Helge Glöckner

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

101 Publications

Mark all

[101]
2026 | Preprint | LibreCat-ID: 64629
Glöckner, Helge, and Karl-Hermann Neeb. “Infinite-Dimensional Lie Groups,” 2026.
LibreCat | arXiv
 
[100]
2026 | Preprint | LibreCat-ID: 65036
Cohen, Tal, Helge Glöckner, Gil Goffer, and Waltraud Lederle. “Compact Invariant Random Subgroups,” 2026.
LibreCat | arXiv
 
[99]
2025 | Journal Article | LibreCat-ID: 63649
Glöckner, Helge, Alexander Schmeding, and Ali Suri. “Manifolds of Continuous BV-Functions and Vector Measure Regularity of Banach–Lie Groups.” Geometric Mechanics 01, no. 04 (2025): 383–437. https://doi.org/10.1142/s2972458925500029.
LibreCat | DOI
 
[98]
2025 | Special Issue | LibreCat-ID: 64736
Frahm, Jan, Helge Glöckner, Joachim Hilgert, and Gestur Olafsson, eds. Special Issue of Journal of Lie Theory Dedicated to Karl-Hermann Neeb on the Occasion of His 60th Birthday. J. Lie Theory. Vol. 35, 2025.
LibreCat
 
[97]
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
 
[96]
2024 | Preprint | LibreCat-ID: 56116
Glöckner, Helge, Erlend Grong, and Alexander Schmeding. “Boundary Values of Diffeomorphisms of Simple Polytopes, and Controllability,” 2024.
LibreCat | arXiv
 
[95]
2024 | Preprint | LibreCat-ID: 56583
Glöckner, Helge, and Ali Suri. “L^1-Regularity of Strong ILB-Lie Groups,” 2024.
LibreCat | arXiv
 
[94]
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
 
[93]
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
 
[92]
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
 
[91]
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
 
[90]
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
 
[89]
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
 
[88]
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
 
[87]
2022 | Preprint | LibreCat-ID: 34804
Glöckner, Helge. “Birkhoff Decompositions for Loop Groups with Coefficient Algebras.” ArXiv:2206.11711, 2022.
LibreCat | arXiv
 
[86]
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
 
[85]
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
 
[84]
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
 
[83]
2021 | Journal Article | LibreCat-ID: 34790
Glöckner, Helge, and George A. Willis. “Locally Pro-p Contraction Groups Are Nilpotent.” Journal Für Die Reine Und Angewandte Mathematik 781 (2021): 85–103. https://doi.org/10.1515/crelle-2021-0050.
LibreCat | DOI
 
[82]
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
 
[81]
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
 
[80]
2020 | Preprint | LibreCat-ID: 34808
Glöckner, Helge. “Smoothing Operators for Vector-Valued Functions and Extension Operators.” ArXiv:2006.00254, 2020.
LibreCat | arXiv
 
[79]
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.
LibreCat | DOI
 
[78]
2018 | Book Chapter | LibreCat-ID: 64633
Glöckner, Helge. “Lectures on Lie Groups over Local Fields.” In New Directions in Locally Compact Groups, 37–72. Cambridge: Cambridge University Press, 2018. https://doi.org/10.1017/9781108332675.005.
LibreCat | DOI
 
[77]
2018 | Book Chapter | LibreCat-ID: 64632
Glöckner, Helge. “Endomorphisms of Lie Groups over Local Fields.” In 2016 MATRIX Annals, 101–165. Cham: Springer, 2018. https://doi.org/10.1007/978-3-319-72299-3_6.
LibreCat | DOI
 
[76]
2018 | Journal Article | LibreCat-ID: 64631
Bywaters, Timothy P., Helge Glöckner, and Stephan Tornier. “Contraction Groups and Passage to Subgroups and Quotients for Endomorphisms of Totally Disconnected Locally Compact Groups.” Israel Journal of Mathematics 227, no. 2 (2018): 691–752. https://doi.org/10.1007/s11856-018-1750-9.
LibreCat | DOI
 
[75]
2017 | Journal Article | LibreCat-ID: 64635
Glöckner, Helge, and Karl-Hermann Neeb. “Diffeomorphism Groups of Compact Convex Sets.” Indagationes Mathematicae 28, no. 4 (2017): 760–783. https://doi.org/10.1016/j.indag.2017.04.004.
LibreCat | DOI
 
[74]
2017 | Journal Article | LibreCat-ID: 64638
Glöckner, Helge, and C. R. E. Raja. “Expansive Automorphisms of Totally Disconnected, Locally Compact Groups.” Journal of Group Theory 20, no. 3 (2017): 589–619. https://doi.org/10.1515/jgth-2016-0051.
LibreCat | DOI
 
[73]
2017 | Journal Article | LibreCat-ID: 64636
Glöckner, Helge. “Elementary P-Adic Lie Groups Have Finite Construction Rank.” Proceedings of the American Mathematical Society 145, no. 11 (2017): 5007–5021. https://doi.org/10.1090/proc/13637.
LibreCat | DOI
 
[72]
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.
LibreCat | DOI
 
[71]
2016 | Book Chapter | LibreCat-ID: 64640
Glöckner, Helge. “Invariant Manifolds for Finite-Dimensional Non-Archimedean Dynamical Systems.” In Advances in Non-Archimedean Analysis. 13th International Conference on p-Adic Functional Analysis, University of Paderborn, Paderborn, Germany, August 12–16, 2014, 73–90. Providence, RI: American Mathematical Society (AMS), 2016. https://doi.org/10.1090/conm/665/13367.
LibreCat | DOI
 
[70]
2016 | Book (Editor) | LibreCat-ID: 64643
Glöckner, Helge, Alain Escassut, and Khodr Shamseddine, eds. Advances in Non-Archimedean Analysis. 13th International Conference on p-Adic Functional Analysis, University of Paderborn, Paderborn, Germany, August 12--16, 2014, 2016. https://doi.org/10.1090/conm/665.
LibreCat | DOI
 
[69]
2016 | Journal Article | LibreCat-ID: 64641
Glöckner, Helge. “The Kernel of the Adjoint Representation of a P-Adic Lie Group Need Not Have an Abelian Open Normal Subgroup.” Communications in Algebra 44, no. 7 (2016): 2981–2988. https://doi.org/10.1080/00927872.2015.1065859.
LibreCat | DOI
 
