant manifolds for analytic dynamical systems over ultrametric fields}, volume={31}, DOI={10.1016/j.exmath.2013.01.009}, number={2}, journal={Expositiones Mathematicae}, author={Glöckner, Helge}, year={2013}, pages={116–150} }' chicago: 'Glöckner, Helge. “Invariant Manifolds for Analytic Dynamical Systems over Ultrametric Fields.” Expositiones Mathematicae 31, no. 2 (2013): 116–150. https://doi.org/10.1016/j.exmath.2013.01.009.' ieee: 'H. Glöckner, “Invariant manifolds for analytic dynamical systems over ultrametric fields,” Expositiones Mathematicae, vol. 31, no. 2, pp. 116–150, 2013, doi: 10.1016/j.exmath.2013.01.009.' mla: Glöckner, Helge. “Invariant Manifolds for Analytic Dynamical Systems over Ultrametric Fields.” Expositiones Mathematicae, vol. 31, no. 2, 2013, pp. 116–150, doi:10.1016/j.exmath.2013.01.009. short: H. Glöckner, Expositiones Mathematicae 31 (2013) 116–150. date_created: 2026-02-26T11:01:41Z date_updated: 2026-02-27T08:25:56Z department: - _id: '10' - _id: '87' - _id: '93' doi: 10.1016/j.exmath.2013.01.009 intvolume: ' 31' issue: '2' keyword: - 37D10 - 46S10 - '26E30' - '22E20' - 37P20 language: - iso: eng page: 116–150 publication: Expositiones Mathematicae publication_identifier: issn: - 0723-0869 quality_controlled: '1' status: public title: Invariant manifolds for analytic dynamical systems over ultrametric fields type: journal_article user_id: '178' volume: 31 year: '2013' ... --- _id: '64668' article_type: original author: - first_name: Helge full_name: Glöckner, Helge id: '178' last_name: Glöckner citation: ama: Glöckner H. Exponential laws for ultrametric partially differentiable functions and applications. p-Adic Numbers, Ultrametric Analysis and Applications. 2013;5(2):122–159. doi:10.1134/S2070046613020039 apa: Glöckner, H. (2013). Exponential laws for ultrametric partially differentiable functions and applications. P-Adic Numbers, Ultrametric Analysis and Applications, 5(2), 122–159. https://doi.org/10.1134/S2070046613020039 bibtex: '@article{Glöckner_2013, title={Exponential laws for ultrametric partially differentiable functions and applications}, volume={5}, DOI={10.1134/S2070046613020039}, number={2}, journal={p-Adic Numbers, Ultrametric Analysis and Applications}, author={Glöckner, Helge}, year={2013}, pages={122–159} }' chicago: 'Glöckner, Helge. “Exponential Laws for Ultrametric Partially Differentiable Functions and Applications.” P-Adic Numbers, Ultrametric Analysis and Applications 5, no. 2 (2013): 122–159. https://doi.org/10.1134/S2070046613020039.' ieee: 'H. Glöckner, “Exponential laws for ultrametric partially differentiable functions and applications,” p-Adic Numbers, Ultrametric Analysis and Applications, vol. 5, no. 2, pp. 122–159, 2013, doi: 10.1134/S2070046613020039.' mla: Glöckner, Helge. “Exponential Laws for Ultrametric Partially Differentiable Functions and Applications.” P-Adic Numbers, Ultrametric Analysis and Applications, vol. 5, no. 2, 2013, pp. 122–159, doi:10.1134/S2070046613020039. short: H. Glöckner, P-Adic Numbers, Ultrametric Analysis and Applications 5 (2013) 122–159. date_created: 2026-02-26T10:58:51Z date_updated: 2026-02-27T08:28:03Z department: - _id: '10' - _id: '87' - _id: '93' doi: 10.1134/S2070046613020039 intvolume: ' 5' issue: '2' keyword: - '26E30' - 12J25 language: - iso: eng page: 122–159 publication: p-Adic Numbers, Ultrametric Analysis and Applications publication_identifier: issn: - 2070-0466 quality_controlled: '1' status: public title: Exponential laws for ultrametric partially differentiable functions and applications type: journal_article user_id: '178' volume: 5 year: '2013' ... --- _id: '31300' article_number: '066205' author: - first_name: A. full_name: Potzuweit, A. last_name: Potzuweit - 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: H.