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Tumpach, “Poisson structures in the Banach setting: comparison of different approaches,” in <i>Geometric Methods in Physics, XLI Workshop</i>, Białystok, Poland, 2024, pp. 97–117, doi: <a href=\"https://doi.org/10.1007/978-3-031-89857-0_9\">10.1007/978-3-031-89857-0_9</a>.","chicago":"Tomasz\tGoliński, Tomasz\t, Praful Rahangdale, and Alice Barbora Tumpach. “Poisson Structures in the Banach Setting: Comparison of Different Approaches.” In <i>Geometric Methods in Physics, XLI Workshop</i>, edited by P. Kielanowski, A. Dobrogowska, D. Fernández, and D. Goliński, 97–117. Geometric Methods in Physics XLI. Białowieża, Poland: Birkhauser, 2024. <a href=\"https://doi.org/10.1007/978-3-031-89857-0_9\">https://doi.org/10.1007/978-3-031-89857-0_9</a>.","ama":"Tomasz\tGoliński T, Rahangdale P, Tumpach AB. Poisson structures in the Banach setting: comparison of different approaches. In: Kielanowski P, Dobrogowska A, Fernández D, Goliński D, eds. <i>Geometric Methods in Physics, XLI Workshop</i>. Geometric Methods in Physics XLI. Birkhauser; 2024:97–117. doi:<a href=\"https://doi.org/10.1007/978-3-031-89857-0_9\">10.1007/978-3-031-89857-0_9</a>","apa":"Tomasz\tGoliński, T., Rahangdale, P., &#38; Tumpach, A. B. (2024). Poisson structures in the Banach setting: comparison of different approaches. In P. Kielanowski, A. Dobrogowska, D. Fernández, &#38; D. Goliński (Eds.), <i>Geometric Methods in Physics, XLI Workshop</i> (pp. 97–117). Birkhauser. <a href=\"https://doi.org/10.1007/978-3-031-89857-0_9\">https://doi.org/10.1007/978-3-031-89857-0_9</a>","mla":"Tomasz\tGoliński, Tomasz, et al. “Poisson Structures in the Banach Setting: Comparison of Different Approaches.” <i>Geometric Methods in Physics, XLI Workshop</i>, edited by P. Kielanowski et al., Birkhauser, 2024, pp. 97–117, doi:<a href=\"https://doi.org/10.1007/978-3-031-89857-0_9\">10.1007/978-3-031-89857-0_9</a>.","bibtex":"@inproceedings{Tomasz\tGoliński_Rahangdale_Tumpach_2024, place={Białowieża, Poland}, series={Geometric Methods in Physics XLI}, title={Poisson structures in the Banach setting: comparison of different approaches}, DOI={<a href=\"https://doi.org/10.1007/978-3-031-89857-0_9\">10.1007/978-3-031-89857-0_9</a>}, booktitle={Geometric Methods in Physics, XLI Workshop}, publisher={Birkhauser}, author={Tomasz\tGoliński, Tomasz\t and Rahangdale, Praful and Tumpach, Alice Barbora}, editor={Kielanowski, P. and Dobrogowska, A. and Fernández, D. and Goliński, D.}, year={2024}, pages={97–117}, collection={Geometric Methods in Physics XLI} }","short":"T. Tomasz\tGoliński, P. Rahangdale, A.B. Tumpach, in: P. Kielanowski, A. Dobrogowska, D. Fernández, D. Goliński (Eds.), Geometric Methods in Physics, XLI Workshop, Birkhauser, Białowieża, Poland, 2024, pp. 97–117."},"publication_identifier":{"isbn":["978-3-031-89857-0"]},"publication_status":"published","alternative_title":["Trends in Mathematics"],"_id":"63605","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"series_title":"Geometric Methods in Physics XLI","user_id":"103300","editor":[{"full_name":"Kielanowski, P.","last_name":"Kielanowski","first_name":"P."},{"full_name":"Dobrogowska, A.","last_name":"Dobrogowska","first_name":"A."},{"full_name":"Fernández, D.","last_name":"Fernández","first_name":"D."},{"first_name":"D.","last_name":"Goliński","full_name":"Goliński, D."}],"status":"public","type":"conference"},{"keyword":["22E65","28B05","34A12","34H05","46E30","46E40"],"language":[{"iso":"eng"}],"external_id":{"arxiv":["2007.11277"]},"publication":"Journal of Differential Equations","title":"Aspects of control theory on infinite-dimensional Lie groups and G-manifolds","date_created":"2022-12-21T19:31:13Z","year":"2023","quality_controlled":"1","article_type":"original","_id":"34793","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"},{"_id":"91"}],"user_id":"178","status":"public","type":"journal_article","doi":"10.1016/j.jde.2022.10.001","date_updated":"2024-03-22T16:02:32Z","volume":343,"author":[{"first_name":"Helge","last_name":"Glöckner","id":"178","full_name":"Glöckner, Helge"},{"id":"220","full_name":"Hilgert, Joachim","last_name":"Hilgert","first_name":"Joachim"}],"page":"186–232","intvolume":"       343","citation":{"bibtex":"@article{Glöckner_Hilgert_2023, title={Aspects of control theory on infinite-dimensional Lie groups and G-manifolds}, volume={343}, DOI={<a href=\"https://doi.org/10.1016/j.jde.2022.10.001\">10.1016/j.jde.2022.10.001</a>}, journal={Journal of Differential Equations}, author={Glöckner, Helge and Hilgert, Joachim}, year={2023}, pages={186–232} }","mla":"Glöckner, Helge, and Joachim Hilgert. “Aspects of Control Theory on Infinite-Dimensional Lie Groups and G-Manifolds.” <i>Journal of Differential Equations</i>, vol. 343, 2023, pp. 186–232, doi:<a href=\"https://doi.org/10.1016/j.jde.2022.10.001\">10.1016/j.jde.2022.10.001</a>.","short":"H. Glöckner, J. Hilgert, Journal of Differential Equations 343 (2023) 