[68]
2015 | Preprint | LibreCat-ID: 64738
Glöckner, Helge. “Fundamentals of Submersions and Immersions between Infinite-Dimensional Manifolds,” 2015.
LibreCat | arXiv
 
[67]
2015 | Preprint | LibreCat-ID: 64737
Glöckner, Helge. “Measurable Regularity Properties of Infinite-Dimensional Lie Groups,” 2015.
LibreCat | arXiv
 
[66]
2015 | Journal Article | LibreCat-ID: 64665
Dahmen, Rafael, and Helge Glöckner. “Bounded Solutions of Finite Lifetime to Differential Equations in Banach Spaces.” Acta Scientiarum Mathematicarum 81, no. 3–4 (2015): 457–468. https://doi.org/10.14232/actasm-014-271-7.
LibreCat | DOI
 
[65]
2014 | Preprint | LibreCat-ID: 64739
Dahmen, Rafael, Helge Glöckner, and Alexander Schmeding. “Complexifications of Infinite-Dimensional Manifolds and New Constructions of Infinite-Dimensional Lie Groups,” 2014.
LibreCat | arXiv
 
[64]
2014 | Journal Article | LibreCat-ID: 64667
Birth, Lidia, and Helge Glöckner. “Continuity of Convolution of Test Functions on Lie Groups.” Canadian Journal of Mathematics 66, no. 1 (2014): 102–140. https://doi.org/10.4153/CJM-2012-035-6.
LibreCat | DOI
 
[63]
2014 | Journal Article | LibreCat-ID: 64666
Glöckner, Helge, and Lutz G. Lucht. “Weighted Inversion of General Dirichlet Series.” Transactions of the American Mathematical Society 366, no. 6 (2014): 3275–3293. https://doi.org/10.1090/S0002-9947-2013-06018-7.
LibreCat | DOI
 
[62]
2013 | Book Chapter | LibreCat-ID: 64731
Glöckner, Helge. “Grobman-Hartman Theorems for Diffeomorphisms of Banach Spaces over Valued Fields.” In Advances in Ultrametric Analysis. 12th International Conference p-Adic Functional Analysis, University of Manitoba, Winnipeg, Canada, July 2-6, 2012, 2013.
LibreCat
 
[61]
2013 | Preprint | LibreCat-ID: 64744
Glöckner, Helge. “Differentiable Mappings between Spaces of Sections,” 2013.
LibreCat | arXiv
 
[60]
2013 | Journal Article | LibreCat-ID: 64669
Glöckner, Helge. “Continuity of LF-Algebra Representations Associated to Representations of Lie Groups.” Kyoto Journal of Mathematics 53, no. 3 (2013): 567–595. https://doi.org/10.1215/21562261-2265895.
LibreCat | DOI
 
[59]
2013 | Journal Article | LibreCat-ID: 64670
Glöckner, Helge. “Invariant Manifolds for Analytic Dynamical Systems over Ultrametric Fields.” Expositiones Mathematicae 31, no. 2 (2013): 116–150. https://doi.org/10.1016/j.exmath.2013.01.009.
LibreCat | DOI
 
[58]
2013 | Journal Article | LibreCat-ID: 64668
Glöckner, Helge. “Exponential Laws for Ultrametric Partially Differentiable Functions and Applications.” P-Adic Numbers, Ultrametric Analysis and Applications 5, no. 2 (2013): 122–159. https://doi.org/10.1134/S2070046613020039.
LibreCat | DOI
 
[57]
2012 | Preprint | LibreCat-ID: 64740
Glöckner, Helge. “Regularity Properties of Infinite-Dimensional Lie Groups, and Semiregularity,” 2012.
LibreCat | arXiv
 
[56]
2012 | Journal Article | LibreCat-ID: 64672
Glöckner, Helge. “Upper Bounds for Continuous Seminorms and Special Properties of Bilinear Maps.” Topology and Its Applications 159, no. 13 (2012): 2990–3001. https://doi.org/10.1016/j.topol.2012.05.010.
LibreCat | DOI
 
[55]
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.
LibreCat | DOI
 
[54]
2012 | Journal Article | LibreCat-ID: 64674
Glöckner, Helge. “Continuity of Bilinear Maps on Direct Sums of Topological Vector Spaces.” Journal of Functional Analysis 262, no. 5 (2012): 2013–2030. https://doi.org/10.1016/j.jfa.2011.12.018.
LibreCat | DOI
 
[53]
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.
LibreCat | DOI
 
[52]
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.
LibreCat | DOI
 
[51]
2010 | Journal Article | LibreCat-ID: 64680
Glöckner, Helge, and George A. Willis. “Classification of the Simple Factors Appearing in Composition Series of Totally Disconnected Contraction Groups.” Journal Für Die Reine Und Angewandte Mathematik 643 (2010): 141–169. https://doi.org/10.1515/CRELLE.2010.047.
LibreCat | DOI
 
[50]
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.
LibreCat | DOI
 
[49]
2009 | Book Chapter | LibreCat-ID: 64682
Glöckner, Helge. “Applications of Hypocontinuous Bilinear Maps in Infinite-Dimensional Differential Calculus.” In Generalized Lie Theory in Mathematics, Physics and Beyond, 171–186. Berlin: Springer, 2009. https://doi.org/10.1007/978-3-540-85332-9_16.
LibreCat | DOI
 
[48]
2008 | Preprint | LibreCat-ID: 64639
Glöckner, Helge. “Homotopy Groups of Ascending Unions of Infinite-Dimensional Manifolds,” 2008.
LibreCat | arXiv
 
[47]
2008 | Journal Article | LibreCat-ID: 64685
Glöckner, Helge. “Ultrametric and Non-Locally Convex Analogues of the General Curve Lemma of Convenient Differential Calculus.” Glasgow Mathematical Journal 50, no. 2 (2008): 271–288. https://doi.org/10.1017/S0017089508004199.
LibreCat | DOI
 
[46]
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.
LibreCat | DOI
 
[45]
2008 | Journal Article | LibreCat-ID: 64683
Glöckner, Helge. “Contractible Lie Groups over Local Fields.” Mathematische Zeitschrift 260, no. 4 (2008): 889–904. https://doi.org/10.1007/s00209-008-0305-x.
LibreCat | DOI
 
[44]
2007 | Journal Article | LibreCat-ID: 64691
Glöckner, Helge. “Direct Limit Groups Do Not Have Small Subgroups.” Topology and Its Applications 154, no. 6 (2007): 1126–33. https://doi.org/10.1016/j.topol.2006.11.003.
LibreCat | DOI
 