-J. full_name: Stöckmann, H.-J. last_name: Stöckmann - first_name: M. full_name: Zworski, M. last_name: Zworski citation: ama: 'Potzuweit A, Weich T, Barkhofen S, Kuhl U, Stöckmann H-J, Zworski M. Weyl asymptotics: From closed to open systems. Physical Review E. 2012;86(6). doi:10.1103/physreve.86.066205' apa: 'Potzuweit, A., Weich, T., Barkhofen, S., Kuhl, U., Stöckmann, H.-J., & Zworski, M. (2012). Weyl asymptotics: From closed to open systems. Physical Review E, 86(6), Article 066205. https://doi.org/10.1103/physreve.86.066205' bibtex: '@article{Potzuweit_Weich_Barkhofen_Kuhl_Stöckmann_Zworski_2012, title={Weyl asymptotics: From closed to open systems}, volume={86}, DOI={10.1103/physreve.86.066205}, number={6066205}, journal={Physical Review E}, publisher={American Physical Society (APS)}, author={Potzuweit, A. and Weich, Tobias and Barkhofen, Sonja and Kuhl, U. and Stöckmann, H.-J. and Zworski, M.}, year={2012} }' chicago: 'Potzuweit, A., Tobias Weich, Sonja Barkhofen, U. Kuhl, H.-J. Stöckmann, and M. Zworski. “Weyl Asymptotics: From Closed to Open Systems.” Physical Review E 86, no. 6 (2012). https://doi.org/10.1103/physreve.86.066205.' ieee: 'A. Potzuweit, T. Weich, S. Barkhofen, U. Kuhl, H.-J. Stöckmann, and M. Zworski, “Weyl asymptotics: From closed to open systems,” Physical Review E, vol. 86, no. 6, Art. no. 066205, 2012, doi: 10.1103/physreve.86.066205.' mla: 'Potzuweit, A., et al. “Weyl Asymptotics: From Closed to Open Systems.” Physical Review E, vol. 86, no. 6, 066205, American Physical Society (APS), 2012, doi:10.1103/physreve.86.066205.' short: A. Potzuweit, T. Weich, S. Barkhofen, U. Kuhl, H.-J. Stöckmann, M. Zworski, Physical Review E 86 (2012). date_created: 2022-05-17T13:01:39Z date_updated: 2022-05-19T10:18:57Z department: - _id: '10' - _id: '623' - _id: '548' doi: 10.1103/physreve.86.066205 external_id: arxiv: - '1209.2304' intvolume: ' 86' issue: '6' keyword: - Industrial and Manufacturing Engineering - Metals and Alloys - Strategy and Management - Mechanical Engineering language: - iso: eng publication: Physical Review E publication_identifier: issn: - 1539-3755 - 1550-2376 publication_status: published publisher: American Physical Society (APS) status: public title: 'Weyl asymptotics: From closed to open systems' type: journal_article user_id: '49178' volume: 86 year: '2012' ... --- _id: '51396' author: - first_name: Joachim full_name: Hilgert, Joachim id: '220' last_name: Hilgert - first_name: B. full_name: Orsted, B. last_name: Orsted - first_name: J. full_name: Möllers, J. last_name: Möllers - first_name: T. full_name: Kobayashi, T. last_name: Kobayashi citation: ama: Hilgert J, Orsted B, Möllers J, Kobayashi T. Fock model and Segal-Bargmann transform for minimal representations of Hermitian Lie groups. J Funct Anal. 2012;263:3492-3563. apa: Hilgert, J., Orsted, B., Möllers, J., & Kobayashi, T. (2012). Fock model and Segal-Bargmann transform for minimal representations of Hermitian Lie groups. J. Funct. Anal., 263, 3492–3563. bibtex: '@article{Hilgert_Orsted_Möllers_Kobayashi_2012, title={Fock model and Segal-Bargmann transform for minimal representations of Hermitian Lie groups}, volume={263}, journal={J. Funct. Anal.}, author={Hilgert, Joachim and Orsted, B. and Möllers, J. and Kobayashi, T.