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 H, Neeb K-H. Infinite-dimensional Lie groups. Published online 2026.
LibreCat | arXiv
 
[100]
2026 | Preprint | LibreCat-ID: 65036
Cohen T, Glöckner H, Goffer G, Lederle W. Compact invariant random subgroups. Published online 2026.
LibreCat | arXiv
 
[99]
2025 | Journal Article | LibreCat-ID: 63649
Glöckner H, Schmeding A, Suri A. Manifolds of continuous BV-functions and vector measure regularity of Banach–Lie groups. Geometric Mechanics. 2025;01(04):383-437. doi:10.1142/s2972458925500029
LibreCat | DOI
 
[98]
2025 | Special Issue | LibreCat-ID: 64736
Frahm J, Glöckner H, Hilgert J, Olafsson G, eds. Special Issue of Journal of Lie Theory Dedicated to Karl-Hermann Neeb on the Occasion of His 60th Birthday. Vol 35.; 2025.
LibreCat
 
[97]
2025 | Journal Article | LibreCat-ID: 34807
Glöckner H. Lie groups of real analytic diffeomorphisms are L^1-regular. Nonlinear Analysis. 2025;252. doi:10.1016/j.na.2024.113690
LibreCat | DOI
 
[96]
2024 | Preprint | LibreCat-ID: 56116
Glöckner H, Grong E, Schmeding A. Boundary values of diffeomorphisms of simple polytopes, and controllability. Published online 2024.
LibreCat | arXiv
 
[95]
2024 | Preprint | LibreCat-ID: 56583
Glöckner H, Suri A. L^1-regularity of strong ILB-Lie groups. Published online 2024.
LibreCat | arXiv
 
[94]
2023 | Journal Article | LibreCat-ID: 34793
Glöckner H, Hilgert J. Aspects of control theory on infinite-dimensional Lie groups and G-manifolds. Journal of Differential Equations. 2023;343:186–232. doi:10.1016/j.jde.2022.10.001
LibreCat | DOI | arXiv
 
[93]
2023 | Journal Article | LibreCat-ID: 34803
Celledoni E, Glöckner H, Riseth J, Schmeding A. Deep neural networks on diffeomorphism groups for optimal shape reparametrization. BIT Numerical Mathematics. 2023;63. doi:10.1007/s10543-023-00989-05
LibreCat | DOI | arXiv
 
[92]
2023 | Journal Article | LibreCat-ID: 34805
Glöckner H. Diffeomorphism groups of convex polytopes. Journal of Convex Analysis. 2023;30(1):343-358.
LibreCat | arXiv
 
[91]
2023 | Journal Article | LibreCat-ID: 34801
Glöckner H, Tárrega L. Mapping groups associated with real-valued function spaces and direct limits of Sobolev-Lie groups . Journal of Lie Theory. 2023;33(1):271-296.
LibreCat | arXiv
 
[90]
2022 | Journal Article | LibreCat-ID: 34792
Glöckner H. Non-Lie subgroups in Lie groups over local fields of positive characteristic. p-Adic Numbers, Ultrametric Analysis, and Applications. 2022;14(2):138–144. doi:10.1134/S2070046622020042
LibreCat | DOI
 
[89]
2022 | Journal Article | LibreCat-ID: 34791
Glöckner H, Schmeding A. Manifolds of mappings on Cartesian products. Annals of Global Analysis and Geometry. 2022;61(2):359–398. doi:10.1007/s10455-021-09816-y
LibreCat | DOI
 
[88]
2022 | Journal Article | LibreCat-ID: 34796
Glöckner H. Aspects of differential calculus related to infinite-dimensional vector bundles and Poisson vector spaces. Axioms. 2022;11(5). doi:10.3390/axioms11050221
LibreCat | DOI
 
[87]
2022 | Preprint | LibreCat-ID: 34804
Glöckner H. Birkhoff decompositions for loop groups with coefficient algebras. arXiv:220611711. Published online 2022.
LibreCat | arXiv
 
[86]
2021 | Journal Article | LibreCat-ID: 34786
Glöckner H, Willis GA. Decompositions of locally compact contraction groups, series and extensions. Journal of Algebra. 2021;570:164-214. doi:https://doi.org/10.1016/j.jalgebra.2020.11.007
LibreCat | DOI
 
[85]
2021 | Journal Article | LibreCat-ID: 34795
Glöckner H. Direct limits of regular Lie groups. Mathematische Nachrichten. 2021;294(1):74–81. doi:10.1002/mana.201900073
LibreCat | DOI
 
[84]
2021 | Preprint | LibreCat-ID: 34806
Glöckner H. Contraction groups and the big cell for endomorphisms of Lie groups over  local fields. arXiv:210102981. Published online 2021.
LibreCat | arXiv
 
[83]
2021 | Journal Article | LibreCat-ID: 34790
Glöckner H, Willis GA. Locally pro-p contraction groups are nilpotent. Journal für die reine und angewandte Mathematik. 2021;781:85–103. doi:10.1515/crelle-2021-0050
LibreCat | DOI
 
[82]
2020 | Journal Article | LibreCat-ID: 34789
Amiri H, Glöckner H, Schmeding A. Lie groupoids of mappings taking values in a Lie groupoid. Archivum Mathematicum. 2020;56(5):307–356. doi:10.5817/AM2020-5-307
LibreCat | DOI
 
[81]
2020 | Journal Article | LibreCat-ID: 34787
Glöckner H, Masbough N. Products of regular locally compact spaces are k_R-spaces. Topology Proceedings. 2020;55:35–38.
LibreCat
 
[80]
2020 | Preprint | LibreCat-ID: 34808
Glöckner H. Smoothing operators for vector-valued functions and extension operators. arXiv:200600254. Published online 2020.
LibreCat | arXiv
 
[79]
2019 | Journal Article | LibreCat-ID: 64630
Glöckner H. Completeness of infinite-dimensional Lie groups in their left uniformity. Canadian Journal of Mathematics. 2019;71(1):131–152. doi:10.4153/CJM-2017-048-5
LibreCat | DOI
 
