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33 Publications


2025 | Journal Article | LibreCat-ID: 34807
Glöckner, Helge. “Lie Groups of Real Analytic Diffeomorphisms Are L^1-Regular.” Nonlinear Analysis 252 (2025). https://doi.org/10.1016/j.na.2024.113690.
LibreCat | DOI
 

2024 | Preprint | LibreCat-ID: 56115
Glöckner, Helge, Alexander Schmeding, and Ali Suri. “Manifolds of Continuous BV-Functions and Vector Measure Regularity of Banach-Lie Groups,” 2024.
LibreCat | arXiv
 

2024 | Preprint | LibreCat-ID: 56114
Pinaud, Matthieu. “Manifolds of Absolutely Continuous Functions with Values in an Infinite-Dimensional Manifold and Regularity Properties of Half-Lie Groups,” 2024.
LibreCat | arXiv
 

2024 | Preprint | LibreCat-ID: 56116
Glöckner, Helge, Erlend Grong, and Alexander Schmeding. “Boundary Values of Diffeomorphisms of Simple Polytopes, and Controllability,” 2024.
LibreCat | arXiv
 

2024 | Journal Article | LibreCat-ID: 56584
Suri, Ali. “Curvature and Stability of Quasi-Geostrophic Motion.” Journal of Geometry and Physics 198 (2024): 105109.
LibreCat | Download (ext.)
 

2024 | Journal Article | LibreCat-ID: 56585
Suri, Ali. “Conjugate Points along Spherical Harmonics.” Journal of Geometry and Physics 206 (2024): 105333.
LibreCat | Download (ext.)
 

2024 | Preprint | LibreCat-ID: 56583
Glöckner, Helge, and Ali Suri. “L^1-Regularity of Strong ILB-Lie Groups,” 2024.
LibreCat | arXiv
 

2024 | Preprint | LibreCat-ID: 56586
Suri, Ali. “Stochastic Euler-Poincaré Reduction for Central Extensions,” 2024.
LibreCat | 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: 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: 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
 

2023 | Preprint | LibreCat-ID: 55575
Jakob, Johanna. “Der Whitneysche Fortsetzungssatz Für Vektorwertige Funktionen,” 2023.
LibreCat | arXiv
 

2023 | Journal Article | LibreCat-ID: 34814
Hanusch, Maximilian. “A $C^k$-Seeley-Extension-Theorem for Bastiani’s Differential Calculus.” Canadian Journal of Mathematics 75, no. 1 (2023): 170–201. https://doi.org/10.4153/s0008414x21000596.
LibreCat | DOI
 

2023 | Journal Article | LibreCat-ID: 34832
Hanusch, Maximilian. “The Lax Equation and Weak Regularity of Asymptotic Estimate Lie Groups.” Annals of Global Analysis and Geometry 63, no. 21 (2023). https://doi.org/10.1007/s10455-023-09888-y.
LibreCat | DOI
 

2023 | Journal Article | LibreCat-ID: 34833
Hanusch, Maximilian. “Decompositions of Analytic 1-Manifolds.” Indagationes Mathematicae. 34, no. 4 (2023): 752–811. https://doi.org/10.1016/j.indag.2023.02.003.
LibreCat | DOI
 

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
 

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