}, year={2012}, pages={3492–3563} }' chicago: 'Hilgert, Joachim, B. Orsted, J. Möllers, and T. Kobayashi. “Fock Model and Segal-Bargmann Transform for Minimal Representations of Hermitian Lie Groups.” J. Funct. Anal. 263 (2012): 3492–3563.' ieee: J. Hilgert, B. Orsted, J. Möllers, and T. Kobayashi, “Fock model and Segal-Bargmann transform for minimal representations of Hermitian Lie groups,” J. Funct. Anal., vol. 263, pp. 3492–3563, 2012. mla: Hilgert, Joachim, et al. “Fock Model and Segal-Bargmann Transform for Minimal Representations of Hermitian Lie Groups.” J. Funct. Anal., vol. 263, 2012, pp. 3492–563. short: J. Hilgert, B. Orsted, J. Möllers, T. Kobayashi, J. Funct. Anal. 263 (2012) 3492–3563. date_created: 2024-02-19T06:54:37Z date_updated: 2024-02-19T06:54:40Z department: - _id: '91' intvolume: ' 263' language: - iso: eng page: 3492-3563 publication: J. Funct. Anal. publication_status: published status: public title: Fock model and Segal-Bargmann transform for minimal representations of Hermitian Lie groups type: journal_article user_id: '49063' volume: 263 year: '2012' ... --- _id: '51397' author: - first_name: Joachim full_name: Hilgert, Joachim id: '220' last_name: Hilgert - first_name: W. full_name: Palzer, W. last_name: Palzer - first_name: A. full_name: Alldridge, A. last_name: Alldridge citation: ama: Hilgert J, Palzer W, Alldridge A. Integration on non-compact supermanifolds. Journal of Geometry and Physics. 2012;62:427-448. apa: Hilgert, J., Palzer, W., & Alldridge, A. (2012). Integration on non-compact supermanifolds. Journal of Geometry and Physics, 62, 427–448. bibtex: '@article{Hilgert_Palzer_Alldridge_2012, title={Integration on non-compact supermanifolds}, volume={62}, journal={Journal of Geometry and Physics}, author={Hilgert, Joachim and Palzer, W. and Alldridge, A.}, year={2012}, pages={427–448} }' chicago: 'Hilgert, Joachim, W. Palzer, and A. Alldridge. “Integration on Non-Compact Supermanifolds.” Journal of Geometry and Physics 62 (2012): 427–48.' ieee: J. Hilgert, W. Palzer, and A. Alldridge, “Integration on non-compact supermanifolds,” Journal of Geometry and Physics, vol. 62, pp. 427–448, 2012. mla: Hilgert, Joachim, et al. “Integration on Non-Compact Supermanifolds.” Journal of Geometry and Physics, vol. 62, 2012, pp. 427–48. short: J. Hilgert, W. Palzer, A. Alldridge, Journal of Geometry and Physics 62 (2012) 427–448. date_created: 2024-02-19T06:55:35Z date_updated: 2024-02-19T06:55:38Z department: - _id: '91' intvolume: ' 62' language: - iso: eng page: 427-448 publication: Journal of Geometry and Physics publication_status: published status: public title: Integration on non-compact supermanifolds type: journal_article user_id: '49063' volume: 62 year: '2012' ... --- _id: '51398' author: - first_name: Joachim full_name: Hilgert, Joachim id: '220' last_name: Hilgert - first_name: M. full_name: Schröder, M. last_name: Schröder - first_name: S. full_name: Hansen, S. last_name: Hansen citation: ama: Hilgert J, Schröder M, Hansen S. Patterson-Sullivan distributions in higher rank. Math Z. 2012;272:607-643. apa: Hilgert, J., Schröder, M., & Hansen, S. (2012). Patterson-Sullivan distributions in higher rank. Math. Z., 272, 607–643. bibtex: '@article{Hilgert_Schröder_Hansen_2012, title={Patterson-Sullivan distributions in higher rank}, volume={272}, journal={Math. Z.}, author={Hilgert, Joachim and Schröder, M. and Hansen, S.