[78]
2018 | Book Chapter | LibreCat-ID: 64633
Glöckner H. Lectures on Lie groups over local fields. In: New Directions in Locally Compact Groups. Cambridge: Cambridge University Press; 2018:37–72. doi:10.1017/9781108332675.005
LibreCat | DOI
 
[77]
2018 | Book Chapter | LibreCat-ID: 64632
Glöckner H. Endomorphisms of Lie groups over local fields. In: 2016 MATRIX Annals. Cham: Springer; 2018:101–165. doi:10.1007/978-3-319-72299-3_6
LibreCat | DOI
 
[76]
2018 | Journal Article | LibreCat-ID: 64631
Bywaters TP, Glöckner H, Tornier S. Contraction groups and passage to subgroups and quotients for endomorphisms of totally disconnected locally compact groups. Israel Journal of Mathematics. 2018;227(2):691–752. doi:10.1007/s11856-018-1750-9
LibreCat | DOI
 
[75]
2017 | Journal Article | LibreCat-ID: 64635
Glöckner H, Neeb K-H. Diffeomorphism groups of compact convex sets. Indagationes Mathematicae. 2017;28(4):760–783. doi:10.1016/j.indag.2017.04.004
LibreCat | DOI
 
[74]
2017 | Journal Article | LibreCat-ID: 64638
Glöckner H, Raja CRE. Expansive automorphisms of totally disconnected, locally compact groups. Journal of Group Theory. 2017;20(3):589–619. doi:10.1515/jgth-2016-0051
LibreCat | DOI
 
[73]
2017 | Journal Article | LibreCat-ID: 64636
Glöckner H. Elementary p-adic Lie groups have finite construction rank. Proceedings of the American Mathematical Society. 2017;145(11):5007–5021. doi:10.1090/proc/13637
LibreCat | DOI
 
[72]
2017 | Journal Article | LibreCat-ID: 64634
Glöckner H. Completeness of locally k_ω-groups and related infinite-dimensional Lie groups. Topology and its Applications. 2017;228:277–284. doi:10.1016/j.topol.2017.05.007
LibreCat | DOI
 
[71]
2016 | Book Chapter | LibreCat-ID: 64640
Glöckner H. 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. Providence, RI: American Mathematical Society (AMS); 2016:73–90. doi:10.1090/conm/665/13367
LibreCat | DOI
 
[70]
2016 | Book (Editor) | LibreCat-ID: 64643
Glöckner H, Escassut A, Shamseddine K, eds. Advances in Non-Archimedean Analysis. 13th International Conference on p-Adic Functional Analysis, University of Paderborn, Paderborn, Germany, August 12--16, 2014.; 2016. doi:10.1090/conm/665
LibreCat | DOI
 
[69]
2016 | Journal Article | LibreCat-ID: 64641
Glöckner H. The kernel of the adjoint representation of a p-adic Lie group need not have an abelian open normal subgroup. Communications in Algebra. 2016;44(7):2981–2988. doi:10.1080/00927872.2015.1065859
LibreCat | DOI
 
[68]
2015 | Preprint | LibreCat-ID: 64738
Glöckner H. Fundamentals of submersions and immersions between infinite-dimensional manifolds. Published online 2015.
LibreCat | arXiv
 
[67]
2015 | Preprint | LibreCat-ID: 64737
Glöckner H. Measurable regularity properties of infinite-dimensional Lie groups. Published online 2015.
LibreCat | arXiv
 
[66]
2015 | Journal Article | LibreCat-ID: 64665
Dahmen R, Glöckner H. Bounded solutions of finite lifetime to differential equations in Banach spaces. Acta Scientiarum Mathematicarum. 2015;81(3-4):457–468. doi:10.14232/actasm-014-271-7
LibreCat | DOI
 
[65]
2014 | Preprint | LibreCat-ID: 64739
Dahmen R, Glöckner H, Schmeding A. Complexifications of infinite-dimensional manifolds and new constructions of infinite-dimensional Lie groups. Published online 2014.
LibreCat | arXiv
 
[64]
2014 | Journal Article | LibreCat-ID: 64667
Birth L, Glöckner H. Continuity of convolution of test functions on Lie groups. Canadian Journal of Mathematics. 2014;66(1):102–140. doi:10.4153/CJM-2012-035-6
LibreCat | DOI
 
[63]
2014 | Journal Article | LibreCat-ID: 64666
Glöckner H, Lucht LG. Weighted inversion of general Dirichlet series. Transactions of the American Mathematical Society. 2014;366(6):3275–3293. doi:10.1090/S0002-9947-2013-06018-7
LibreCat | DOI
 
[62]
2013 | Book Chapter | LibreCat-ID: 64731
Glöckner H. 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 H. Differentiable mappings between spaces of sections. Published online 2013.
LibreCat | arXiv
 
[60]
2013 | Journal Article | LibreCat-ID: 64669
Glöckner H. Continuity of LF-algebra representations associated to representations of Lie groups. Kyoto Journal of Mathematics. 2013;53(3):567–595. doi:10.1215/21562261-2265895
LibreCat | DOI
 
[59]
2013 | Journal Article | LibreCat-ID: 64670
Glöckner H. Invariant manifolds for analytic dynamical systems over ultrametric fields. Expositiones Mathematicae. 2013;31(2):116–150. doi:10.1016/j.exmath.2013.01.009
LibreCat | DOI
 
[58]
2013 | Journal Article | LibreCat-ID: 64668
Glöckner H. Exponential laws for ultrametric partially differentiable functions and applications. p-Adic Numbers, Ultrametric Analysis and Applications. 2013;5(2):122–159. doi:10.1134/S2070046613020039
LibreCat | DOI
 
[57]
2012 | Preprint | LibreCat-ID: 64740
Glöckner H. Regularity properties of infinite-dimensional Lie groups, and semiregularity. Published online 2012.
LibreCat | arXiv
 