186–232.","apa":"Glöckner, H., &#38; Hilgert, J. (2023). Aspects of control theory on infinite-dimensional Lie groups and G-manifolds. <i>Journal of Differential Equations</i>, <i>343</i>, 186–232. <a href=\"https://doi.org/10.1016/j.jde.2022.10.001\">https://doi.org/10.1016/j.jde.2022.10.001</a>","ieee":"H. Glöckner and J. Hilgert, “Aspects of control theory on infinite-dimensional Lie groups and G-manifolds,” <i>Journal of Differential Equations</i>, vol. 343, pp. 186–232, 2023, doi: <a href=\"https://doi.org/10.1016/j.jde.2022.10.001\">10.1016/j.jde.2022.10.001</a>.","chicago":"Glöckner, Helge, and Joachim Hilgert. “Aspects of Control Theory on Infinite-Dimensional Lie Groups and G-Manifolds.” <i>Journal of Differential Equations</i> 343 (2023): 186–232. <a href=\"https://doi.org/10.1016/j.jde.2022.10.001\">https://doi.org/10.1016/j.jde.2022.10.001</a>.","ama":"Glöckner H, Hilgert J. Aspects of control theory on infinite-dimensional Lie groups and G-manifolds. <i>Journal of Differential Equations</i>. 2023;343:186–232. doi:<a href=\"https://doi.org/10.1016/j.jde.2022.10.001\">10.1016/j.jde.2022.10.001</a>"},"publication_identifier":{"issn":["0022-0396"]}},{"doi":"10.1007/s10543-023-00989-05","title":"Deep neural networks on diffeomorphism groups for optimal shape reparametrization","date_created":"2022-12-22T07:37:20Z","author":[{"last_name":"Celledoni","full_name":"Celledoni, Elena","first_name":"Elena"},{"first_name":"Helge","last_name":"Glöckner","full_name":"Glöckner, Helge","id":"178"},{"full_name":"Riseth, Jørgen","last_name":"Riseth","first_name":"Jørgen"},{"first_name":"Alexander","full_name":"Schmeding, Alexander","last_name":"Schmeding"}],"volume":63,"date_updated":"2024-08-09T08:48:06Z","publisher":"Springer","citation":{"short":"E. Celledoni, H. Glöckner, J. Riseth, A. Schmeding, BIT Numerical Mathematics 63 (2023).","mla":"Celledoni, Elena, et al. “Deep Neural Networks on Diffeomorphism Groups for Optimal Shape Reparametrization.” <i>BIT Numerical Mathematics</i>, vol. 63, 50, Springer, 2023, doi:<a href=\"https://doi.org/10.1007/s10543-023-00989-05\">10.1007/s10543-023-00989-05</a>.","bibtex":"@article{Celledoni_Glöckner_Riseth_Schmeding_2023, title={Deep neural networks on diffeomorphism groups for optimal shape reparametrization}, volume={63}, DOI={<a href=\"https://doi.org/10.1007/s10543-023-00989-05\">10.1007/s10543-023-00989-05</a>}, number={50}, journal={BIT Numerical Mathematics}, publisher={Springer}, author={Celledoni, Elena and Glöckner, Helge and Riseth, Jørgen and Schmeding, Alexander}, year={2023} }","apa":"Celledoni, E., Glöckner, H., Riseth, J., &#38; Schmeding, A. (2023). Deep neural networks on diffeomorphism groups for optimal shape reparametrization. <i>BIT Numerical Mathematics</i>, <i>63</i>, Article 50. <a href=\"https://doi.org/10.1007/s10543-023-00989-05\">https://doi.org/10.1007/s10543-023-00989-05</a>","ama":"Celledoni E, Glöckner H, Riseth J, Schmeding A. Deep neural networks on diffeomorphism groups for optimal shape reparametrization. <i>BIT Numerical Mathematics</i>. 2023;63. doi:<a href=\"https://doi.org/10.1007/s10543-023-00989-05\">10.1007/s10543-023-00989-05</a>","chicago":"Celledoni, Elena, Helge Glöckner, Jørgen Riseth, and Alexander Schmeding. “Deep Neural Networks on Diffeomorphism Groups for Optimal Shape Reparametrization.” <i>BIT Numerical Mathematics</i> 63 (2023). <a href=\"https://doi.org/10.1007/s10543-023-00989-05\">https://doi.org/10.1007/s10543-023-00989-05</a>.","ieee":"E. Celledoni, H. Glöckner, J. Riseth, and A. Schmeding, “Deep neural networks on diffeomorphism groups for optimal shape reparametrization,” <i>BIT Numerical Mathematics</i>, vol. 63, Art. no. 50, 2023, doi: <a href=\"https://doi.org/10.1007/s10543-023-00989-05\">10.1007/s10543-023-00989-05</a>."},"intvolume":"        63","year":"2023","quality_controlled":"1","language":[{"iso":"eng"}],"article_number":"50","user_id":"178","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"_id":"34803","external_id":{"arxiv":["2207.11141"]},"status":"public","type":"journal_article","publication":"BIT Numerical Mathematics"},{"status":"public","type":"journal_article","_id":"34805","user_id":"178","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"citation":{"bibtex":"@article{Glöckner_2023, title={Diffeomorphism groups of convex polytopes}, volume={30}, number={1}, journal={Journal of Convex Analysis}, publisher={Heldermann}, author={Glöckner, Helge}, year={2023}, pages={343–358} }","short":"H. Glöckner, Journal of Convex Analysis 30 (2023) 343–358.","mla":"Glöckner, Helge. “Diffeomorphism Groups of Convex Polytopes.” <i>Journal of Convex Analysis</i>, vol. 30, no. 1, Heldermann, 2023, pp. 343–58.","apa":"Glöckner, H. (2023). Diffeomorphism groups of convex polytopes. <i>Journal of Convex Analysis</i>, <i>30</i>(1), 343–358.","ieee":"H. Glöckner, “Diffeomorphism groups of convex polytopes,” <i>Journal of Convex Analysis</i>, vol. 30, no. 1, pp. 343–358, 2023.","chicago":"Glöckner, Helge. “Diffeomorphism Groups of Convex Polytopes.” <i>Journal of Convex Analysis</i> 30, no. 1 (2023): 343–58.","ama":"Glöckner H. Diffeomorphism groups of convex polytopes. <i>Journal of Convex Analysis</i>. 