}, year={2012}, pages={607–643} }' chicago: 'Hilgert, Joachim, M. Schröder, and S. Hansen. “Patterson-Sullivan Distributions in Higher Rank.” Math. Z. 272 (2012): 607–43.' ieee: J. Hilgert, M. Schröder, and S. Hansen, “Patterson-Sullivan distributions in higher rank,” Math. Z., vol. 272, pp. 607–643, 2012. mla: Hilgert, Joachim, et al. “Patterson-Sullivan Distributions in Higher Rank.” Math. Z., vol. 272, 2012, pp. 607–43. short: J. Hilgert, M. Schröder, S. Hansen, Math. Z. 272 (2012) 607–643. date_created: 2024-02-19T06:56:26Z date_updated: 2024-02-19T06:56:30Z department: - _id: '91' intvolume: ' 272' language: - iso: eng page: 607-643 publication: Math. Z. publication_status: published status: public title: Patterson-Sullivan distributions in higher rank type: journal_article user_id: '49063' volume: 272 year: '2012' ... --- _id: '51492' author: - first_name: Joachim full_name: Hilgert, Joachim id: '220' last_name: Hilgert - first_name: Ingrid full_name: Hilgert, Ingrid last_name: Hilgert citation: ama: Hilgert J, Hilgert I. Mathematik - Ein Reiseführer. Springer Spektrum; 2012. apa: Hilgert, J., & Hilgert, I. (2012). Mathematik - Ein Reiseführer. Springer Spektrum. bibtex: '@book{Hilgert_Hilgert_2012, title={Mathematik - Ein Reiseführer}, publisher={Springer Spektrum}, author={Hilgert, Joachim and Hilgert, Ingrid}, year={2012} }' chicago: Hilgert, Joachim, and Ingrid Hilgert. Mathematik - Ein Reiseführer. Springer Spektrum, 2012. ieee: J. Hilgert and I. Hilgert, Mathematik - Ein Reiseführer. Springer Spektrum, 2012. mla: Hilgert, Joachim, and Ingrid Hilgert. Mathematik - Ein Reiseführer. Springer Spektrum, 2012. short: J. Hilgert, I. Hilgert, Mathematik - Ein Reiseführer, Springer Spektrum, 2012. date_created: 2024-02-19T10:20:18Z date_updated: 2024-08-08T07:50:08Z department: - _id: '91' language: - iso: ger main_file_link: - url: https://link.springer.com/book/10.1007/978-3-8274-2932-2 publication_status: published publisher: Springer Spektrum status: public title: Mathematik - Ein Reiseführer type: book user_id: '220' year: '2012' ... --- _id: '64740' author: - first_name: Helge full_name: Glöckner, Helge id: '178' last_name: Glöckner citation: ama: Glöckner H. Regularity properties of infinite-dimensional Lie groups, and semiregularity. Published online 2012. apa: Glöckner, H. (2012). Regularity properties of infinite-dimensional Lie groups, and semiregularity. bibtex: '@article{Glöckner_2012, title={Regularity properties of infinite-dimensional Lie groups, and semiregularity}, author={Glöckner, Helge}, year={2012} }' chicago: Glöckner, Helge. “Regularity Properties of Infinite-Dimensional Lie Groups, and Semiregularity,” 2012. ieee: H. Glöckner, “Regularity properties of infinite-dimensional Lie groups, and semiregularity.” 2012. mla: Glöckner, Helge. Regularity Properties of Infinite-Dimensional Lie Groups, and Semiregularity. 2012. short: H. Glöckner, (2012). date_created: 2026-02-26T19:47:51Z date_updated: 2026-02-26T19:48:01Z department: - _id: '10' - _id: '87' - _id: '93' external_id: arxiv: - arXiv:1208.0715 language: - iso: eng status: public title: Regularity properties of infinite-dimensional Lie groups, and semiregularity type: preprint user_id: '178' year: '2012' ... --- _id: '64754' article_type: original author: - first_name: Boris full_name: Walter, Boris last_name: Walter citation: ama: Walter B. Weighted diffeomorphism groups of Banach spaces and weighted mapping groups. Dissertationes Mathematicae. 