[56]
2012 | Journal Article | LibreCat-ID: 64672
Glöckner H. Upper bounds for continuous seminorms and special properties of bilinear maps. Topology and its Applications. 2012;159(13):2990–3001. doi:10.1016/j.topol.2012.05.010
LibreCat | DOI
 
[55]
2012 | Journal Article | LibreCat-ID: 64673
Glöckner H, Langkamp B. Topological algebras of rapidly decreasing matrices and generalizations. Topology and its Applications. 2012;159(9):2420–2422. doi:10.1016/j.topol.2011.09.048
LibreCat | DOI
 
[54]
2012 | Journal Article | LibreCat-ID: 64674
Glöckner H. Continuity of bilinear maps on direct sums of topological vector spaces. Journal of Functional Analysis. 2012;262(5):2013–2030. doi:10.1016/j.jfa.2011.12.018
LibreCat | DOI
 
[53]
2012 | Journal Article | LibreCat-ID: 64671
Glöckner H, Neeb K-H. When unit groups of continuous inverse algebras are regular Lie groups. Studia Mathematica. 2012;211(2):95–109. doi:10.4064/sm211-2-1
LibreCat | DOI
 
[52]
2011 | Book Chapter | LibreCat-ID: 64675
Glöckner H. Direct limits of infinite-dimensional Lie groups. In: Developments and Trends in Infinite-Dimensional Lie Theory. Basel: Birkhäuser; 2011:243–280. doi:10.1007/978-0-8176-4741-4_8
LibreCat | DOI
 
[51]
2010 | Journal Article | LibreCat-ID: 64680
Glöckner H, Willis GA. Classification of the simple factors appearing in composition series of totally disconnected contraction groups. Journal für die reine und angewandte Mathematik. 2010;643:141–169. doi:10.1515/CRELLE.2010.047
LibreCat | DOI
 
[50]
2010 | Journal Article | LibreCat-ID: 64679
Glöckner H, Gramlich R, Hartnick T. Final group topologies, Kac-Moody groups and Pontryagin duality. Israel Journal of Mathematics. 2010;177:49–101. doi:10.1007/s11856-010-0038-5
LibreCat | DOI
 
[49]
2009 | Book Chapter | LibreCat-ID: 64682
Glöckner H. Applications of hypocontinuous bilinear maps in infinite-dimensional differential calculus. In: Generalized Lie Theory in Mathematics, Physics and Beyond. Berlin: Springer; 2009:171–186. doi:10.1007/978-3-540-85332-9_16
LibreCat | DOI
 
[48]
2008 | Preprint | LibreCat-ID: 64639
Glöckner H. Homotopy groups of ascending unions of infinite-dimensional manifolds. Published online 2008.
LibreCat | arXiv
 
[47]
2008 | Journal Article | LibreCat-ID: 64685
Glöckner H. Ultrametric and non-locally convex analogues of the general curve Lemma of convenient differential calculus. Glasgow Mathematical Journal. 2008;50(2):271–288. doi:10.1017/S0017089508004199
LibreCat | DOI
 
[46]
2008 | Journal Article | LibreCat-ID: 64684
Glöckner H. Solutions to open problems in Neeb’s recent survey on infinite-dimensional Lie groups. Geometriae Dedicata. 2008;135:71–86. doi:10.1007/s10711-008-9263-z
LibreCat | DOI
 
[45]
2008 | Journal Article | LibreCat-ID: 64683
Glöckner H. Contractible Lie groups over local fields. Mathematische Zeitschrift. 2008;260(4):889–904. doi:10.1007/s00209-008-0305-x
LibreCat | DOI
 
[44]
2007 | Journal Article | LibreCat-ID: 64691
Glöckner H. Direct limit groups do not have small subgroups. Topology and its Applications. 2007;154(6):1126-1133. doi:https://doi.org/10.1016/j.topol.2006.11.003
LibreCat | DOI
 
[43]
2007 | Journal Article | LibreCat-ID: 64692
Glöckner H, Lucht LG, Porubský Š. Solutions to arithmetic convolution equations. Proceedings of the American Mathematical Society. 2007;135(6):1619–1629. doi:10.1090/S0002-9939-07-08738-2
LibreCat | DOI
 
[42]
2007 | Journal Article | LibreCat-ID: 64690
Glöckner H. Direct limits of infinite-dimensional Lie groups compared to direct limits in related categories. Journal of Functional Analysis. 2007;245(1):19–61. doi:10.1016/j.jfa.2006.12.018
LibreCat | DOI
 
[41]
2007 | Journal Article | LibreCat-ID: 64687
Glöckner H. Instructive examples of smooth, complex differentiable and complex analytic mappings into locally convex spaces. Journal of Mathematics of Kyoto University. 2007;47(3):631–642. doi:10.1215/kjm/1250281028
LibreCat | DOI
 
[40]
2007 | Journal Article | LibreCat-ID: 64689
Glöckner H. Comparison of some notions of C^k-maps in multi-variable non-archimedian analysis. Bulletin of the Belgian Mathematical Society - Simon Stevin. 2007;14(5):877–904.
LibreCat
 
[39]
2007 | Journal Article | LibreCat-ID: 64686
Glöckner H, Willis GA. Directions of automorphisms of Lie groups over local fields compared to the directions of Lie algebra automorphisms. Topology Proceedings. 2007;31(2):481–501.
LibreCat
 
[38]
2007 | Journal Article | LibreCat-ID: 64688
Glöckner H. Simplified proofs for the pro-Lie group theorem and the one-parameter subgroup lifting lemma. Journal of Lie Theory. 2007;17(4):899–902.
LibreCat
 
[37]
2006 | Book Chapter | LibreCat-ID: 64693
Glöckner H. Aspects of p-adic nonlinear functional analysis. In: P-Adic Mathematical Physics. 2nd International Conference, Belgrade, Serbia and Montenegro, 15–21 September 2005. Melville, NY: American Institute of Physics (AIP); 2006:237–253. doi:10.1063/1.2193126
LibreCat | DOI
 