2023;30(1):343-358."},"intvolume":"        30","page":"343-358","date_updated":"2024-08-09T08:49:17Z","author":[{"first_name":"Helge","id":"178","full_name":"Glöckner, Helge","last_name":"Glöckner"}],"volume":30,"abstract":[{"lang":"eng","text":"Let $E$ be a finite-dimensional real vector space and $M\\subseteq E$ be a\r\nconvex polytope with non-empty interior. We turn the group of all\r\n$C^\\infty$-diffeomorphisms of $M$ into a regular Lie group."}],"publication":"Journal of Convex Analysis","language":[{"iso":"eng"}],"external_id":{"arxiv":["2203.09285"]},"year":"2023","quality_controlled":"1","issue":"1","title":"Diffeomorphism groups of convex polytopes","publisher":"Heldermann","date_created":"2022-12-22T07:45:13Z"},{"status":"public","publication":"Journal of Lie Theory","type":"journal_article","language":[{"iso":"eng"}],"department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"user_id":"178","external_id":{"arxiv":["2210.01246"]},"_id":"34801","intvolume":"        33","page":"271-296","citation":{"apa":"Glöckner, H., &#38; Tárrega, L. (2023). Mapping groups associated with real-valued function spaces and direct limits of Sobolev-Lie groups . <i>Journal of Lie Theory</i>, <i>33</i>(1), 271–296.","bibtex":"@article{Glöckner_Tárrega_2023, title={Mapping groups associated with real-valued function spaces and direct limits of Sobolev-Lie groups }, volume={33}, number={1}, journal={Journal of Lie Theory}, publisher={Heldermann}, author={Glöckner, Helge and Tárrega, Luis}, year={2023}, pages={271–296} }","short":"H. Glöckner, L. Tárrega, Journal of Lie Theory 33 (2023) 271–296.","mla":"Glöckner, Helge, and Luis Tárrega. “Mapping Groups Associated with Real-Valued Function Spaces and Direct Limits of Sobolev-Lie Groups .” <i>Journal of Lie Theory</i>, vol. 33, no. 1, Heldermann, 2023, pp. 271–96.","ama":"Glöckner H, Tárrega L. Mapping groups associated with real-valued function spaces and direct limits of Sobolev-Lie groups . <i>Journal of Lie Theory</i>. 2023;33(1):271-296.","ieee":"H. Glöckner and L. Tárrega, “Mapping groups associated with real-valued function spaces and direct limits of Sobolev-Lie groups ,” <i>Journal of Lie Theory</i>, vol. 33, no. 1, pp. 271–296, 2023.","chicago":"Glöckner, Helge, and Luis Tárrega. “Mapping Groups Associated with Real-Valued Function Spaces and Direct Limits of Sobolev-Lie Groups .” <i>Journal of Lie Theory</i> 33, no. 1 (2023): 271–96."},"year":"2023","issue":"1","quality_controlled":"1","title":"Mapping groups associated with real-valued function spaces and direct limits of Sobolev-Lie groups ","volume":33,"date_created":"2022-12-22T07:23:57Z","author":[{"id":"178","full_name":"Glöckner, Helge","last_name":"Glöckner","first_name":"Helge"},{"first_name":"Luis","last_name":"Tárrega","full_name":"Tárrega, Luis"}],"date_updated":"2024-08-09T08:48:51Z","publisher":"Heldermann"},{"status":"public","type":"preprint","language":[{"iso":"eng"}],"external_id":{"arxiv":["2307.03473"]},"_id":"55575","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"user_id":"178","year":"2023","citation":{"short":"J. Jakob, (2023).","bibtex":"@article{Jakob_2023, title={Der Whitneysche Fortsetzungssatz für vektorwertige Funktionen}, author={Jakob, Johanna}, year={2023} }","mla":"Jakob, Johanna. <i>Der Whitneysche Fortsetzungssatz Für Vektorwertige Funktionen</i>. 2023.","apa":"Jakob, J. (2023). <i>Der Whitneysche Fortsetzungssatz für vektorwertige Funktionen</i>.","ieee":"J. Jakob, “Der Whitneysche Fortsetzungssatz für vektorwertige Funktionen.” 2023.","chicago":"Jakob, Johanna. “Der Whitneysche Fortsetzungssatz Für Vektorwertige Funktionen,” 2023.","ama":"Jakob J. Der Whitneysche Fortsetzungssatz für vektorwertige Funktionen. 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A $C^k$-seeley-extension-theorem for Bastiani’s differential calculus. <i>Canadian Journal of Mathematics</i>, <i>75</i>(1), 170–201. <a href=\"https://doi.org/10.4153/s0008414x21000596\">https://doi.org/10.4153/s0008414x21000596</a>"},"intvolume":"        75","page":"170-201","year":"2023","issue":"1","publication_status":"published","publication_identifier":{"issn":["0008-414X","1496-4279"]},"language":[{"iso":"eng"}],"article_type":"original","keyword":["extension of differentiable maps"],"user_id":"30905","department":[{"_id":"93"}],"project":[{"_id":"161","name":"RegLie: Regularität von Lie-Gruppen und Lie's Dritter Satz (RegLie)"}],"_id":"34814","status":"public","type":"journal_article","publication":"Canadian Journal of Mathematics"},{"year":"2023","intvolume":"        63","citation":{"mla":"Hanusch, Maximilian. “The Lax Equation and Weak Regularity of Asymptotic Estimate Lie Groups.” <i>Annals of Global Analysis and Geometry</i>, vol. 63, no. 21, 2023, doi:<a href=\"https://doi.org/10.1007/s10455-023-09888-y\">10.1007/s10455-023-09888-y</a>.","short":"M. 