Helge Glöckner

Institut für Mathematik
Analysis
Unendlich-dimensionale Analysis und Geometrie
helge.gloeckner@uni-paderborn.de
ID
178

16 Publications

Mark all

[16]
2023 | Journal Article | LibreCat-ID: 34803
Celledoni, Elena, et al. “Deep Neural Networks on Diffeomorphism Groups for Optimal Shape Reparametrization.” BIT Numerical Mathematics, vol. 63, 50, Springer, 2023, doi:10.1007/s10543-023-00989-05.
LibreCat | DOI | arXiv
 
[15]
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, vol. 343, 2023, pp. 186–232, doi:10.1016/j.jde.2022.10.001.
LibreCat | DOI | arXiv
 
[14]
2023 | Journal Article | LibreCat-ID: 34805
Glöckner, Helge. “Diffeomorphism Groups of Convex Polytopes.” Journal of Convex Analysis, vol. 30, no. 1, Heldermann, 2023, pp. 343–58.
LibreCat | arXiv
 
[13]
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, vol. 33, no. 1, Heldermann, 2023, pp. 271–96.
LibreCat | arXiv
 
[12]
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, vol. 14, no. 2, 2022, pp. 138–144, doi:10.1134/S2070046622020042.
LibreCat | DOI
 
[11]
2022 | Journal Article | LibreCat-ID: 34791
Glöckner, Helge, and Alexander Schmeding. “Manifolds of Mappings on Cartesian Products.” Annals of Global Analysis and Geometry, vol. 61, no. 2, 2022, pp. 359–398, doi:10.1007/s10455-021-09816-y.
LibreCat | DOI
 
[10]
2022 | Journal Article | LibreCat-ID: 34796
Glöckner, Helge. “Aspects of Differential Calculus Related to Infinite-Dimensional Vector Bundles and Poisson Vector Spaces.” Axioms, vol. 11, no. 5, 2022, doi:10.3390/axioms11050221.
LibreCat | DOI
 
[9]
2022 | Preprint | LibreCat-ID: 34804
Glöckner, Helge. “Birkhoff Decompositions for Loop Groups with Coefficient Algebras.” ArXiv:2206.11711, 2022.
LibreCat | arXiv
 
[8]
2021 | Journal Article | LibreCat-ID: 34786
Glöckner, Helge, and George A. Willis. “Decompositions of Locally Compact Contraction Groups, Series and Extensions.” Journal of Algebra, vol. 570, 2021, pp. 164–214, doi:https://doi.org/10.1016/j.jalgebra.2020.11.007.
LibreCat | DOI
 
[7]
2021 | Journal Article | LibreCat-ID: 34790
Glöckner, Helge, and George A. Willis. “Locally Pro-p Contraction Groups Are Nilpotent.” J. Reine Angew. Math., vol. 781, 2021, pp. 85–103, doi:10.1515/crelle-2021-0050.
LibreCat | DOI
 
[6]
2021 | Journal Article | LibreCat-ID: 34795
Glöckner, Helge. “Direct Limits of Regular Lie Groups.” Mathematische Nachrichten, vol. 294, no. 1, 2021, pp. 74–81, doi:10.1002/mana.201900073.
LibreCat | DOI
 
[5]
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
 
[4]
2020 | Journal Article | LibreCat-ID: 34789
Amiri, Habib, et al. “Lie Groupoids of Mappings Taking Values in a Lie Groupoid.” Archivum Mathematicum, vol. 56, no. 5, 2020, pp. 307–356, doi:10.5817/AM2020-5-307.
LibreCat | DOI
 
[3]
2020 | Journal Article | LibreCat-ID: 34787
Glöckner, Helge, and Niku Masbough. “Products of Regular Locally Compact Spaces Are K_R-Spaces.” Topology Proceedings, vol. 55, 2020, pp. 35–38.
LibreCat
 
[2]
2020 | Preprint | LibreCat-ID: 34808
Glöckner, Helge. “Smoothing Operators for Vector-Valued Functions and Extension Operators.” ArXiv:2006.00254, 2020.
LibreCat | arXiv
 