[36]
2006 | Preprint | LibreCat-ID: 64742
Glöckner H. Implicit functions from topological vector spaces to Fréchet spaces in the presence of metric estimates. Published online 2006.
LibreCat | arXiv
 
[35]
2006 | Journal Article | LibreCat-ID: 64696
Glöckner H. Locally compact groups built up from p-adic Lie groups, for p in a given set of primes. Journal of Group Theory. 2006;9(4):427–454. doi:10.1515/JGT.2006.028
LibreCat | DOI
 
[34]
2006 | Journal Article | LibreCat-ID: 64697
Glöckner H. Discontinuous non-linear mappings on locally convex direct limits. Publicationes Mathematicae Debrecen. 2006;68(1-2):1–13. doi:10.5486/pmd.2006.2714
LibreCat | DOI
 
[33]
2006 | Journal Article | LibreCat-ID: 64698
Glöckner H. Every smooth p-adic Lie group admits a compatible analytic structure. Forum Mathematicum. 2006;18(1):45–84. doi:10.1515/FORUM.2006.003
LibreCat | DOI
 
[32]
2006 | Journal Article | LibreCat-ID: 64694
Glöckner H. Implicit functions from topological vector spaces to Banach spaces. Israel Journal of Mathematics. 2006;155:205–252. doi:10.1007/BF02773955
LibreCat | DOI
 
[31]
2006 | Journal Article | LibreCat-ID: 64695
Glöckner H. Fundamental problems in the theory of infinite-dimensional Lie groups. The Journal of Geometry and Symmetry in Physics. 2006;5:24–35.
LibreCat
 
[30]
2005 | Preprint | LibreCat-ID: 64741
Glöckner H. Finite order differentiability properties, fixed points and implicit functions over valued fields. Published online 2005.
LibreCat | arXiv
 
[29]
2005 | Journal Article | LibreCat-ID: 64700
Glöckner H. Hölder continuous homomorphisms between infinite-dimensional Lie groups are smooth. Journal of Functional Analysis. 2005;228(2):419–444. doi:10.1016/j.jfa.2005.06.023
LibreCat | DOI
 
[28]
2005 | Journal Article | LibreCat-ID: 64702
Glöckner H. Conveniently Hölder homomorphisms are smooth in the convenient sense. Annals of Global Analysis and Geometry. 2005;27(3):227–255. doi:10.1007/s10455-005-0040-z
LibreCat | DOI
 
[27]
2005 | Journal Article | LibreCat-ID: 64704
Glöckner H. Smooth Lie groups over local fields of positive characteristic need not be analytic. Journal of Algebra. 2005;285(1):356–371. doi:10.1016/j.jalgebra.2004.11.018
LibreCat | DOI
 
[26]
2005 | Journal Article | LibreCat-ID: 64701
Glöckner H. Contraction groups for tidy automorphisms of totally disconnected groups. Glasgow Mathematical Journal. 2005;47(2):329–333. doi:10.1017/S0017089505002557
LibreCat | DOI
 
[25]
2005 | Journal Article | LibreCat-ID: 64703
Glöckner H. Diff(R^n) as a Milnor-Lie group. Mathematische Nachrichten. 2005;278(9):1025–1032. doi:10.1002/mana.200310288
LibreCat | DOI
 
[24]
2005 | Journal Article | LibreCat-ID: 64699
Glöckner H. Fundamentals of direct limit Lie theory. Compositio Mathematica. 2005;141(6):1551–1577. doi:10.1112/S0010437X05001491
LibreCat | DOI
 
[23]
2004 | Book Chapter | LibreCat-ID: 64708
Glöckner H. 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. Berlin: de Gruyter; 2004:1–16.
LibreCat
 
[22]
2004 | Preprint | LibreCat-ID: 64743
Glöckner H. Lie groups over non-discrete topological fields. Published online 2004.
LibreCat | arXiv
 
[21]
2004 | Journal Article | LibreCat-ID: 64707
Bertram W, Glöckner H, Neeb K-H. Differential calculus over general base fields and rings. Expositiones Mathematicae. 2004;22(3):213–282. doi:10.1016/S0723-0869(04)80006-9
LibreCat | DOI
 
[20]
2004 | Journal Article | LibreCat-ID: 64705
Glöckner H. Tensor products in the category of topological vector spaces are not associative. Commentationes Mathematicae Universitatis Carolinae. 2004;45(4):607–614.
LibreCat
 
[19]
2004 | Journal Article | LibreCat-ID: 64706
Glöckner H. Examples of differentiable mappings into non-locally convex spaces. Topology Proceedings. 2004;28(2):479–486.
LibreCat
 
[18]
2003 | Book | LibreCat-ID: 64710
Glöckner H. Positive Definite Functions on Infinite-Dimensional Convex Cones. Vol 789. Providence, RI: American Mathematical Society (AMS); 2003. doi:10.1090/memo/0789
LibreCat | DOI
 
[17]
2003 | Journal Article | LibreCat-ID: 64712
Glöckner H, Neeb K-H. Banach-Lie quotients, enlargibility, and universal complexifications. Journal für die reine und angewandte Mathematik. 2003;560:1–28. doi:10.1515/crll.2003.056
LibreCat | DOI
 
[16]
2003 | Journal Article | LibreCat-ID: 64711
Glöckner H. Lie groups of measurable mappings. Canadian Journal of Mathematics. 2003;55(5):969–999. doi:10.4153/CJM-2003-039-9
LibreCat | DOI
 
[15]
2003 | Journal Article | LibreCat-ID: 64709
Glöckner H. Direct limit Lie groups and manifolds. Journal of Mathematics of Kyoto University. 2003;43(1):1–26. doi:10.1215/kjm/1250283739
LibreCat | DOI
 
[14]
2002 | Book Chapter | LibreCat-ID: 64716
Glöckner H. 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. Warszawa: Polish Academy of Sciences, Institute of Mathematics; 2002:43–59.
LibreCat
 
[13]
2002 | Book Chapter | LibreCat-ID: 64715
Glöckner H, Winkelmann J. 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. Lemgo: Heldermann Verlag; 2002:205–210.
LibreCat
 