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Decompositions of Analytic 1-Manifolds. <i>Indagationes Mathematicae</i>. 2023;34(4):752-811. doi:<a href=\"https://doi.org/10.1016/j.indag.2023.02.003\">10.1016/j.indag.2023.02.003</a>","chicago":"Hanusch, Maximilian. “Decompositions of Analytic 1-Manifolds.” <i>Indagationes Mathematicae.</i> 34, no. 4 (2023): 752–811. <a href=\"https://doi.org/10.1016/j.indag.2023.02.003\">https://doi.org/10.1016/j.indag.2023.02.003</a>.","ieee":"M. Hanusch, “Decompositions of Analytic 1-Manifolds,” <i>Indagationes Mathematicae.</i>, vol. 34, no. 4, pp. 752–811, 2023, doi: <a href=\"https://doi.org/10.1016/j.indag.2023.02.003\">10.1016/j.indag.2023.02.003</a>.","bibtex":"@article{Hanusch_2023, title={Decompositions of Analytic 1-Manifolds}, volume={34}, DOI={<a href=\"https://doi.org/10.1016/j.indag.2023.02.003\">10.1016/j.indag.2023.02.003</a>}, number={4}, journal={Indagationes Mathematicae.}, author={Hanusch, Maximilian}, year={2023}, pages={752–811} }","short":"M. Hanusch, Indagationes Mathematicae. 34 (2023) 752–811.","mla":"Hanusch, Maximilian. “Decompositions of Analytic 1-Manifolds.” <i>Indagationes Mathematicae.</i>, vol. 34, no. 4, 2023, pp. 752–811, doi:<a href=\"https://doi.org/10.1016/j.indag.2023.02.003\">10.1016/j.indag.2023.02.003</a>.","apa":"Hanusch, M. (2023). Decompositions of Analytic 1-Manifolds. <i>Indagationes Mathematicae.</i>, <i>34</i>(4), 752–811. <a href=\"https://doi.org/10.1016/j.indag.2023.02.003\">https://doi.org/10.1016/j.indag.2023.02.003</a>"},"publication_status":"published","issue":"4","keyword":["Lie group actions and analytic 1-submanifolds"],"language":[{"iso":"eng"}],"_id":"34833","department":[{"_id":"93"}],"user_id":"30905","status":"public","publication":"Indagationes Mathematicae.","type":"journal_article"},{"publication_identifier":{"issn":["2070-0466"]},"quality_controlled":"1","issue":"2","year":"2022","intvolume":"        14","page":"138–144","citation":{"apa":"Glöckner, H. (2022). Non-Lie subgroups in Lie groups over local fields of positive characteristic. <i>P-Adic Numbers, Ultrametric Analysis, and Applications</i>, <i>14</i>(2), 138–144. <a href=\"https://doi.org/10.1134/S2070046622020042\">https://doi.org/10.1134/S2070046622020042</a>","short":"H. Glöckner, P-Adic Numbers, Ultrametric Analysis, and Applications 14 (2022) 138–144.","mla":"Glöckner, Helge. “Non-Lie Subgroups in Lie Groups over Local Fields of Positive Characteristic.” <i>P-Adic Numbers, Ultrametric Analysis, and Applications</i>, vol. 14, no. 2, 2022, pp. 138–144, doi:<a href=\"https://doi.org/10.1134/S2070046622020042\">10.1134/S2070046622020042</a>.","bibtex":"@article{Glöckner_2022, title={Non-Lie subgroups in Lie groups over local fields of positive characteristic}, volume={14}, DOI={<a href=\"https://doi.org/10.1134/S2070046622020042\">10.1134/S2070046622020042</a>}, number={2}, journal={p-Adic Numbers, Ultrametric Analysis, and Applications}, author={Glöckner, Helge}, year={2022}, pages={138–144} }","ama":"Glöckner H. Non-Lie subgroups in Lie groups over local fields of positive characteristic. <i>p-Adic Numbers, Ultrametric Analysis, and Applications</i>. 2022;14(2):138–144. doi:<a href=\"https://doi.org/10.1134/S2070046622020042\">10.1134/S2070046622020042</a>","chicago":"Glöckner, Helge. “Non-Lie Subgroups in Lie Groups over Local Fields of Positive Characteristic.” <i>P-Adic Numbers, Ultrametric Analysis, and Applications</i> 14, no. 2 (2022): 138–144. <a href=\"https://doi.org/10.1134/S2070046622020042\">https://doi.org/10.1134/S2070046622020042</a>.","ieee":"H. Glöckner, “Non-Lie subgroups in Lie groups over local fields of positive characteristic,” <i>p-Adic Numbers, Ultrametric Analysis, and Applications</i>, vol. 14, no. 2, pp. 138–144, 2022, doi: <a href=\"https://doi.org/10.1134/S2070046622020042\">10.1134/S2070046622020042</a>."},"date_updated":"2022-12-21T19:30:25Z","volume":14,"date_created":"2022-12-21T19:27:51Z","author":[{"id":"178","full_name":"Glöckner, Helge","last_name":"Glöckner","first_name":"Helge"}],"title":"Non-Lie subgroups in Lie groups over local fields of positive characteristic","doi":"10.1134/S2070046622020042","publication":"p-Adic Numbers, Ultrametric Analysis, and Applications","type":"journal_article","status":"public","_id":"34792","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"user_id":"178","keyword":["20Exx","22Exx","32Cxx"],"article_type":"original","language":[{"iso":"eng"}]},{"status":"public","type":"journal_article","publication":"Annals of Global Analysis and Geometry","article_type":"original","keyword":["58D15","22E65","26E15","26E20","46E40","46T20","58A05"],"language":[{"iso":"eng"}],"_id":"34791","user_id":"178","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"year":"2022","citation":{"apa":"Glöckner, H., &#38; Schmeding, A. (2022). Manifolds of mappings on Cartesian products. <i>Annals of Global Analysis and Geometry</i>, <i>61</i>(2), 359–398. <a