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33 Publications
2023 | Journal Article | LibreCat-ID: 34793
Glöckner, Helge, and Joachim Hilgert. “Aspects of Control Theory on Infinite-Dimensional Lie Groups and G-Manifolds.” Journal of Differential Equations 343 (2023): 186–232. https://doi.org/10.1016/j.jde.2022.10.001.
LibreCat
| DOI
| arXiv
2022 | Journal Article | LibreCat-ID: 34791
Glöckner, Helge, and Alexander Schmeding. “Manifolds of Mappings on Cartesian Products.” Annals of Global Analysis and Geometry 61, no. 2 (2022): 359–398. https://doi.org/10.1007/s10455-021-09816-y.
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| DOI
2020 | Journal Article | LibreCat-ID: 34789
Amiri, Habib, Helge Glöckner, and Alexander Schmeding. “Lie Groupoids of Mappings Taking Values in a Lie Groupoid.” Archivum Mathematicum 56, no. 5 (2020): 307–356. https://doi.org/10.5817/AM2020-5-307.
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 64756
Walter, Boris. “Weighted Diffeomorphism Groups of Riemannian Manifolds.” Indagationes Mathematicae 30, no. 4 (2019): 669–705. https://doi.org/10.1016/j.indag.2019.03.003.
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| DOI
2019 | Journal Article | LibreCat-ID: 64630
Glöckner, Helge. “Completeness of Infinite-Dimensional Lie Groups in Their Left Uniformity.” Canadian Journal of Mathematics 71, no. 1 (2019): 131–152. https://doi.org/10.4153/CJM-2017-048-5.
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2017 | Book Chapter | LibreCat-ID: 64768
Nikitin, Natalie. “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, 363–373. Warsaw: Polish Academy of Sciences, Institute of Mathematics, 2017. https://doi.org/10.4064/bc113-0-17.
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| DOI
2017 | Journal Article | LibreCat-ID: 64634
Glöckner, Helge. “Completeness of Locally K_ω-Groups and Related Infinite-Dimensional Lie Groups.” Topology and Its Applications 228 (2017): 277–284. https://doi.org/10.1016/j.topol.2017.05.007.
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| DOI
2015 | Journal Article | LibreCat-ID: 64752
Schmeding, A. “The Diffeomorphism Group of a Non-Compact Orbifold.” Dissertationes Mathematicae 507 (2015): 179. https://doi.org/10.4064/dm507-0-1.
LibreCat
| DOI
2014 | Book Chapter | LibreCat-ID: 64751
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.
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2012 | Journal Article | LibreCat-ID: 64754
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.
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| DOI
2012 | Journal Article | LibreCat-ID: 64673
Glöckner, Helge, and Bastian Langkamp. “Topological Algebras of Rapidly Decreasing Matrices and Generalizations.” Topology and Its Applications 159, no. 9 (2012): 2420–2422. https://doi.org/10.1016/j.topol.2011.09.048.
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| DOI
2012 | Journal Article | LibreCat-ID: 64671
Glöckner, Helge, and Karl-Hermann Neeb. “When Unit Groups of Continuous Inverse Algebras Are Regular Lie Groups.” Studia Mathematica 211, no. 2 (2012): 95–109. https://doi.org/10.4064/sm211-2-1.
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2011 | Book Chapter | LibreCat-ID: 64675
Glöckner, Helge. “Direct Limits of Infinite-Dimensional Lie Groups.” In Developments and Trends in Infinite-Dimensional Lie Theory, 243–280. Basel: Birkhäuser, 2011. https://doi.org/10.1007/978-0-8176-4741-4_8.
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| DOI
2010 | Journal Article | LibreCat-ID: 64746
Dahmen, Rafael. “Analytic Mappings between LB-Spaces and Applications in Infinite-Dimensional Lie Theory.” Mathematische Zeitschrift 266, no. 1 (2010): 115–140. https://doi.org/10.1007/s00209-009-0557-0.
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2010 | Journal Article | LibreCat-ID: 64679
Glöckner, Helge, Ralf Gramlich, and Tobias Hartnick. “Final Group Topologies, Kac-Moody Groups and Pontryagin Duality.” Israel Journal of Mathematics 177 (2010): 49–101. https://doi.org/10.1007/s11856-010-0038-5.
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| DOI
2008 | Journal Article | LibreCat-ID: 64684
Glöckner, Helge. “Solutions to Open Problems in Neeb’s Recent Survey on Infinite-Dimensional Lie Groups.” Geometriae Dedicata 135 (2008): 71–86. https://doi.org/10.1007/s10711-008-9263-z.
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2007 | Journal Article | LibreCat-ID: 64690
Glöckner, Helge. “Direct Limits of Infinite-Dimensional Lie Groups Compared to Direct Limits in Related Categories.” Journal of Functional Analysis 245, no. 1 (2007): 19–61. https://doi.org/10.1016/j.jfa.2006.12.018.
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2007 | Journal Article | LibreCat-ID: 64688
Glöckner, Helge. “Simplified Proofs for the Pro-Lie Group Theorem and the One-Parameter Subgroup Lifting Lemma.” Journal of Lie Theory 17, no. 4 (2007): 899–902.
LibreCat
2006 | Journal Article | LibreCat-ID: 64697
Glöckner, Helge. “Discontinuous Non-Linear Mappings on Locally Convex Direct Limits.” Publicationes Mathematicae Debrecen 68, no. 1–2 (2006): 1–13. https://doi.org/10.5486/pmd.2006.2714.
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| DOI
2006 | Journal Article | LibreCat-ID: 64698
Glöckner, Helge. “Every Smooth P-Adic Lie Group Admits a Compatible Analytic Structure.” Forum Mathematicum 18, no. 1 (2006): 45–84. https://doi.org/10.1515/FORUM.2006.003.
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