[43]
2007 | Journal Article | LibreCat-ID: 64692
Glöckner, Helge, Lutz G. Lucht, and Štefan Porubský. “Solutions to Arithmetic Convolution Equations.” Proceedings of the American Mathematical Society 135, no. 6 (2007): 1619–1629. https://doi.org/10.1090/S0002-9939-07-08738-2.
LibreCat | DOI
 
[42]
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.
LibreCat | DOI
 
[41]
2007 | Journal Article | LibreCat-ID: 64687
Glöckner, Helge. “Instructive Examples of Smooth, Complex Differentiable and Complex Analytic Mappings into Locally Convex Spaces.” Journal of Mathematics of Kyoto University 47, no. 3 (2007): 631–642. https://doi.org/10.1215/kjm/1250281028.
LibreCat | DOI
 
[40]
2007 | Journal Article | LibreCat-ID: 64689
Glöckner, Helge. “Comparison of Some Notions of C^k-Maps in Multi-Variable Non-Archimedian Analysis.” Bulletin of the Belgian Mathematical Society - Simon Stevin 14, no. 5 (2007): 877–904.
LibreCat
 
[39]
2007 | Journal Article | LibreCat-ID: 64686
Glöckner, Helge, and George A. Willis. “Directions of Automorphisms of Lie Groups over Local Fields Compared to the Directions of Lie Algebra Automorphisms.” Topology Proceedings 31, no. 2 (2007): 481–501.
LibreCat
 
[38]
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
 
[37]
2006 | Book Chapter | LibreCat-ID: 64693
Glöckner, Helge. “Aspects of P-Adic Nonlinear Functional Analysis.” In P-Adic Mathematical Physics. 2nd International Conference, Belgrade, Serbia and Montenegro, 15–21 September 2005., 237–253. Melville, NY: American Institute of Physics (AIP), 2006. https://doi.org/10.1063/1.2193126.
LibreCat | DOI
 
[36]
2006 | Preprint | LibreCat-ID: 64742
Glöckner, Helge. “Implicit Functions from Topological Vector Spaces to Fréchet Spaces in the Presence of Metric Estimates,” 2006.
LibreCat | arXiv
 
[35]
2006 | Journal Article | LibreCat-ID: 64696
Glöckner, Helge. “Locally Compact Groups Built up from P-Adic Lie Groups, for p in a given Set of Primes.” Journal of Group Theory 9, no. 4 (2006): 427–454. https://doi.org/10.1515/JGT.2006.028.
LibreCat | DOI
 
[34]
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.
LibreCat | DOI
 
[33]
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.
LibreCat | DOI
 
[32]
2006 | Journal Article | LibreCat-ID: 64694
Glöckner, Helge. “Implicit Functions from Topological Vector Spaces to Banach Spaces.” Israel Journal of Mathematics 155 (2006): 205–252. https://doi.org/10.1007/BF02773955.
LibreCat | DOI
 
[31]
2006 | Journal Article | LibreCat-ID: 64695
Glöckner, Helge. “Fundamental Problems in the Theory of Infinite-Dimensional Lie Groups.” The Journal of Geometry and Symmetry in Physics 5 (2006): 24–35.
LibreCat
 
[30]
2005 | Preprint | LibreCat-ID: 64741
Glöckner, Helge. “Finite Order Differentiability Properties, Fixed Points and Implicit Functions over Valued Fields,” 2005.
LibreCat | arXiv
 
[29]
2005 | Journal Article | LibreCat-ID: 64700
Glöckner, Helge. “Hölder Continuous Homomorphisms between Infinite-Dimensional Lie Groups Are Smooth.” Journal of Functional Analysis 228, no. 2 (2005): 419–444. https://doi.org/10.1016/j.jfa.2005.06.023.
LibreCat | DOI
 
[28]
2005 | Journal Article | LibreCat-ID: 64702
Glöckner, Helge. “Conveniently Hölder Homomorphisms Are Smooth in the Convenient Sense.” Annals of Global Analysis and Geometry 27, no. 3 (2005): 227–255. https://doi.org/10.1007/s10455-005-0040-z.
LibreCat | DOI
 
[27]
2005 | Journal Article | LibreCat-ID: 64704
Glöckner, Helge. “Smooth Lie Groups over Local Fields of Positive Characteristic Need Not Be Analytic.” Journal of Algebra 285, no. 1 (2005): 356–371. https://doi.org/10.1016/j.jalgebra.2004.11.018.
LibreCat | DOI
 
[26]
2005 | Journal Article | LibreCat-ID: 64701
Glöckner, Helge. “Contraction Groups for Tidy Automorphisms of Totally Disconnected Groups.” Glasgow Mathematical Journal 47, no. 2 (2005): 329–333. https://doi.org/10.1017/S0017089505002557.
LibreCat | DOI
 
[25]
2005 | Journal Article | LibreCat-ID: 64703
Glöckner, Helge. “Diff(R^n) as a Milnor-Lie Group.” Mathematische Nachrichten 278, no. 9 (2005): 1025–1032. https://doi.org/10.1002/mana.200310288.
LibreCat | DOI
 
[24]
2005 | Journal Article | LibreCat-ID: 64699
Glöckner, Helge. “Fundamentals of Direct Limit Lie Theory.” Compositio Mathematica 141, no. 6 (2005): 1551–1577. https://doi.org/10.1112/S0010437X05001491.
LibreCat | DOI
 
[23]
2004 | Book Chapter | LibreCat-ID: 64708
Glöckner, Helge. “Lie Groups of Germs of Analytic Mappings.” In Infinite Dimensional Groups and Manifolds. Based on the 70th Meeting of Theoretical Physicists and Mathematicians at IRMA, Strasbourg, France, May 2004., 1–16. Berlin: de Gruyter, 2004.
LibreCat
 
[22]
2004 | Preprint | LibreCat-ID: 64743
Glöckner, Helge. “Lie Groups over Non-Discrete Topological Fields,” 2004.
LibreCat | arXiv
 
[21]
2004 | Journal Article | LibreCat-ID: 64707
Bertram, W., Helge Glöckner, and K.-H. Neeb. “Differential Calculus over General Base Fields and Rings.” Expositiones Mathematicae 22, no. 3 (2004): 213–282. https://doi.org/10.1016/S0723-0869(04)80006-9.
LibreCat | DOI
 