href=\"https://doi.org/10.1007/s10455-021-09816-y\">https://doi.org/10.1007/s10455-021-09816-y</a>","mla":"Glöckner, Helge, and Alexander Schmeding. “Manifolds of Mappings on Cartesian Products.” <i>Annals of Global Analysis and Geometry</i>, vol. 61, no. 2, 2022, pp. 359–398, doi:<a href=\"https://doi.org/10.1007/s10455-021-09816-y\">10.1007/s10455-021-09816-y</a>.","bibtex":"@article{Glöckner_Schmeding_2022, title={Manifolds of mappings on Cartesian products}, volume={61}, DOI={<a href=\"https://doi.org/10.1007/s10455-021-09816-y\">10.1007/s10455-021-09816-y</a>}, number={2}, journal={Annals of Global Analysis and Geometry}, author={Glöckner, Helge and Schmeding, Alexander}, year={2022}, pages={359–398} }","short":"H. Glöckner, A. Schmeding, Annals of Global Analysis and Geometry 61 (2022) 359–398.","ama":"Glöckner H, Schmeding A. Manifolds of mappings on Cartesian products. <i>Annals of Global Analysis and Geometry</i>. 2022;61(2):359–398. doi:<a href=\"https://doi.org/10.1007/s10455-021-09816-y\">10.1007/s10455-021-09816-y</a>","chicago":"Glöckner, Helge, and Alexander Schmeding. “Manifolds of Mappings on Cartesian Products.” <i>Annals of Global Analysis and Geometry</i> 61, no. 2 (2022): 359–398. <a href=\"https://doi.org/10.1007/s10455-021-09816-y\">https://doi.org/10.1007/s10455-021-09816-y</a>.","ieee":"H. Glöckner and A. Schmeding, “Manifolds of mappings on Cartesian products,” <i>Annals of Global Analysis and Geometry</i>, vol. 61, no. 2, pp. 359–398, 2022, doi: <a href=\"https://doi.org/10.1007/s10455-021-09816-y\">10.1007/s10455-021-09816-y</a>."},"intvolume":"        61","page":"359–398","publication_identifier":{"issn":["0232-704X"]},"quality_controlled":"1","issue":"2","title":"Manifolds of mappings on Cartesian products","doi":"10.1007/s10455-021-09816-y","date_updated":"2022-12-21T19:27:09Z","date_created":"2022-12-21T19:24:48Z","author":[{"id":"178","full_name":"Glöckner, Helge","last_name":"Glöckner","first_name":"Helge"},{"first_name":"Alexander","last_name":"Schmeding","full_name":"Schmeding, Alexander"}],"volume":61},{"language":[{"iso":"eng"}],"article_type":"original","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"user_id":"178","_id":"34796","status":"public","abstract":[{"lang":"eng","text":"We prove various results in infinite-dimensional differential calculus that relate the differentiability properties of functions and associated operator-valued functions (e.g., differentials). The results are applied in two areas: (1) in the theory of infinite-dimensional vector bundles, to construct new bundles from given ones, such as dual bundles, topological tensor products, infinite direct sums, and completions (under suitable hypotheses); (2) in the theory of locally convex Poisson vector spaces, to prove continuity of the Poisson bracket and continuity of passage from a function to the associated Hamiltonian vector field. Topological properties of topological vector spaces are essential for the studies, which allow the hypocontinuity of bilinear mappings to be exploited. Notably, we encounter kR-spaces and locally convex spaces E such that E&times;E is a kR-space."}],"publication":"Axioms","type":"journal_article","doi":"10.3390/axioms11050221","title":"Aspects of differential calculus related to infinite-dimensional vector bundles and Poisson vector spaces","volume":11,"author":[{"full_name":"Glöckner, Helge","id":"178","last_name":"Glöckner","first_name":"Helge"}],"date_created":"2022-12-21T20:02:29Z","date_updated":"2022-12-22T07:31:55Z","intvolume":"        11","citation":{"apa":"Glöckner, H. (2022). Aspects of differential calculus related to infinite-dimensional vector bundles and Poisson vector spaces. <i>Axioms</i>, <i>11</i>(5). <a href=\"https://doi.org/10.3390/axioms11050221\">https://doi.org/10.3390/axioms11050221</a>","short":"H. Glöckner, Axioms 11 (2022).","mla":"Glöckner, Helge. “Aspects of Differential Calculus Related to Infinite-Dimensional Vector Bundles and Poisson Vector Spaces.” <i>Axioms</i>, vol. 11, no. 5, 2022, doi:<a href=\"https://doi.org/10.3390/axioms11050221\">10.3390/axioms11050221</a>.","bibtex":"@article{Glöckner_2022, title={Aspects of differential calculus related to infinite-dimensional vector bundles and Poisson vector spaces}, volume={11}, DOI={<a href=\"https://doi.org/10.3390/axioms11050221\">10.3390/axioms11050221</a>}, number={5}, journal={Axioms}, author={Glöckner, Helge}, year={2022} }","ama":"Glöckner H. Aspects of differential calculus related to infinite-dimensional vector bundles and Poisson vector spaces. <i>Axioms</i>. 2022;11(5). doi:<a href=\"https://doi.org/10.3390/axioms11050221\">10.3390/axioms11050221</a>","chicago":"Glöckner, Helge. “Aspects of Differential Calculus Related to Infinite-Dimensional Vector Bundles and Poisson Vector Spaces.” <i>Axioms</i> 11, no. 5 (2022). <a href=\"https://doi.org/10.3390/axioms11050221\">https://doi.org/10.3390/axioms11050221</a>.","ieee":"H. Glöckner, “Aspects of differential calculus related to infinite-dimensional vector bundles and Poisson vector spaces,” <i>Axioms</i>, vol. 11, no. 5, 2022, doi: <a href=\"https://doi.org/10.3390/axioms11050221\">10.3390/axioms11050221</a>."