[12]
2002 | Journal Article | LibreCat-ID: 64717
Glöckner H. Real and p-adic Lie algebra functors on the category of topological groups. Pacific Journal of Mathematics. 2002;203(2):321–368. doi:10.2140/pjm.2002.203.321
LibreCat | DOI
 
[11]
2002 | Journal Article | LibreCat-ID: 64714
Glöckner H. Lie group structures on quotient groups and universal complexifications for infinite-dimensional Lie groups. Journal of Functional Analysis. 2002;194(2):347–409. doi:10.1006/jfan.2002.3942
LibreCat | DOI
 
[10]
2002 | Journal Article | LibreCat-ID: 64721
Glöckner H. Algebras whose groups of units are Lie groups. Studia Mathematica. 2002;153(2):147–177. doi:10.4064/sm153-2-4
LibreCat | DOI
 
[9]
2002 | Journal Article | LibreCat-ID: 64718
Glöckner H. Approximation by p-adic Lie groups. Glasgow Mathematical Journal. 2002;44(2):231–239. doi:10.1017/S0017089502020049
LibreCat | DOI
 
[8]
2002 | Journal Article | LibreCat-ID: 64713
Glöckner H, Willis GA. Topologization of Hecke pairs and Hecke C^*-algebras. Topology Proceedings. 2002;26(2):565–591.
LibreCat
 
[7]
2001 | Book Chapter | LibreCat-ID: 64723
Glöckner H, Neeb K-H. Minimally almost periodic Abelian groups and commutative W^*-algebras. In: Nuclear Groups and Lie Groups. Selected Lectures of the Workshop, Madrid, Spain, September 1999. Lemgo: Heldermann Verlag; 2001:163–185.
LibreCat
 
[6]
2001 | Journal Article | LibreCat-ID: 64725
Glöckner H, Willis GA. Uniscalar p-adic Lie groups. Forum Mathematicum. 2001;13(3):413–421. doi:10.1515/form.2001.015
LibreCat | DOI
 
[5]
2001 | Journal Article | LibreCat-ID: 64724
Glöckner H. Functions operating on positive semidefinite quaternionic matrices. Monatshefte für Mathematik. 2001;132(4):303–324. doi:10.1007/s006050170036
LibreCat | DOI
 
[4]
2000 | Journal Article | LibreCat-ID: 64726
Glöckner H. Representations of cones and conelike semigroups. Semigroup Forum. 2000;60(2):326–333. doi:10.1007/s002339910025
LibreCat | DOI
 
[3]
1998 | Journal Article | LibreCat-ID: 64729
Glöckner H. Scale functions on linear groups over local skew fields. Journal of Algebra. 1998;205(2):525–541. doi:10.1006/jabr.1997.7409
LibreCat | DOI
 
[2]
1998 | Journal Article | LibreCat-ID: 64728
Glöckner H. Scale functions on p-adic Lie groups. Manuscripta Mathematica. 1998;97(2):205–215. doi:10.1007/s002290050097
LibreCat | DOI
 
[1]
1996 | Journal Article | LibreCat-ID: 64730
Glöckner H. Haar measure on linear groups over local skew fields. Journal of Lie Theory. 1996;6(2):165–177.
LibreCat
 
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101 Publications

Mark all

[101]
2026 | Preprint | LibreCat-ID: 64629
Glöckner H, Neeb K-H. Infinite-dimensional Lie groups. Published online 2026.
LibreCat | arXiv
 
[100]
2026 | Preprint | LibreCat-ID: 65036
Cohen T, Glöckner H, Goffer G, Lederle W. Compact invariant random subgroups. Published online 2026.
LibreCat | arXiv
 
[99]
2025 | Journal Article | LibreCat-ID: 63649
Glöckner H, Schmeding A, Suri A. Manifolds of continuous BV-functions and vector measure regularity of Banach–Lie groups. Geometric Mechanics. 2025;01(04):383-437. doi:10.1142/s2972458925500029
LibreCat | DOI
 
[98]
2025 | Special Issue | LibreCat-ID: 64736
Frahm J, Glöckner H, Hilgert J, Olafsson G, eds. Special Issue of Journal of Lie Theory Dedicated to Karl-Hermann Neeb on the Occasion of His 60th Birthday. Vol 35.; 2025.
LibreCat
 
[97]
2025 | Journal Article | LibreCat-ID: 34807
Glöckner H. Lie groups of real analytic diffeomorphisms are L^1-regular. Nonlinear Analysis. 2025;252. doi:10.1016/j.na.2024.113690
LibreCat | DOI
 
[96]
2024 | Preprint | LibreCat-ID: 56116
Glöckner H, Grong E, Schmeding A. Boundary values of diffeomorphisms of simple polytopes, and controllability. Published online 2024.
LibreCat | arXiv
 
[95]
2024 | Preprint | LibreCat-ID: 56583
Glöckner H, Suri A. L^1-regularity of strong ILB-Lie groups. Published online 2024.
LibreCat | arXiv
 
[94]
2023 | Journal Article | LibreCat-ID: 34793
Glöckner H, Hilgert J. Aspects of control theory on infinite-dimensional Lie groups and G-manifolds. Journal of Differential Equations. 2023;343:186–232. doi:10.1016/j.jde.2022.10.001
LibreCat | DOI | arXiv
 
[93]
2023 | Journal Article | LibreCat-ID: 34803
Celledoni E, Glöckner H, Riseth J, Schmeding A. Deep neural networks on diffeomorphism groups for optimal shape reparametrization. BIT Numerical Mathematics. 2023;63. doi:10.1007/s10543-023-00989-05
LibreCat | DOI | arXiv
 
[92]
2023 | Journal Article | LibreCat-ID: 34805
Glöckner H. Diffeomorphism groups of convex polytopes. Journal of Convex Analysis. 2023;30(1):343-358.
LibreCat | arXiv
 