[20]
2004 | Journal Article | LibreCat-ID: 64705
Glöckner, Helge. “Tensor Products in the Category of Topological Vector Spaces Are Not Associative.” Commentationes Mathematicae Universitatis Carolinae 45, no. 4 (2004): 607–614.
LibreCat
 
[19]
2004 | Journal Article | LibreCat-ID: 64706
Glöckner, Helge. “Examples of Differentiable Mappings into Non-Locally Convex Spaces.” Topology Proceedings 28, no. 2 (2004): 479–486.
LibreCat
 
[18]
2003 | Book | LibreCat-ID: 64710
Glöckner, Helge. Positive Definite Functions on Infinite-Dimensional Convex Cones. Vol. 789. Memoirs of the American Mathematical Society. Providence, RI: American Mathematical Society (AMS), 2003. https://doi.org/10.1090/memo/0789.
LibreCat | DOI
 
[17]
2003 | Journal Article | LibreCat-ID: 64712
Glöckner, Helge, and Karl-Hermann Neeb. “Banach-Lie Quotients, Enlargibility, and Universal Complexifications.” Journal Für Die Reine Und Angewandte Mathematik 560 (2003): 1–28. https://doi.org/10.1515/crll.2003.056.
LibreCat | DOI
 
[16]
2003 | Journal Article | LibreCat-ID: 64711
Glöckner, Helge. “Lie Groups of Measurable Mappings.” Canadian Journal of Mathematics 55, no. 5 (2003): 969–999. https://doi.org/10.4153/CJM-2003-039-9.
LibreCat | DOI
 
[15]
2003 | Journal Article | LibreCat-ID: 64709
Glöckner, Helge. “Direct Limit Lie Groups and Manifolds.” Journal of Mathematics of Kyoto University 43, no. 1 (2003): 1–26. https://doi.org/10.1215/kjm/1250283739.
LibreCat | DOI
 
[14]
2002 | Book Chapter | LibreCat-ID: 64716
Glöckner, Helge. “Infinite-Dimensional Lie Groups without Completeness Restrictions.” In Geometry and Analysis on Finite- and Infinite-Dimensional Lie Groups. Proceedings of the Workshop on Lie Groups and Lie Algebras, Bȩdlewo, Poland, September 4–15, 2000, 43–59. Warszawa: Polish Academy of Sciences, Institute of Mathematics, 2002.
LibreCat
 
[13]
2002 | Book Chapter | LibreCat-ID: 64715
Glöckner, Helge, and Jörg Winkelmann. “A Property of Locally Compact Groups.” In Recent Advances in Lie Theory. Selected Contributions to the 1st Colloquium on Lie Theory and Applications, Vigo, Spain, July 2000, 205–210. Lemgo: Heldermann Verlag, 2002.
LibreCat
 
[12]
2002 | Journal Article | LibreCat-ID: 64717
Glöckner, Helge. “Real and P-Adic Lie Algebra Functors on the Category of Topological Groups.” Pacific Journal of Mathematics 203, no. 2 (2002): 321–368. https://doi.org/10.2140/pjm.2002.203.321.
LibreCat | DOI
 
[11]
2002 | Journal Article | LibreCat-ID: 64714
Glöckner, Helge. “Lie Group Structures on Quotient Groups and Universal Complexifications for Infinite-Dimensional Lie Groups.” Journal of Functional Analysis 194, no. 2 (2002): 347–409. https://doi.org/10.1006/jfan.2002.3942.
LibreCat | DOI
 
[10]
2002 | Journal Article | LibreCat-ID: 64721
Glöckner, Helge. “Algebras Whose Groups of Units Are Lie Groups.” Studia Mathematica 153, no. 2 (2002): 147–177. https://doi.org/10.4064/sm153-2-4.
LibreCat | DOI
 
[9]
2002 | Journal Article | LibreCat-ID: 64718
Glöckner, Helge. “Approximation by P-Adic Lie Groups.” Glasgow Mathematical Journal 44, no. 2 (2002): 231–239. https://doi.org/10.1017/S0017089502020049.
LibreCat | DOI
 
[8]
2002 | Journal Article | LibreCat-ID: 64713
Glöckner, Helge, and George A. Willis. “Topologization of Hecke Pairs and Hecke C^*-Algebras.” Topology Proceedings 26, no. 2 (2002): 565–591.
LibreCat
 
[7]
2001 | Book Chapter | LibreCat-ID: 64723
Glöckner, Helge, and Karl-Hermann Neeb. “Minimally Almost Periodic Abelian Groups and Commutative W^*-Algebras.” In Nuclear Groups and Lie Groups. Selected Lectures of the Workshop, Madrid, Spain, September 1999, 163–185. Lemgo: Heldermann Verlag, 2001.
LibreCat
 
[6]
2001 | Journal Article | LibreCat-ID: 64725
Glöckner, Helge, and George A. Willis. “Uniscalar P-Adic Lie Groups.” Forum Mathematicum 13, no. 3 (2001): 413–421. https://doi.org/10.1515/form.2001.015.
LibreCat | DOI
 
[5]
2001 | Journal Article | LibreCat-ID: 64724
Glöckner, Helge. “Functions Operating on Positive Semidefinite Quaternionic Matrices.” Monatshefte Für Mathematik 132, no. 4 (2001): 303–324. https://doi.org/10.1007/s006050170036.
LibreCat | DOI
 
[4]
2000 | Journal Article | LibreCat-ID: 64726
Glöckner, Helge. “Representations of Cones and Conelike Semigroups.” Semigroup Forum 60, no. 2 (2000): 326–333. https://doi.org/10.1007/s002339910025.
LibreCat | DOI
 
[3]
1998 | Journal Article | LibreCat-ID: 64729
Glöckner, Helge. “Scale Functions on Linear Groups over Local Skew Fields.” Journal of Algebra 205, no. 2 (1998): 525–541. https://doi.org/10.1006/jabr.1997.7409.
LibreCat | DOI
 
[2]
1998 | Journal Article | LibreCat-ID: 64728
Glöckner, Helge. “Scale Functions on P-Adic Lie Groups.” Manuscripta Mathematica 97, no. 2 (1998): 205–215. https://doi.org/10.1007/s002290050097.
LibreCat | DOI
 
[1]
1996 | Journal Article | LibreCat-ID: 64730
Glöckner, Helge. “Haar Measure on Linear Groups over Local Skew Fields.” Journal of Lie Theory 6, no. 2 (1996): 165–177.
LibreCat
 