[1]
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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16 Publications

Mark all

[16]
2023 | Journal Article | LibreCat-ID: 34803
Celledoni, Elena, et al. “Deep Neural Networks on Diffeomorphism Groups for Optimal Shape Reparametrization.” BIT Numerical Mathematics, vol. 63, 50, Springer, 2023, doi:10.1007/s10543-023-00989-05.
LibreCat | DOI | arXiv
 
[15]
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, vol. 343, 2023, pp. 186–232, doi:10.1016/j.jde.2022.10.001.
LibreCat | DOI | arXiv
 
[14]
2023 | Journal Article | LibreCat-ID: 34805
Glöckner, Helge. “Diffeomorphism Groups of Convex Polytopes.” Journal of Convex Analysis, vol. 30, no. 1, Heldermann, 2023, pp. 343–58.
LibreCat | arXiv
 
[13]
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, vol. 33, no. 1, Heldermann, 2023, pp. 271–96.
LibreCat | arXiv
 
[12]
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, vol. 14, no. 2, 2022, pp. 138–144, doi:10.1134/S2070046622020042.
LibreCat | DOI
 
[11]
2022 | Journal Article | LibreCat-ID: 34791
Glöckner, Helge, and Alexander Schmeding. “Manifolds of Mappings on Cartesian Products.” Annals of Global Analysis and Geometry, vol. 61, no. 2, 2022, pp. 359–398, doi:10.1007/s10455-021-09816-y.
LibreCat | DOI
 
[10]
2022 | Journal Article | LibreCat-ID: 34796
Glöckner, Helge. “Aspects of Differential Calculus Related to Infinite-Dimensional Vector Bundles and Poisson Vector Spaces.” Axioms, vol. 11, no. 5, 2022, doi:10.3390/axioms11050221.
LibreCat | DOI
 
[9]
2022 | Preprint | LibreCat-ID: 34804
Glöckner, Helge. “Birkhoff Decompositions for Loop Groups with Coefficient Algebras.” ArXiv:2206.11711, 2022.
LibreCat | arXiv
 
[8]
2021 | Journal Article | LibreCat-ID: 34786
Glöckner, Helge, and George A. Willis. “Decompositions of Locally Compact Contraction Groups, Series and Extensions.” Journal of Algebra, vol. 570, 2021, pp. 164–214, doi:https://doi.org/10.1016/j.jalgebra.2020.11.007.
LibreCat | DOI
 
[7]
2021 | Journal Article | LibreCat-ID: 34790
Glöckner, Helge, and George A. Willis. “Locally Pro-p Contraction Groups Are Nilpotent.” J. Reine Angew. Math., vol. 781, 2021, pp. 85–103, doi:10.1515/crelle-2021-0050.
LibreCat | DOI
 
[6]
2021 | Journal Article | LibreCat-ID: 34795
Glöckner, Helge. “Direct Limits of Regular Lie Groups.” Mathematische Nachrichten, vol. 294, no. 1, 2021, pp. 74–81, doi:10.1002/mana.201900073.
LibreCat | DOI
 
[5]
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
 
[4]
2020 | Journal Article | LibreCat-ID: 34789
Amiri, Habib, et al. “Lie Groupoids of Mappings Taking Values in a Lie Groupoid.” Archivum Mathematicum, vol. 56, no. 5, 2020, pp. 307–356, doi:10.5817/AM2020-5-307.
LibreCat | DOI
 
[3]
2020 | Journal Article | LibreCat-ID: 34787
Glöckner, Helge, and Niku Masbough. “Products of Regular Locally Compact Spaces Are K_R-Spaces.” Topology Proceedings, vol. 55, 2020, pp. 35–38.
LibreCat
 
[2]
2020 | Preprint | LibreCat-ID: 34808
Glöckner, Helge. “Smoothing Operators for Vector-Valued Functions and Extension Operators.” ArXiv:2006.00254, 2020.
LibreCat | arXiv
 
[1]
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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