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16 Publications


2023 | Journal Article | LibreCat-ID: 34803
Celledoni, Elena, Helge Glöckner, Jørgen Riseth, and Alexander Schmeding. “Deep Neural Networks on Diffeomorphism Groups for Optimal Shape Reparametrization.” BIT Numerical Mathematics 63 (2023). https://doi.org/10.1007/s10543-023-00989-05.
LibreCat | DOI | arXiv
 

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
 

2023 | Journal Article | LibreCat-ID: 34805
Glöckner, Helge. “Diffeomorphism Groups of Convex Polytopes.” Journal of Convex Analysis 30, no. 1 (2023): 343–58.
LibreCat | arXiv
 

2023 | Journal Article | LibreCat-ID: 34801
Glöckner, Helge, and Luis Tárrega. “Mapping Groups Associated with Real-Valued Function Spaces and Direct Limits of Sobolev-Lie Groups .” Journal of Lie Theory 33, no. 1 (2023): 271–96.
LibreCat | arXiv
 

2022 | Journal Article | LibreCat-ID: 34792
Glöckner, Helge. “Non-Lie Subgroups in Lie Groups over Local Fields of Positive Characteristic.” P-Adic Numbers, Ultrametric Analysis, and Applications 14, no. 2 (2022): 138–144. https://doi.org/10.1134/S2070046622020042.
LibreCat | DOI
 

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.
LibreCat | DOI
 

2022 | Journal Article | LibreCat-ID: 34796
Glöckner, Helge. “Aspects of Differential Calculus Related to Infinite-Dimensional Vector Bundles and Poisson Vector Spaces.” Axioms 11, no. 5 (2022). https://doi.org/10.3390/axioms11050221.
LibreCat | DOI
 

2022 | Preprint | LibreCat-ID: 34804
Glöckner, Helge. “Birkhoff Decompositions for Loop Groups with Coefficient Algebras.” ArXiv:2206.11711, 2022.
LibreCat | arXiv
 

2021 | Journal Article | LibreCat-ID: 34786
Glöckner, Helge, and George A. Willis. “Decompositions of Locally Compact Contraction Groups, Series and Extensions.” Journal of Algebra 570 (2021): 164–214. https://doi.org/10.1016/j.jalgebra.2020.11.007.
LibreCat | DOI
 

2021 | Journal Article | LibreCat-ID: 34790
Glöckner, Helge, and George A. Willis. “Locally Pro-p Contraction Groups Are Nilpotent.” J. Reine Angew. Math. 781 (2021): 85–103. https://doi.org/10.1515/crelle-2021-0050.
LibreCat | DOI
 

2021 | Journal Article | LibreCat-ID: 34795
Glöckner, Helge. “Direct Limits of Regular Lie Groups.” Mathematische Nachrichten 294, no. 1 (2021): 74–81. https://doi.org/10.1002/mana.201900073.
LibreCat | DOI
 

2021 | Preprint | LibreCat-ID: 34806
Glöckner, Helge. “Contraction Groups and the Big Cell for Endomorphisms of Lie Groups over  Local Fields.” ArXiv:2101.02981, 2021.
LibreCat | arXiv
 

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
 

2020 | Journal Article | LibreCat-ID: 34787
Glöckner, Helge, and Niku Masbough. “Products of Regular Locally Compact Spaces Are K_R-Spaces.” Topology Proceedings 55 (2020): 35–38.
LibreCat
 

2020 | Preprint | LibreCat-ID: 34808
Glöckner, Helge. “Smoothing Operators for Vector-Valued Functions and Extension Operators.” ArXiv:2006.00254, 2020.
LibreCat | arXiv
 

2020 | Preprint | LibreCat-ID: 34807
Glöckner, Helge. “Lie Groups of Real Analytic Diffeomorphisms Are L^1-Regular.” ArXiv:2007.15611, 2020.
LibreCat | arXiv
 

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