[91]
2023 | Journal Article | LibreCat-ID: 34801
Glöckner H, Tárrega L. Mapping groups associated with real-valued function spaces and direct limits of Sobolev-Lie groups . Journal of Lie Theory. 2023;33(1):271-296.
LibreCat | arXiv
 
[90]
2022 | Journal Article | LibreCat-ID: 34792
Glöckner H. Non-Lie subgroups in Lie groups over local fields of positive characteristic. p-Adic Numbers, Ultrametric Analysis, and Applications. 2022;14(2):138–144. doi:10.1134/S2070046622020042
LibreCat | DOI
 
[89]
2022 | Journal Article | LibreCat-ID: 34791
Glöckner H, Schmeding A. Manifolds of mappings on Cartesian products. Annals of Global Analysis and Geometry. 2022;61(2):359–398. doi:10.1007/s10455-021-09816-y
LibreCat | DOI
 
[88]
2022 | Journal Article | LibreCat-ID: 34796
Glöckner H. Aspects of differential calculus related to infinite-dimensional vector bundles and Poisson vector spaces. Axioms. 2022;11(5). doi:10.3390/axioms11050221
LibreCat | DOI
 
[87]
2022 | Preprint | LibreCat-ID: 34804
Glöckner H. Birkhoff decompositions for loop groups with coefficient algebras. arXiv:220611711. Published online 2022.
LibreCat | arXiv
 
[86]
2021 | Journal Article | LibreCat-ID: 34786
Glöckner H, Willis GA. Decompositions of locally compact contraction groups, series and extensions. Journal of Algebra. 2021;570:164-214. doi:https://doi.org/10.1016/j.jalgebra.2020.11.007
LibreCat | DOI
 
[85]
2021 | Journal Article | LibreCat-ID: 34795
Glöckner H. Direct limits of regular Lie groups. Mathematische Nachrichten. 2021;294(1):74–81. doi:10.1002/mana.201900073
LibreCat | DOI
 
[84]
2021 | Preprint | LibreCat-ID: 34806
Glöckner H. Contraction groups and the big cell for endomorphisms of Lie groups over  local fields. arXiv:210102981. Published online 2021.
LibreCat | arXiv
 
[83]
2021 | Journal Article | LibreCat-ID: 34790
Glöckner H, Willis GA. Locally pro-p contraction groups are nilpotent. Journal für die reine und angewandte Mathematik. 2021;781:85–103. doi:10.1515/crelle-2021-0050
LibreCat | DOI
 
[82]
2020 | Journal Article | LibreCat-ID: 34789
Amiri H, Glöckner H, Schmeding A. Lie groupoids of mappings taking values in a Lie groupoid. Archivum Mathematicum. 2020;56(5):307–356. doi:10.5817/AM2020-5-307
LibreCat | DOI
 
[81]
2020 | Journal Article | LibreCat-ID: 34787
Glöckner H, Masbough N. Products of regular locally compact spaces are k_R-spaces. Topology Proceedings. 2020;55:35–38.
LibreCat
 
[80]
2020 | Preprint | LibreCat-ID: 34808
Glöckner H. Smoothing operators for vector-valued functions and extension operators. arXiv:200600254. Published online 2020.
LibreCat | arXiv
 
[79]
2019 | Journal Article | LibreCat-ID: 64630
Glöckner H. Completeness of infinite-dimensional Lie groups in their left uniformity. Canadian Journal of Mathematics. 2019;71(1):131–152. doi:10.4153/CJM-2017-048-5
LibreCat | DOI
 
[78]
2018 | Book Chapter | LibreCat-ID: 64633
Glöckner H. Lectures on Lie groups over local fields. In: New Directions in Locally Compact Groups. Cambridge: Cambridge University Press; 2018:37–72. doi:10.1017/9781108332675.005
LibreCat | DOI
 
[77]
2018 | Book Chapter | LibreCat-ID: 64632
Glöckner H. Endomorphisms of Lie groups over local fields. In: 2016 MATRIX Annals. Cham: Springer; 2018:101–165. doi:10.1007/978-3-319-72299-3_6
LibreCat | DOI
 
[76]
2018 | Journal Article | LibreCat-ID: 64631
Bywaters TP, Glöckner H, Tornier S. Contraction groups and passage to subgroups and quotients for endomorphisms of totally disconnected locally compact groups. Israel Journal of Mathematics. 2018;227(2):691–752. doi:10.1007/s11856-018-1750-9
LibreCat | DOI
 
[75]
2017 | Journal Article | LibreCat-ID: 64635
Glöckner H, Neeb K-H. Diffeomorphism groups of compact convex sets. Indagationes Mathematicae. 2017;28(4):760–783. doi:10.1016/j.indag.2017.04.004
LibreCat | DOI
 
[74]
2017 | Journal Article | LibreCat-ID: 64638
Glöckner H, Raja CRE. Expansive automorphisms of totally disconnected, locally compact groups. Journal of Group Theory. 2017;20(3):589–619. doi:10.1515/jgth-2016-0051
LibreCat | DOI
 
[73]
2017 | Journal Article | LibreCat-ID: 64636
Glöckner H. Elementary p-adic Lie groups have finite construction rank. Proceedings of the American Mathematical Society. 2017;145(11):5007–5021. doi:10.1090/proc/13637
LibreCat | DOI
 
[72]
2017 | Journal Article | LibreCat-ID: 64634
Glöckner H. Completeness of locally k_ω-groups and related infinite-dimensional Lie groups. Topology and its Applications. 2017;228:277–284. doi:10.1016/j.topol.2017.05.007
LibreCat | DOI
 
[71]
2016 | Book Chapter | LibreCat-ID: 64640
Glöckner H. 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. Providence, RI: American Mathematical Society (AMS); 2016:73–90. doi:10.1090/conm/665/13367
LibreCat | DOI
 
[70]
2016 | Book (Editor) | LibreCat-ID: 64643
Glöckner H, Escassut A, Shamseddine K, eds. Advances in Non-Archimedean Analysis. 13th International Conference on p-Adic Functional Analysis, University of Paderborn, Paderborn, Germany, August 12--16, 2014.; 2016. doi:10.1090/conm/665
LibreCat | DOI
 