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101 Publications

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[101]
2026 | Preprint | LibreCat-ID: 64629
Glöckner, Helge, and Karl-Hermann Neeb. “Infinite-Dimensional Lie Groups,” 2026.
LibreCat | arXiv
 
[100]
2026 | Preprint | LibreCat-ID: 65036
Cohen, Tal, Helge Glöckner, Gil Goffer, and Waltraud Lederle. “Compact Invariant Random Subgroups,” 2026.
LibreCat | arXiv
 
[99]
2025 | Journal Article | LibreCat-ID: 63649
Glöckner, Helge, Alexander Schmeding, and Ali Suri. “Manifolds of Continuous BV-Functions and Vector Measure Regularity of Banach–Lie Groups.” Geometric Mechanics 01, no. 04 (2025): 383–437. https://doi.org/10.1142/s2972458925500029.
LibreCat | DOI
 
[98]
2025 | Special Issue | LibreCat-ID: 64736
Frahm, Jan, Helge Glöckner, Joachim Hilgert, and Gestur Olafsson, eds. Special Issue of Journal of Lie Theory Dedicated to Karl-Hermann Neeb on the Occasion of His 60th Birthday. J. Lie Theory. Vol. 35, 2025.
LibreCat
 
[97]
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
 
[96]
2024 | Preprint | LibreCat-ID: 56116
Glöckner, Helge, Erlend Grong, and Alexander Schmeding. “Boundary Values of Diffeomorphisms of Simple Polytopes, and Controllability,” 2024.
LibreCat | arXiv
 
[95]
2024 | Preprint | LibreCat-ID: 56583
Glöckner, Helge, and Ali Suri. “L^1-Regularity of Strong ILB-Lie Groups,” 2024.
LibreCat | arXiv
 
[94]
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
 
[93]
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
 
[92]
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
 
[91]
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
 
[90]
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
 
[89]
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
 
[88]
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
 
[87]
2022 | Preprint | LibreCat-ID: 34804
Glöckner, Helge. “Birkhoff Decompositions for Loop Groups with Coefficient Algebras.” ArXiv:2206.11711, 2022.
LibreCat | arXiv
 
[86]
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
 
[85]
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
 
[84]
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
 
[83]
2021 | Journal Article | LibreCat-ID: 34790
Glöckner, Helge, and George A. Willis. “Locally Pro-p Contraction Groups Are Nilpotent.” Journal Für Die Reine Und Angewandte Mathematik 781 (2021): 85–103. https://doi.org/10.1515/crelle-2021-0050.
LibreCat | DOI
 
[82]
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
 
[81]
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
 
[80]
2020 | Preprint | LibreCat-ID: 34808
Glöckner, Helge. “Smoothing Operators for Vector-Valued Functions and Extension Operators.” ArXiv:2006.00254, 2020.
LibreCat | arXiv
 
[79]
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.
LibreCat | DOI
 
[78]
2018 | Book Chapter | LibreCat-ID: 64633
Glöckner, Helge. “Lectures on Lie Groups over Local Fields.” In New Directions in Locally Compact Groups, 37–72. Cambridge: Cambridge University Press, 2018. https://doi.org/10.1017/9781108332675.005.
LibreCat | DOI
 
[77]
2018 | Book Chapter | LibreCat-ID: 64632
Glöckner, Helge. “Endomorphisms of Lie Groups over Local Fields.” In 2016 MATRIX Annals, 101–165. Cham: Springer, 2018. https://doi.org/10.1007/978-3-319-72299-3_6.
LibreCat | DOI
 
[76]
2018 | Journal Article | LibreCat-ID: 64631
Bywaters, Timothy P., Helge Glöckner, and Stephan Tornier. “Contraction Groups and Passage to Subgroups and Quotients for Endomorphisms of Totally Disconnected Locally Compact Groups.” Israel Journal of Mathematics 227, no. 2 (2018): 691–752. https://doi.org/10.1007/s11856-018-1750-9.
LibreCat | DOI
 
[75]
2017 | Journal Article | LibreCat-ID: 64635
Glöckner, Helge, and Karl-Hermann Neeb. “Diffeomorphism Groups of Compact Convex Sets.” Indagationes Mathematicae 28, no. 4 (2017): 760–783. https://doi.org/10.1016/j.indag.2017.04.004.
LibreCat | DOI
 
[74]
2017 | Journal Article | LibreCat-ID: 64638
Glöckner, Helge, and C. R. E. Raja. “Expansive Automorphisms of Totally Disconnected, Locally Compact Groups.” Journal of Group Theory 20, no. 3 (2017): 589–619. https://doi.org/10.1515/jgth-2016-0051.
LibreCat | DOI
 
[73]
2017 | Journal Article | LibreCat-ID: 64636
Glöckner, Helge. “Elementary P-Adic Lie Groups Have Finite Construction Rank.” Proceedings of the American Mathematical Society 145, no. 11 (2017): 5007–5021. https://doi.org/10.1090/proc/13637.
LibreCat | DOI
 
[72]
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.
LibreCat | DOI
 
[71]
2016 | Book Chapter | LibreCat-ID: 64640
Glöckner, Helge. “Invariant Manifolds for Finite-Dimensional Non-Archimedean Dynamical Systems.” In Advances in Non-Archimedean Analysis. 13th International Conference on p-Adic Functional Analysis, University of Paderborn, Paderborn, Germany, August 12–16, 2014, 73–90. Providence, RI: American Mathematical Society (AMS), 2016. https://doi.org/10.1090/conm/665/13367.
LibreCat | DOI
 
[70]
2016 | Book (Editor) | LibreCat-ID: 64643
Glöckner, Helge, Alain Escassut, and Khodr Shamseddine, eds. Advances in Non-Archimedean Analysis. 13th International Conference on p-Adic Functional Analysis, University of Paderborn, Paderborn, Germany, August 12--16, 2014, 2016. https://doi.org/10.1090/conm/665.
LibreCat | DOI
 
[69]
2016 | Journal Article | LibreCat-ID: 64641
Glöckner, Helge. “The Kernel of the Adjoint Representation of a P-Adic Lie Group Need Not Have an Abelian Open Normal Subgroup.” Communications in Algebra 44, no. 7 (2016): 2981–2988. https://doi.org/10.1080/00927872.2015.1065859.
LibreCat | DOI
 
