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33 Publications
2023 | Journal Article | LibreCat-ID: 34793
H. Glöckner and J. Hilgert, “Aspects of control theory on infinite-dimensional Lie groups and G-manifolds,” Journal of Differential Equations, vol. 343, pp. 186–232, 2023, doi: 10.1016/j.jde.2022.10.001.
LibreCat
| DOI
| arXiv
2022 | Journal Article | LibreCat-ID: 34791
H. Glöckner and A. Schmeding, “Manifolds of mappings on Cartesian products,” Annals of Global Analysis and Geometry, vol. 61, no. 2, pp. 359–398, 2022, doi: 10.1007/s10455-021-09816-y.
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| DOI
2020 | Journal Article | LibreCat-ID: 34789
H. Amiri, H. Glöckner, and A. Schmeding, “Lie groupoids of mappings taking values in a Lie groupoid,” Archivum Mathematicum, vol. 56, no. 5, pp. 307–356, 2020, doi: 10.5817/AM2020-5-307.
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 64756
B. Walter, “Weighted diffeomorphism groups of Riemannian manifolds,” Indagationes Mathematicae, vol. 30, no. 4, pp. 669–705, 2019, doi: 10.1016/j.indag.2019.03.003.
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| DOI
2019 | Journal Article | LibreCat-ID: 64630
H. Glöckner, “Completeness of infinite-dimensional Lie groups in their left uniformity,” Canadian Journal of Mathematics, vol. 71, no. 1, pp. 131–152, 2019, doi: 10.4153/CJM-2017-048-5.
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| DOI
2017 | Book Chapter | LibreCat-ID: 64768
N. Nikitin, “Differentiability along one-parameter subgroups compared to differentiability on Lie groups as manifolds,” in 50th Seminar “Sophus Lie”, Będlewo, Poland, September 26 – October 1, 2016. Dedicated to Professor Karl Heinrich Hofmann on the occasion of his 85th birthday, Warsaw: Polish Academy of Sciences, Institute of Mathematics, 2017, pp. 363–373.
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2017 | Journal Article | LibreCat-ID: 64634
H. Glöckner, “Completeness of locally k_ω-groups and related infinite-dimensional Lie groups,” Topology and its Applications, vol. 228, pp. 277–284, 2017, doi: 10.1016/j.topol.2017.05.007.
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2015 | Journal Article | LibreCat-ID: 64752
A. Schmeding, “The diffeomorphism group of a non-compact orbifold,” Dissertationes Mathematicae, vol. 507, p. 179, 2015, doi: 10.4064/dm507-0-1.
LibreCat
| DOI
2012 | Journal Article | LibreCat-ID: 64754
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.
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| DOI
2012 | Journal Article | LibreCat-ID: 64673
H. Glöckner and B. Langkamp, “Topological algebras of rapidly decreasing matrices and generalizations,” Topology and its Applications, vol. 159, no. 9, pp. 2420–2422, 2012, doi: 10.1016/j.topol.2011.09.048.
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2012 | Journal Article | LibreCat-ID: 64671
H. Glöckner and K.-H. Neeb, “When unit groups of continuous inverse algebras are regular Lie groups,” Studia Mathematica, vol. 211, no. 2, pp. 95–109, 2012, doi: 10.4064/sm211-2-1.
LibreCat
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2010 | Journal Article | LibreCat-ID: 64746
R. Dahmen, “Analytic mappings between LB-spaces and applications in infinite-dimensional Lie theory,” Mathematische Zeitschrift, vol. 266, no. 1, pp. 115–140, 2010, doi: 10.1007/s00209-009-0557-0.
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2010 | Journal Article | LibreCat-ID: 64679
H. Glöckner, R. Gramlich, and T. Hartnick, “Final group topologies, Kac-Moody groups and Pontryagin duality,” Israel Journal of Mathematics, vol. 177, pp. 49–101, 2010, doi: 10.1007/s11856-010-0038-5.
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2008 | Journal Article | LibreCat-ID: 64684
H. Glöckner, “Solutions to open problems in Neeb’s recent survey on infinite-dimensional Lie groups,” Geometriae Dedicata, vol. 135, pp. 71–86, 2008, doi: 10.1007/s10711-008-9263-z.
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| DOI
2007 | Journal Article | LibreCat-ID: 64690
H. Glöckner, “Direct limits of infinite-dimensional Lie groups compared to direct limits in related categories,” Journal of Functional Analysis, vol. 245, no. 1, pp. 19–61, 2007, doi: 10.1016/j.jfa.2006.12.018.
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| DOI
2007 | Journal Article | LibreCat-ID: 64688
H. Glöckner, “Simplified proofs for the pro-Lie group theorem and the one-parameter subgroup lifting lemma,” Journal of Lie Theory, vol. 17, no. 4, pp. 899–902, 2007.
LibreCat
2006 | Journal Article | LibreCat-ID: 64697
H. Glöckner, “Discontinuous non-linear mappings on locally convex direct limits,” Publicationes Mathematicae Debrecen, vol. 68, no. 1–2, pp. 1–13, 2006, doi: 10.5486/pmd.2006.2714.
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| DOI
2006 | Journal Article | LibreCat-ID: 64698
H. Glöckner, “Every smooth p-adic Lie group admits a compatible analytic structure,” Forum Mathematicum, vol. 18, no. 1, pp. 45–84, 2006, doi: 10.1515/FORUM.2006.003.
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