2012;484:126. doi:10.4064/dm484-0-1 apa: Walter, B. (2012). Weighted diffeomorphism groups of Banach spaces and weighted mapping groups. Dissertationes Mathematicae, 484, 126. https://doi.org/10.4064/dm484-0-1 bibtex: '@article{Walter_2012, title={Weighted diffeomorphism groups of Banach spaces and weighted mapping groups}, volume={484}, DOI={10.4064/dm484-0-1}, journal={Dissertationes Mathematicae}, author={Walter, Boris}, year={2012}, pages={126} }' chicago: 'Walter, Boris. “Weighted Diffeomorphism Groups of Banach Spaces and Weighted Mapping Groups.” Dissertationes Mathematicae 484 (2012): 126. https://doi.org/10.4064/dm484-0-1.' ieee: 'B. Walter, “Weighted diffeomorphism groups of Banach spaces and weighted mapping groups,” Dissertationes Mathematicae, vol. 484, p. 126, 2012, doi: 10.4064/dm484-0-1.' mla: Walter, Boris. “Weighted Diffeomorphism Groups of Banach Spaces and Weighted Mapping Groups.” Dissertationes Mathematicae, vol. 484, 2012, p. 126, doi:10.4064/dm484-0-1. short: B. Walter, Dissertationes Mathematicae 484 (2012) 126. date_created: 2026-02-26T20:39:38Z date_updated: 2026-02-27T07:31:39Z department: - _id: '10' - _id: '87' - _id: '93' doi: 10.4064/dm484-0-1 intvolume: ' 484' keyword: - 58D05 - '22E65' - '22E67' - '26E15' - '26E20' - '46E10' - '46E40' - '46E50' - 46T05 - 46T10 - 46T20 - 58D15 language: - iso: eng page: '126' publication: Dissertationes Mathematicae publication_identifier: issn: - 0012-3862 quality_controlled: '1' status: public title: Weighted diffeomorphism groups of Banach spaces and weighted mapping groups type: journal_article user_id: '178' volume: 484 year: '2012' ... --- _id: '64672' article_type: original author: - first_name: Helge full_name: Glöckner, Helge id: '178' last_name: Glöckner citation: ama: Glöckner H. Upper bounds for continuous seminorms and special properties of bilinear maps. Topology and its Applications. 2012;159(13):2990–3001. doi:10.1016/j.topol.2012.05.010 apa: Glöckner, H. (2012). Upper bounds for continuous seminorms and special properties of bilinear maps. Topology and Its Applications, 159(13), 2990–3001. https://doi.org/10.1016/j.topol.2012.05.010 bibtex: '@article{Glöckner_2012, title={Upper bounds for continuous seminorms and special properties of bilinear maps}, volume={159}, DOI={10.1016/j.topol.2012.05.010}, number={13}, journal={Topology and its Applications}, author={Glöckner, Helge}, year={2012}, pages={2990–3001} }' chicago: 'Glöckner, Helge. “Upper Bounds for Continuous Seminorms and Special Properties of Bilinear Maps.” Topology and Its Applications 159, no. 13 (2012): 2990–3001. https://doi.org/10.1016/j.topol.2012.05.010.' ieee: 'H. Glöckner, “Upper bounds for continuous seminorms and special properties of bilinear maps,” Topology and its Applications, vol. 159, no. 13, pp. 2990–3001, 2012, doi: 10.1016/j.topol.2012.05.010.' mla: Glöckner, Helge. “Upper Bounds for Continuous Seminorms and Special Properties of Bilinear Maps.” Topology and Its Applications, vol. 159, no. 13, 2012, pp. 2990–3001, doi:10.1016/j.topol.2012.05.010. short: H. Glöckner, Topology and Its Applications 159 (2012) 2990–3001. date_created: 2026-02-26T11:04:46Z date_updated: 2026-02-27T08:25:06Z department: - _id: '10' - _id: '87' - _id: '93' doi: 10.1016/j.topol.2012.05.010 intvolume: ' 159' issue: '13' keyword: - 46A03 - 46F05 - 22D15 - 42A85 - 46A11 - 46A32 language: - iso: eng page: 2990–3001 publication: Topology and its Applications publication_identifier: issn: - 0166-8641 quality_controlled: '1' status: public title: Upper bounds for continuous seminorms and special properties of bilinear maps type: journal_article user_id: '178' volume: 159 year: '2012' ...