[68]
2015 | Preprint | LibreCat-ID: 64738
Glöckner, Helge. “Fundamentals of Submersions and Immersions between Infinite-Dimensional Manifolds,” 2015.
LibreCat | arXiv
 
[67]
2015 | Preprint | LibreCat-ID: 64737
Glöckner, Helge. “Measurable Regularity Properties of Infinite-Dimensional Lie Groups,” 2015.
LibreCat | arXiv
 
[66]
2015 | Journal Article | LibreCat-ID: 64665
Dahmen, Rafael, and Helge Glöckner. “Bounded Solutions of Finite Lifetime to Differential Equations in Banach Spaces.” Acta Scientiarum Mathematicarum 81, no. 3–4 (2015): 457–468. https://doi.org/10.14232/actasm-014-271-7.
LibreCat | DOI
 
[65]
2014 | Preprint | LibreCat-ID: 64739
Dahmen, Rafael, Helge Glöckner, and Alexander Schmeding. “Complexifications of Infinite-Dimensional Manifolds and New Constructions of Infinite-Dimensional Lie Groups,” 2014.
LibreCat | arXiv
 
[64]
2014 | Journal Article | LibreCat-ID: 64667
Birth, Lidia, and Helge Glöckner. “Continuity of Convolution of Test Functions on Lie Groups.” Canadian Journal of Mathematics 66, no. 1 (2014): 102–140. https://doi.org/10.4153/CJM-2012-035-6.
LibreCat | DOI
 
[63]
2014 | Journal Article | LibreCat-ID: 64666
Glöckner, Helge, and Lutz G. Lucht. “Weighted Inversion of General Dirichlet Series.” Transactions of the American Mathematical Society 366, no. 6 (2014): 3275–3293. https://doi.org/10.1090/S0002-9947-2013-06018-7.
LibreCat | DOI
 
[62]
2013 | Book Chapter | LibreCat-ID: 64731
Glöckner, Helge. “Grobman-Hartman Theorems for Diffeomorphisms of Banach Spaces over Valued Fields.” In Advances in Ultrametric Analysis. 12th International Conference p-Adic Functional Analysis, University of Manitoba, Winnipeg, Canada, July 2-6, 2012, 2013.
LibreCat
 
[61]
2013 | Preprint | LibreCat-ID: 64744
Glöckner, Helge. “Differentiable Mappings between Spaces of Sections,” 2013.
LibreCat | arXiv
 
[60]
2013 | Journal Article | LibreCat-ID: 64669
Glöckner, Helge. “Continuity of LF-Algebra Representations Associated to Representations of Lie Groups.” Kyoto Journal of Mathematics 53, no. 3 (2013): 567–595. https://doi.org/10.1215/21562261-2265895.
LibreCat | DOI
 
[59]
2013 | Journal Article | LibreCat-ID: 64670
Glöckner, Helge. “Invariant Manifolds for Analytic Dynamical Systems over Ultrametric Fields.” Expositiones Mathematicae 31, no. 2 (2013): 116–150. https://doi.org/10.1016/j.exmath.2013.01.009.
LibreCat | DOI
 
[58]
2013 | Journal Article | LibreCat-ID: 64668
Glöckner, Helge. “Exponential Laws for Ultrametric Partially Differentiable Functions and Applications.” P-Adic Numbers, Ultrametric Analysis and Applications 5, no. 2 (2013): 122–159. https://doi.org/10.1134/S2070046613020039.
LibreCat | DOI
 
[57]
2012 | Preprint | LibreCat-ID: 64740
Glöckner, Helge. “Regularity Properties of Infinite-Dimensional Lie Groups, and Semiregularity,” 2012.
LibreCat | arXiv
 
[56]
2012 | Journal Article | LibreCat-ID: 64672
Glöckner, Helge. “Upper Bounds for Continuous Seminorms and Special Properties of Bilinear Maps.” Topology and Its Applications 159, no. 13 (2012): 2990–3001. https://doi.org/10.1016/j.topol.2012.05.010.
LibreCat | DOI
 
[55]
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.
LibreCat | DOI
 
[54]
2012 | Journal Article | LibreCat-ID: 64674
Glöckner, Helge. “Continuity of Bilinear Maps on Direct Sums of Topological Vector Spaces.” Journal of Functional Analysis 262, no. 5 (2012): 2013–2030. https://doi.org/10.1016/j.jfa.2011.12.018.
LibreCat | DOI
 
[53]
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.
LibreCat | DOI
 
[52]
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.
LibreCat | DOI
 
[51]
2010 | Journal Article | LibreCat-ID: 64680
Glöckner, Helge, and George A. Willis. “Classification of the Simple Factors Appearing in Composition Series of Totally Disconnected Contraction Groups.” Journal Für Die Reine Und Angewandte Mathematik 643 (2010): 141–169. https://doi.org/10.1515/CRELLE.2010.047.
LibreCat | DOI
 
[50]
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.
LibreCat | DOI
 
[49]
2009 | Book Chapter | LibreCat-ID: 64682
Glöckner, Helge. “Applications of Hypocontinuous Bilinear Maps in Infinite-Dimensional Differential Calculus.” In Generalized Lie Theory in Mathematics, Physics and Beyond, 171–186. Berlin: Springer, 2009. https://doi.org/10.1007/978-3-540-85332-9_16.
LibreCat | DOI
 
[48]
2008 | Preprint | LibreCat-ID: 64639
Glöckner, Helge. “Homotopy Groups of Ascending Unions of Infinite-Dimensional Manifolds,” 2008.
LibreCat | arXiv
 
[47]
2008 | Journal Article | LibreCat-ID: 64685
Glöckner, Helge. “Ultrametric and Non-Locally Convex Analogues of the General Curve Lemma of Convenient Differential Calculus.” Glasgow Mathematical Journal 50, no. 2 (2008): 271–288. https://doi.org/10.1017/S0017089508004199.
LibreCat | DOI
 
[46]
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.
LibreCat | DOI
 
[45]
2008 | Journal Article | LibreCat-ID: 64683
Glöckner, Helge. “Contractible Lie Groups over Local Fields.” Mathematische Zeitschrift 260, no. 4 (2008): 889–904. https://doi.org/10.1007/s00209-008-0305-x.
LibreCat | DOI
 
[44]
2007 | Journal Article | LibreCat-ID: 64691
Glöckner, Helge. “Direct Limit Groups Do Not Have Small Subgroups.” Topology and Its Applications 154, no. 6 (2007): 1126–33. https://doi.org/10.1016/j.topol.2006.11.003.
LibreCat | DOI
 