},"year":"2022","issue":"5","publication_identifier":{"issn":["2075-1680"]},"quality_controlled":"1"},{"citation":{"mla":"Glöckner, Helge. “Birkhoff Decompositions for Loop Groups with Coefficient Algebras.” <i>ArXiv:2206.11711</i>, 2022.","bibtex":"@article{Glöckner_2022, title={Birkhoff decompositions for loop groups with coefficient algebras}, journal={arXiv:2206.11711}, author={Glöckner, Helge}, year={2022} }","short":"H. Glöckner, ArXiv:2206.11711 (2022).","apa":"Glöckner, H. (2022). Birkhoff decompositions for loop groups with coefficient algebras. In <i>arXiv:2206.11711</i>.","ama":"Glöckner H. Birkhoff decompositions for loop groups with coefficient algebras. <i>arXiv:220611711</i>. Published online 2022.","ieee":"H. Glöckner, “Birkhoff decompositions for loop groups with coefficient algebras,” <i>arXiv:2206.11711</i>. 2022.","chicago":"Glöckner, Helge. “Birkhoff Decompositions for Loop Groups with Coefficient Algebras.” <i>ArXiv:2206.11711</i>, 2022."},"year":"2022","title":"Birkhoff decompositions for loop groups with coefficient algebras","author":[{"first_name":"Helge","id":"178","full_name":"Glöckner, Helge","last_name":"Glöckner"}],"date_created":"2022-12-22T07:42:07Z","date_updated":"2022-12-22T07:44:08Z","status":"public","abstract":[{"text":"Starting with a finite-dimensional complex Lie algebra, we extend scalars\r\nusing suitable commutative topological algebras. We study Birkhoff\r\ndecompositions for the corresponding loop groups. Some results remain valid for\r\nloop groups with valued in complex Banach-Lie groups.","lang":"eng"}],"publication":"arXiv:2206.11711","type":"preprint","language":[{"iso":"eng"}],"department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"user_id":"178","_id":"34804","external_id":{"arxiv":["2206.11711"]}},{"status":"public","type":"journal_article","article_type":"original","extern":"1","_id":"34817","department":[{"_id":"93"}],"user_id":"30905","page":"53-152","intvolume":"        30","citation":{"ama":"Hanusch M. Regularity of Lie groups. <i>Communications in Analysis and Geometry</i>. 2022;30(1):53-152. doi:<a href=\"https://doi.org/10.4310/cag.2022.v30.n1.a2\">10.4310/cag.2022.v30.n1.a2</a>","ieee":"M. Hanusch, “Regularity of Lie groups,” <i>Communications in Analysis and Geometry</i>, vol. 30, no. 1, pp. 53–152, 2022, doi: <a href=\"https://doi.org/10.4310/cag.2022.v30.n1.a2\">10.4310/cag.2022.v30.n1.a2</a>.","chicago":"Hanusch, Maximilian. “Regularity of Lie Groups.” <i>Communications in Analysis and Geometry</i> 30, no. 1 (2022): 53–152. <a href=\"https://doi.org/10.4310/cag.2022.v30.n1.a2\">https://doi.org/10.4310/cag.2022.v30.n1.a2</a>.","apa":"Hanusch, M. (2022). Regularity of Lie groups. <i>Communications in Analysis and Geometry</i>, <i>30</i>(1), 53–152. <a href=\"https://doi.org/10.4310/cag.2022.v30.n1.a2\">https://doi.org/10.4310/cag.2022.v30.n1.a2</a>","short":"M. Hanusch, Communications in Analysis and Geometry 30 (2022) 53–152.","mla":"Hanusch, Maximilian. “Regularity of Lie Groups.” <i>Communications in Analysis and Geometry</i>, vol. 30, no. 1, International Press of Boston, 2022, pp. 53–152, doi:<a href=\"https://doi.org/10.4310/cag.2022.v30.n1.a2\">10.4310/cag.2022.v30.n1.a2</a>.","bibtex":"@article{Hanusch_2022, title={Regularity of Lie groups}, volume={30}, DOI={<a href=\"https://doi.org/10.4310/cag.2022.v30.n1.a2\">10.4310/cag.2022.v30.n1.a2</a>}, number={1}, journal={Communications in Analysis and Geometry}, publisher={International Press of Boston}, author={Hanusch, Maximilian}, year={2022}, pages={53–152} }"},"publication_identifier":{"issn":["1019-8385","1944-9992"]},"publication_status":"published","doi":"10.4310/cag.2022.v30.n1.a2","date_updated":"2023-01-09T18:07:30Z","volume":30,"author":[{"full_name":"Hanusch, Maximilian","id":"30905","last_name":"Hanusch","first_name":"Maximilian"}],"publication":"Communications in Analysis and Geometry","keyword":["regularity of Lie groups"],"language":[{"iso":"eng"}],"year":"2022","issue":"1","title":"Regularity of Lie groups","publisher":"International Press of Boston","date_created":"2022-12-22T09:19:43Z"},{"publication_status":"draft","year":"2022","citation":{"bibtex":"@book{Hanusch, title={Analysis 1 und 2 Skript/Buch}, publisher={https://maximilianhanusch.wixsite.com/my-site/lehre-teaching}, author={Hanusch, Maximilian} }","mla":"Hanusch, Maximilian. <i>Analysis 1 und 2 Skript/Buch</i>. https://maximilianhanusch.wixsite.com/my-site/lehre-teaching.","short":"M. Hanusch, Analysis 1 und 2 Skript/Buch, https://maximilianhanusch.wixsite.com/my-site/lehre-teaching, n.d.","apa":"Hanusch, M. (n.d.). <i>Analysis 1 und 2 Skript/Buch</i>. https://maximilianhanusch.wixsite.com/my-site/lehre-teaching.","chicago":"Hanusch, Maximilian. <i>Analysis 1 und 2 Skript/Buch</i>. https://maximilianhanusch.wixsite.com/my-site/lehre-teaching, n.d.","ieee":"M. Hanusch, <i>Analysis 