[69]
2016 | Journal Article | LibreCat-ID: 64641
Glöckner H. The kernel of the adjoint representation of a p-adic Lie group need not have an abelian open normal subgroup. Communications in Algebra. 2016;44(7):2981–2988. doi:10.1080/00927872.2015.1065859
LibreCat | DOI
 
[68]
2015 | Preprint | LibreCat-ID: 64738
Glöckner H. Fundamentals of submersions and immersions between infinite-dimensional manifolds. Published online 2015.
LibreCat | arXiv
 
[67]
2015 | Preprint | LibreCat-ID: 64737
Glöckner H. Measurable regularity properties of infinite-dimensional Lie groups. Published online 2015.
LibreCat | arXiv
 
[66]
2015 | Journal Article | LibreCat-ID: 64665
Dahmen R, Glöckner H. Bounded solutions of finite lifetime to differential equations in Banach spaces. Acta Scientiarum Mathematicarum. 2015;81(3-4):457–468. doi:10.14232/actasm-014-271-7
LibreCat | DOI
 
[65]
2014 | Preprint | LibreCat-ID: 64739
Dahmen R, Glöckner H, Schmeding A. Complexifications of infinite-dimensional manifolds and new constructions of infinite-dimensional Lie groups. Published online 2014.
LibreCat | arXiv
 
[64]
2014 | Journal Article | LibreCat-ID: 64667
Birth L, Glöckner H. Continuity of convolution of test functions on Lie groups. Canadian Journal of Mathematics. 2014;66(1):102–140. doi:10.4153/CJM-2012-035-6
LibreCat | DOI
 
[63]
2014 | Journal Article | LibreCat-ID: 64666
Glöckner H, Lucht LG. Weighted inversion of general Dirichlet series. Transactions of the American Mathematical Society. 2014;366(6):3275–3293. doi:10.1090/S0002-9947-2013-06018-7
LibreCat | DOI
 
[62]
2013 | Book Chapter | LibreCat-ID: 64731
Glöckner H. 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 H. Differentiable mappings between spaces of sections. Published online 2013.
LibreCat | arXiv
 
[60]
2013 | Journal Article | LibreCat-ID: 64669
Glöckner H. Continuity of LF-algebra representations associated to representations of Lie groups. Kyoto Journal of Mathematics. 2013;53(3):567–595. doi:10.1215/21562261-2265895
LibreCat | DOI
 
[59]
2013 | Journal Article | LibreCat-ID: 64670
Glöckner H. Invariant manifolds for analytic dynamical systems over ultrametric fields. Expositiones Mathematicae. 2013;31(2):116–150. doi:10.1016/j.exmath.2013.01.009
LibreCat | DOI
 
[58]
2013 | Journal Article | LibreCat-ID: 64668
Glöckner H. Exponential laws for ultrametric partially differentiable functions and applications. p-Adic Numbers, Ultrametric Analysis and Applications. 2013;5(2):122–159. doi:10.1134/S2070046613020039
LibreCat | DOI
 
[57]
2012 | Preprint | LibreCat-ID: 64740
Glöckner H. Regularity properties of infinite-dimensional Lie groups, and semiregularity. Published online 2012.
LibreCat | arXiv
 
[56]
2012 | Journal Article | LibreCat-ID: 64672
Glöckner H. Upper bounds for continuous seminorms and special properties of bilinear maps. Topology and its Applications. 2012;159(13):2990–3001. doi:10.1016/j.topol.2012.05.010
LibreCat | DOI
 
[55]
2012 | Journal Article | LibreCat-ID: 64673
Glöckner H, Langkamp B. Topological algebras of rapidly decreasing matrices and generalizations. Topology and its Applications. 2012;159(9):2420–2422. doi:10.1016/j.topol.2011.09.048
LibreCat | DOI
 
[54]
2012 | Journal Article | LibreCat-ID: 64674
Glöckner H. Continuity of bilinear maps on direct sums of topological vector spaces. Journal of Functional Analysis. 2012;262(5):2013–2030. doi:10.1016/j.jfa.2011.12.018
LibreCat | DOI
 
[53]
2012 | Journal Article | LibreCat-ID: 64671
Glöckner H, Neeb K-H. When unit groups of continuous inverse algebras are regular Lie groups. Studia Mathematica. 2012;211(2):95–109. doi:10.4064/sm211-2-1
LibreCat | DOI
 
[52]
2011 | Book Chapter | LibreCat-ID: 64675
Glöckner H. Direct limits of infinite-dimensional Lie groups. In: Developments and Trends in Infinite-Dimensional Lie Theory. Basel: Birkhäuser; 2011:243–280. doi:10.1007/978-0-8176-4741-4_8
LibreCat | DOI
 
[51]
2010 | Journal Article | LibreCat-ID: 64680
Glöckner H, Willis GA. Classification of the simple factors appearing in composition series of totally disconnected contraction groups. Journal für die reine und angewandte Mathematik. 2010;643:141–169. doi:10.1515/CRELLE.2010.047
LibreCat | DOI
 
[50]
2010 | Journal Article | LibreCat-ID: 64679
Glöckner H, Gramlich R, Hartnick T. Final group topologies, Kac-Moody groups and Pontryagin duality. Israel Journal of Mathematics. 2010;177:49–101. doi:10.1007/s11856-010-0038-5
LibreCat | DOI
 
[49]
2009 | Book Chapter | LibreCat-ID: 64682
Glöckner H. Applications of hypocontinuous bilinear maps in infinite-dimensional differential calculus. In: Generalized Lie Theory in Mathematics, Physics and Beyond. Berlin: Springer; 2009:171–186. doi:10.1007/978-3-540-85332-9_16
LibreCat | DOI
 
[48]
2008 | Preprint | LibreCat-ID: 64639
Glöckner H. Homotopy groups of ascending unions of infinite-dimensional manifolds. Published online 2008.
LibreCat | arXiv
 