[43]
2007 | Journal Article | LibreCat-ID: 64692
Glöckner, Helge, Lutz G. Lucht, and Štefan Porubský. “Solutions to Arithmetic Convolution Equations.” Proceedings of the American Mathematical Society 135, no. 6 (2007): 1619–1629. https://doi.org/10.1090/S0002-9939-07-08738-2.
LibreCat | DOI
 
[42]
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.
LibreCat | DOI
 
[41]
2007 | Journal Article | LibreCat-ID: 64687
Glöckner, Helge. “Instructive Examples of Smooth, Complex Differentiable and Complex Analytic Mappings into Locally Convex Spaces.” Journal of Mathematics of Kyoto University 47, no. 3 (2007): 631–642. https://doi.org/10.1215/kjm/1250281028.
LibreCat | DOI
 
[40]
2007 | Journal Article | LibreCat-ID: 64689
Glöckner, Helge. “Comparison of Some Notions of C^k-Maps in Multi-Variable Non-Archimedian Analysis.” Bulletin of the Belgian Mathematical Society - Simon Stevin 14, no. 5 (2007): 877–904.
LibreCat
 
[39]
2007 | Journal Article | LibreCat-ID: 64686
Glöckner, Helge, and George A. Willis. “Directions of Automorphisms of Lie Groups over Local Fields Compared to the Directions of Lie Algebra Automorphisms.” Topology Proceedings 31, no. 2 (2007): 481–501.
LibreCat
 
[38]
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
 
[37]
2006 | Book Chapter | LibreCat-ID: 64693
Glöckner, Helge. “Aspects of P-Adic Nonlinear Functional Analysis.” In P-Adic Mathematical Physics. 2nd International Conference, Belgrade, Serbia and Montenegro, 15–21 September 2005., 237–253. Melville, NY: American Institute of Physics (AIP), 2006. https://doi.org/10.1063/1.2193126.
LibreCat | DOI
 
[36]
2006 | Preprint | LibreCat-ID: 64742
Glöckner, Helge. “Implicit Functions from Topological Vector Spaces to Fréchet Spaces in the Presence of Metric Estimates,” 2006.
LibreCat | arXiv
 
[35]
2006 | Journal Article | LibreCat-ID: 64696
Glöckner, Helge. “Locally Compact Groups Built up from P-Adic Lie Groups, for p in a given Set of Primes.” Journal of Group Theory 9, no. 4 (2006): 427–454. https://doi.org/10.1515/JGT.2006.028.
LibreCat | DOI
 
[34]
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.
LibreCat | DOI
 
[33]
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.
LibreCat | DOI
 
[32]
2006 | Journal Article | LibreCat-ID: 64694
Glöckner, Helge. “Implicit Functions from Topological Vector Spaces to Banach Spaces.” Israel Journal of Mathematics 155 (2006): 205–252. https://doi.org/10.1007/BF02773955.
LibreCat | DOI
 
[31]
2006 | Journal Article | LibreCat-ID: 64695
Glöckner, Helge. “Fundamental Problems in the Theory of Infinite-Dimensional Lie Groups.” The Journal of Geometry and Symmetry in Physics 5 (2006): 24–35.
LibreCat
 
[30]
2005 | Preprint | LibreCat-ID: 64741
Glöckner, Helge. “Finite Order Differentiability Properties, Fixed Points and Implicit Functions over Valued Fields,” 2005.
LibreCat | arXiv
 
[29]
2005 | Journal Article | LibreCat-ID: 64700
Glöckner, Helge. “Hölder Continuous Homomorphisms between Infinite-Dimensional Lie Groups Are Smooth.” Journal of Functional Analysis 228, no. 2 (2005): 419–444. https://doi.org/10.1016/j.jfa.2005.06.023.
LibreCat | DOI
 
[28]
2005 | Journal Article | LibreCat-ID: 64702
Glöckner, Helge. “Conveniently Hölder Homomorphisms Are Smooth in the Convenient Sense.” Annals of Global Analysis and Geometry 27, no. 3 (2005): 227–255. https://doi.org/10.1007/s10455-005-0040-z.
LibreCat | DOI
 
[27]
2005 | Journal Article | LibreCat-ID: 64704
Glöckner, Helge. “Smooth Lie Groups over Local Fields of Positive Characteristic Need Not Be Analytic.” Journal of Algebra 285, no. 1 (2005): 356–371. https://doi.org/10.1016/j.jalgebra.2004.11.018.
LibreCat | DOI
 
[26]
2005 | Journal Article | LibreCat-ID: 64701
Glöckner, Helge. “Contraction Groups for Tidy Automorphisms of Totally Disconnected Groups.” Glasgow Mathematical Journal 47, no. 2 (2005): 329–333. https://doi.org/10.1017/S0017089505002557.
LibreCat | DOI
 
[25]
2005 | Journal Article | LibreCat-ID: 64703
Glöckner, Helge. “Diff(R^n) as a Milnor-Lie Group.” Mathematische Nachrichten 278, no. 9 (2005): 1025–1032. https://doi.org/10.1002/mana.200310288.
LibreCat | DOI
 
[24]
2005 | Journal Article | LibreCat-ID: 64699
Glöckner, Helge. “Fundamentals of Direct Limit Lie Theory.” Compositio Mathematica 141, no. 6 (2005): 1551–1577. https://doi.org/10.1112/S0010437X05001491.
LibreCat | DOI
 
[23]
2004 | Book Chapter | LibreCat-ID: 64708
Glöckner, Helge. “Lie Groups of Germs of Analytic Mappings.” In Infinite Dimensional Groups and Manifolds. Based on the 70th Meeting of Theoretical Physicists and Mathematicians at IRMA, Strasbourg, France, May 2004., 1–16. Berlin: de Gruyter, 2004.
LibreCat
 
[22]
2004 | Preprint | LibreCat-ID: 64743
Glöckner, Helge. “Lie Groups over Non-Discrete Topological Fields,” 2004.
LibreCat | arXiv
 
[21]
2004 | Journal Article | LibreCat-ID: 64707
Bertram, W., Helge Glöckner, and K.-H. Neeb. “Differential Calculus over General Base Fields and Rings.” Expositiones Mathematicae 22, no. 3 (2004): 213–282. https://doi.org/10.1016/S0723-0869(04)80006-9.
LibreCat | DOI
 