1 und 2 Skript/Buch</i>. https://maximilianhanusch.wixsite.com/my-site/lehre-teaching.","ama":"Hanusch M. <i>Analysis 1 und 2 Skript/Buch</i>. https://maximilianhanusch.wixsite.com/my-site/lehre-teaching"},"page":"385","date_updated":"2023-01-09T18:07:00Z","publisher":"https://maximilianhanusch.wixsite.com/my-site/lehre-teaching","date_created":"2022-12-22T17:06:02Z","author":[{"full_name":"Hanusch, Maximilian","id":"30905","last_name":"Hanusch","first_name":"Maximilian"}],"title":"Analysis 1 und 2 Skript/Buch","type":"working_paper","status":"public","_id":"34856","user_id":"30905","department":[{"_id":"93"}],"language":[{"iso":"ger"}]},{"abstract":[{"lang":"eng","text":"A locally compact contraction group is a pair (G,α), where G is a locally compact group and α:G→G an automorphism such that αn(x)→e pointwise as n→∞. We show that every surjective, continuous, equivariant homomorphism between locally compact contraction groups admits an equivariant continuous global section. As a consequence, extensions of locally compact contraction groups with abelian kernel can be described by continuous equivariant cohomology. For each prime number p, we use 2-cocycles to construct uncountably many pairwise non-isomorphic totally disconnected, locally compact contraction groups (G,α) which are central extensions0→Fp((t))→G→Fp((t))→0 of the additive group of the field of formal Laurent series over Fp=Z/pZ by itself. By contrast, there are only countably many locally compact contraction groups (up to isomorphism) which are torsion groups and abelian, as follows from a classification of the abelian locally compact contraction groups."}],"publication":"Journal of Algebra","keyword":["Contraction group","Torsion group","Extension","Cocycle","Section","Equivariant cohomology","Abelian group","Nilpotent group","Isomorphism types"],"language":[{"iso":"eng"}],"year":"2021","quality_controlled":"1","title":"Decompositions of locally compact contraction groups, series and extensions","date_created":"2022-12-21T18:43:08Z","status":"public","type":"journal_article","article_type":"original","_id":"34786","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"user_id":"178","intvolume":"       570","page":"164-214","citation":{"bibtex":"@article{Glöckner_Willis_2021, title={Decompositions of locally compact contraction groups, series and extensions}, volume={570}, DOI={<a href=\"https://doi.org/10.1016/j.jalgebra.2020.11.007\">https://doi.org/10.1016/j.jalgebra.2020.11.007</a>}, journal={Journal of Algebra}, author={Glöckner, Helge and Willis, George A.}, year={2021}, pages={164–214} }","mla":"Glöckner, Helge, and George A. Willis. “Decompositions of Locally Compact Contraction Groups, Series and Extensions.” <i>Journal of Algebra</i>, vol. 570, 2021, pp. 164–214, doi:<a href=\"https://doi.org/10.1016/j.jalgebra.2020.11.007\">https://doi.org/10.1016/j.jalgebra.2020.11.007</a>.","short":"H. Glöckner, G.A. Willis, Journal of Algebra 570 (2021) 164–214.","apa":"Glöckner, H., &#38; Willis, G. A. (2021). Decompositions of locally compact contraction groups, series and extensions. <i>Journal of Algebra</i>, <i>570</i>, 164–214. <a href=\"https://doi.org/10.1016/j.jalgebra.2020.11.007\">https://doi.org/10.1016/j.jalgebra.2020.11.007</a>","chicago":"Glöckner, Helge, and George A. Willis. “Decompositions of Locally Compact Contraction Groups, Series and Extensions.” <i>Journal of Algebra</i> 570 (2021): 164–214. <a href=\"https://doi.org/10.1016/j.jalgebra.2020.11.007\">https://doi.org/10.1016/j.jalgebra.2020.11.007</a>.","ieee":"H. Glöckner and G. A. Willis, “Decompositions of locally compact contraction groups, series and extensions,” <i>Journal of Algebra</i>, vol. 570, pp. 164–214, 2021, doi: <a href=\"https://doi.org/10.1016/j.jalgebra.2020.11.007\">https://doi.org/10.1016/j.jalgebra.2020.11.007</a>.","ama":"Glöckner H, Willis GA. Decompositions of locally compact contraction groups, series and extensions. <i>Journal of Algebra</i>. 2021;570:164-214. doi:<a href=\"https://doi.org/10.1016/j.jalgebra.2020.11.007\">https://doi.org/10.1016/j.jalgebra.2020.11.007</a>"},"publication_identifier":{"issn":["0021-8693"]},"doi":"https://doi.org/10.1016/j.jalgebra.2020.11.007","date_updated":"2022-12-21T18:58:44Z","volume":570,"author":[{"id":"178","full_name":"Glöckner, Helge","last_name":"Glöckner","first_name":"Helge"},{"first_name":"George A.","last_name":"Willis","full_name":"Willis, George A."}]},{"article_type":"original","language":[{"iso":"eng"}],"_id":"34795","user_id":"178","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"status":"public","type":"journal_article","publication":"Mathematische Nachrichten","title":"Direct limits of regular Lie groups","doi":"10.1002/mana.201900073","date_updated":"2022-12-21T20:00:29Z","date_created":"2022-12-21T19:57:32Z","author":[{"first_name":"Helge","full_name":"Glöckner, Helge","id":"178","last_name":"Glöckner"}],"volume":294,"year":"2021","citation":{"chicago":"Glöckner, Helge. “Direct Limits of Regular Lie Groups.” <i>Mathematische Nachrichten</i> 294, no. 1 (2021): 74–81. <a href=\"https://doi.org/10.1002/mana.201900073\">https://doi.org/10.1002/mana.201900073</a>.","ieee":"H. Glöckner, “Direct limits of regular Lie groups,” <i>Mathematische Nachrichten</i>, vol. 294, no. 1, pp. 74–81, 2021, doi: <a href=\"https://doi.org/10.1002/mana.201900073\">10.1002/mana.201900073</a>.","ama":"Glöckner H. Direct limits of regular Lie groups. <i>Mathematische Nachrichten</i>. 