[20]
2004 | Journal Article | LibreCat-ID: 64705
Glöckner, Helge. “Tensor Products in the Category of Topological Vector Spaces Are Not Associative.” Commentationes Mathematicae Universitatis Carolinae 45, no. 4 (2004): 607–614.
LibreCat
 
[19]
2004 | Journal Article | LibreCat-ID: 64706
Glöckner, Helge. “Examples of Differentiable Mappings into Non-Locally Convex Spaces.” Topology Proceedings 28, no. 2 (2004): 479–486.
LibreCat
 
[18]
2003 | Book | LibreCat-ID: 64710
Glöckner, Helge. Positive Definite Functions on Infinite-Dimensional Convex Cones. Vol. 789. Memoirs of the American Mathematical Society. Providence, RI: American Mathematical Society (AMS), 2003. https://doi.org/10.1090/memo/0789.
LibreCat | DOI
 
[17]
2003 | Journal Article | LibreCat-ID: 64712
Glöckner, Helge, and Karl-Hermann Neeb. “Banach-Lie Quotients, Enlargibility, and Universal Complexifications.” Journal Für Die Reine Und Angewandte Mathematik 560 (2003): 1–28. https://doi.org/10.1515/crll.2003.056.
LibreCat | DOI
 
[16]
2003 | Journal Article | LibreCat-ID: 64711
Glöckner, Helge. “Lie Groups of Measurable Mappings.” Canadian Journal of Mathematics 55, no. 5 (2003): 969–999. https://doi.org/10.4153/CJM-2003-039-9.
LibreCat | DOI
 
[15]
2003 | Journal Article | LibreCat-ID: 64709
Glöckner, Helge. “Direct Limit Lie Groups and Manifolds.” Journal of Mathematics of Kyoto University 43, no. 1 (2003): 1–26. https://doi.org/10.1215/kjm/1250283739.
LibreCat | DOI
 
[14]
2002 | Book Chapter | LibreCat-ID: 64716
Glöckner, Helge. “Infinite-Dimensional Lie Groups without Completeness Restrictions.” In Geometry and Analysis on Finite- and Infinite-Dimensional Lie Groups. Proceedings of the Workshop on Lie Groups and Lie Algebras, Bȩdlewo, Poland, September 4–15, 2000, 43–59. Warszawa: Polish Academy of Sciences, Institute of Mathematics, 2002.
LibreCat
 
[13]
2002 | Book Chapter | LibreCat-ID: 64715
Glöckner, Helge, and Jörg Winkelmann. “A Property of Locally Compact Groups.” In Recent Advances in Lie Theory. Selected Contributions to the 1st Colloquium on Lie Theory and Applications, Vigo, Spain, July 2000, 205–210. Lemgo: Heldermann Verlag, 2002.
LibreCat
 
[12]
2002 | Journal Article | LibreCat-ID: 64717
Glöckner, Helge. “Real and P-Adic Lie Algebra Functors on the Category of Topological Groups.” Pacific Journal of Mathematics 203, no. 2 (2002): 321–368. https://doi.org/10.2140/pjm.2002.203.321.
LibreCat | DOI
 
[11]
2002 | Journal Article | LibreCat-ID: 64714
Glöckner, Helge. “Lie Group Structures on Quotient Groups and Universal Complexifications for Infinite-Dimensional Lie Groups.” Journal of Functional Analysis 194, no. 2 (2002): 347–409. https://doi.org/10.1006/jfan.2002.3942.
LibreCat | DOI
 
[10]
2002 | Journal Article | LibreCat-ID: 64721
Glöckner, Helge. “Algebras Whose Groups of Units Are Lie Groups.” Studia Mathematica 153, no. 2 (2002): 147–177. https://doi.org/10.4064/sm153-2-4.
LibreCat | DOI
 
[9]
2002 | Journal Article | LibreCat-ID: 64718
Glöckner, Helge. “Approximation by P-Adic Lie Groups.” Glasgow Mathematical Journal 44, no. 2 (2002): 231–239. https://doi.org/10.1017/S0017089502020049.
LibreCat | DOI
 
[8]
2002 | Journal Article | LibreCat-ID: 64713
Glöckner, Helge, and George A. Willis. “Topologization of Hecke Pairs and Hecke C^*-Algebras.” Topology Proceedings 26, no. 2 (2002): 565–591.
LibreCat
 
[7]
2001 | Book Chapter | LibreCat-ID: 64723
Glöckner, Helge, and Karl-Hermann Neeb. “Minimally Almost Periodic Abelian Groups and Commutative W^*-Algebras.” In Nuclear Groups and Lie Groups. Selected Lectures of the Workshop, Madrid, Spain, September 1999, 163–185. Lemgo: Heldermann Verlag, 2001.
LibreCat
 
[6]
2001 | Journal Article | LibreCat-ID: 64725
Glöckner, Helge, and George A. Willis. “Uniscalar P-Adic Lie Groups.” Forum Mathematicum 13, no. 3 (2001): 413–421. https://doi.org/10.1515/form.2001.015.
LibreCat | DOI
 
[5]
2001 | Journal Article | LibreCat-ID: 64724
Glöckner, Helge. “Functions Operating on Positive Semidefinite Quaternionic Matrices.” Monatshefte Für Mathematik 132, no. 4 (2001): 303–324. https://doi.org/10.1007/s006050170036.
LibreCat | DOI
 
[4]
2000 | Journal Article | LibreCat-ID: 64726
Glöckner, Helge. “Representations of Cones and Conelike Semigroups.” Semigroup Forum 60, no. 2 (2000): 326–333. https://doi.org/10.1007/s002339910025.
LibreCat | DOI
 
[3]
1998 | Journal Article | LibreCat-ID: 64729
Glöckner, Helge. “Scale Functions on Linear Groups over Local Skew Fields.” Journal of Algebra 205, no. 2 (1998): 525–541. https://doi.org/10.1006/jabr.1997.7409.
LibreCat | DOI
 
[2]
1998 | Journal Article | LibreCat-ID: 64728
Glöckner, Helge. “Scale Functions on P-Adic Lie Groups.” Manuscripta Mathematica 97, no. 2 (1998): 205–215. https://doi.org/10.1007/s002290050097.
LibreCat | DOI
 
[1]
1996 | Journal Article | LibreCat-ID: 64730
Glöckner, Helge. “Haar Measure on Linear Groups over Local Skew Fields.” Journal of Lie Theory 6, no. 2 (1996): 165–177.
LibreCat
 
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