2021;294(1):74–81. doi:<a href=\"https://doi.org/10.1002/mana.201900073\">10.1002/mana.201900073</a>","mla":"Glöckner, Helge. “Direct Limits of Regular Lie Groups.” <i>Mathematische Nachrichten</i>, vol. 294, no. 1, 2021, pp. 74–81, doi:<a href=\"https://doi.org/10.1002/mana.201900073\">10.1002/mana.201900073</a>.","bibtex":"@article{Glöckner_2021, title={Direct limits of regular Lie groups}, volume={294}, DOI={<a href=\"https://doi.org/10.1002/mana.201900073\">10.1002/mana.201900073</a>}, number={1}, journal={Mathematische Nachrichten}, author={Glöckner, Helge}, year={2021}, pages={74–81} }","short":"H. Glöckner, Mathematische Nachrichten 294 (2021) 74–81.","apa":"Glöckner, H. (2021). Direct limits of regular Lie groups. <i>Mathematische Nachrichten</i>, <i>294</i>(1), 74–81. <a href=\"https://doi.org/10.1002/mana.201900073\">https://doi.org/10.1002/mana.201900073</a>"},"page":"74–81","intvolume":"       294","quality_controlled":"1","publication_identifier":{"issn":["0025-584X"]},"issue":"1"},{"type":"preprint","publication":"arXiv:2101.02981","abstract":[{"text":"Let $G$ be a Lie group over a totally disconnected local field and $\\alpha$\r\nbe an analytic endomorphism of $G$. The contraction group of $\\alpha$ ist the\r\nset of all $x\\in G$ such that $\\alpha^n(x)\\to e$ as $n\\to\\infty$. Call sequence\r\n$(x_{-n})_{n\\geq 0}$ in $G$ an $\\alpha$-regressive trajectory for $x\\in G$ if\r\n$\\alpha(x_{-n})=x_{-n+1}$ for all $n\\geq 1$ and $x_0=x$. The anti-contraction\r\ngroup of $\\alpha$ is the set of all $x\\in G$ admitting an $\\alpha$-regressive\r\ntrajectory $(x_{-n})_{n\\geq 0}$ such that $x_{-n}\\to e$ as $n\\to\\infty$. The\r\nLevi subgroup is the set of all $x\\in G$ whose $\\alpha$-orbit is relatively\r\ncompact, and such that $x$ admits an $\\alpha$-regressive trajectory\r\n$(x_{-n})_{n\\geq 0}$ such that $\\{x_{-n}\\colon n\\geq 0\\}$ is relatively\r\ncompact. The big cell associated to $\\alpha$ is the set $\\Omega$ of all all\r\nproducts $xyz$ with $x$ in the contraction group, $y$ in the Levi subgroup and\r\n$z$ in the anti-contraction group. Let $\\pi$ be the mapping from the cartesian\r\nproduct of the contraction group, Levi subgroup and anti-contraction group to\r\n$\\Omega$ which maps $(x,y,z)$ to $xyz$. We show: $\\Omega$ is open in $G$ and\r\n$\\pi$ is \\'{e}tale for suitable immersed Lie subgroup structures on the three\r\nsubgroups just mentioned. Moreover, we study group-theoretic properties of\r\ncontraction groups and anti-contraction groups.","lang":"eng"}],"status":"public","external_id":{"arxiv":["2101.02981"]},"_id":"34806","user_id":"178","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"language":[{"iso":"eng"}],"year":"2021","citation":{"bibtex":"@article{Glöckner_2021, title={Contraction groups and the big cell for endomorphisms of Lie groups over  local fields}, journal={arXiv:2101.02981}, author={Glöckner, Helge}, year={2021} }","short":"H. Glöckner, ArXiv:2101.02981 (2021).","mla":"Glöckner, Helge. “Contraction Groups and the Big Cell for Endomorphisms of Lie Groups over  Local Fields.” <i>ArXiv:2101.02981</i>, 2021.","apa":"Glöckner, H. (2021). Contraction groups and the big cell for endomorphisms of Lie groups over  local fields. In <i>arXiv:2101.02981</i>.","ieee":"H. Glöckner, “Contraction groups and the big cell for endomorphisms of Lie groups over  local fields,” <i>arXiv:2101.02981</i>. 2021.","chicago":"Glöckner, Helge. “Contraction Groups and the Big Cell for Endomorphisms of Lie Groups over  Local Fields.” <i>ArXiv:2101.02981</i>, 2021.","ama":"Glöckner H. Contraction groups and the big cell for endomorphisms of Lie groups over  local fields. <i>arXiv:210102981</i>. Published online 2021."},"date_updated":"2022-12-22T07:48:29Z","date_created":"2022-12-22T07:47:35Z","author":[{"last_name":"Glöckner","full_name":"Glöckner, Helge","id":"178","first_name":"Helge"}],"title":"Contraction groups and the big cell for endomorphisms of Lie groups over  local fields"},{"publication":"Differential Geometry and its Applications","keyword":["Geometry and Topology","Analysis"],"language":[{"iso":"eng"}],"year":"2021","title":"Symmetries of analytic curves","publisher":"Elsevier BV","date_created":"2022-12-22T09:20:30Z","status":"public","type":"journal_article","article_number":"101687","article_type":"original","extern":"1","_id":"34818","user_id":"30905","department":[{"_id":"93"}],"citation":{"ama":"Hanusch M. 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