[47]
2008 | Journal Article | LibreCat-ID: 64685
Glöckner H. Ultrametric and non-locally convex analogues of the general curve Lemma of convenient differential calculus. Glasgow Mathematical Journal. 2008;50(2):271–288. doi:10.1017/S0017089508004199
LibreCat | DOI
 
[46]
2008 | Journal Article | LibreCat-ID: 64684
Glöckner H. Solutions to open problems in Neeb’s recent survey on infinite-dimensional Lie groups. Geometriae Dedicata. 2008;135:71–86. doi:10.1007/s10711-008-9263-z
LibreCat | DOI
 
[45]
2008 | Journal Article | LibreCat-ID: 64683
Glöckner H. Contractible Lie groups over local fields. Mathematische Zeitschrift. 2008;260(4):889–904. doi:10.1007/s00209-008-0305-x
LibreCat | DOI
 
[44]
2007 | Journal Article | LibreCat-ID: 64691
Glöckner H. Direct limit groups do not have small subgroups. Topology and its Applications. 2007;154(6):1126-1133. doi:https://doi.org/10.1016/j.topol.2006.11.003
LibreCat | DOI
 
[43]
2007 | Journal Article | LibreCat-ID: 64692
Glöckner H, Lucht LG, Porubský Š. Solutions to arithmetic convolution equations. Proceedings of the American Mathematical Society. 2007;135(6):1619–1629. doi:10.1090/S0002-9939-07-08738-2
LibreCat | DOI
 
[42]
2007 | Journal Article | LibreCat-ID: 64690
Glöckner H. Direct limits of infinite-dimensional Lie groups compared to direct limits in related categories. Journal of Functional Analysis. 2007;245(1):19–61. doi:10.1016/j.jfa.2006.12.018
LibreCat | DOI
 
[41]
2007 | Journal Article | LibreCat-ID: 64687
Glöckner H. Instructive examples of smooth, complex differentiable and complex analytic mappings into locally convex spaces. Journal of Mathematics of Kyoto University. 2007;47(3):631–642. doi:10.1215/kjm/1250281028
LibreCat | DOI
 
[40]
2007 | Journal Article | LibreCat-ID: 64689
Glöckner H. Comparison of some notions of C^k-maps in multi-variable non-archimedian analysis. Bulletin of the Belgian Mathematical Society - Simon Stevin. 2007;14(5):877–904.
LibreCat
 
[39]
2007 | Journal Article | LibreCat-ID: 64686
Glöckner H, Willis GA. Directions of automorphisms of Lie groups over local fields compared to the directions of Lie algebra automorphisms. Topology Proceedings. 2007;31(2):481–501.
LibreCat
 
[38]
2007 | Journal Article | LibreCat-ID: 64688
Glöckner H. Simplified proofs for the pro-Lie group theorem and the one-parameter subgroup lifting lemma. Journal of Lie Theory. 2007;17(4):899–902.
LibreCat
 
[37]
2006 | Book Chapter | LibreCat-ID: 64693
Glöckner H. Aspects of p-adic nonlinear functional analysis. In: P-Adic Mathematical Physics. 2nd International Conference, Belgrade, Serbia and Montenegro, 15–21 September 2005. Melville, NY: American Institute of Physics (AIP); 2006:237–253. doi:10.1063/1.2193126
LibreCat | DOI
 
[36]
2006 | Preprint | LibreCat-ID: 64742
Glöckner H. Implicit functions from topological vector spaces to Fréchet spaces in the presence of metric estimates. Published online 2006.
LibreCat | arXiv
 
[35]
2006 | Journal Article | LibreCat-ID: 64696
Glöckner H. Locally compact groups built up from p-adic Lie groups, for p in a given set of primes. Journal of Group Theory. 2006;9(4):427–454. doi:10.1515/JGT.2006.028
LibreCat | DOI
 
[34]
2006 | Journal Article | LibreCat-ID: 64697
Glöckner H. Discontinuous non-linear mappings on locally convex direct limits. Publicationes Mathematicae Debrecen. 2006;68(1-2):1–13. doi:10.5486/pmd.2006.2714
LibreCat | DOI
 
[33]
2006 | Journal Article | LibreCat-ID: 64698
Glöckner H. Every smooth p-adic Lie group admits a compatible analytic structure. Forum Mathematicum. 2006;18(1):45–84. doi:10.1515/FORUM.2006.003
LibreCat | DOI
 
[32]
2006 | Journal Article | LibreCat-ID: 64694
Glöckner H. Implicit functions from topological vector spaces to Banach spaces. Israel Journal of Mathematics. 2006;155:205–252. doi:10.1007/BF02773955
LibreCat | DOI
 
[31]
2006 | Journal Article | LibreCat-ID: 64695
Glöckner H. Fundamental problems in the theory of infinite-dimensional Lie groups. The Journal of Geometry and Symmetry in Physics. 2006;5:24–35.
LibreCat
 
[30]
2005 | Preprint | LibreCat-ID: 64741
Glöckner H. Finite order differentiability properties, fixed points and implicit functions over valued fields. Published online 2005.
LibreCat | arXiv
 
[29]
2005 | Journal Article | LibreCat-ID: 64700
Glöckner H. Hölder continuous homomorphisms between infinite-dimensional Lie groups are smooth. Journal of Functional Analysis. 2005;228(2):419–444. doi:10.1016/j.jfa.2005.06.023
LibreCat | DOI
 
[28]
2005 | Journal Article | LibreCat-ID: 64702
Glöckner H. Conveniently Hölder homomorphisms are smooth in the convenient sense. Annals of Global Analysis and Geometry. 2005;27(3):227–255. doi:10.1007/s10455-005-0040-z
LibreCat | DOI
 
[27]
2005 | Journal Article | LibreCat-ID: 64704
Glöckner H. Smooth Lie groups over local fields of positive characteristic need not be analytic. Journal of Algebra. 2005;285(1):356–371. doi:10.1016/j.jalgebra.2004.11.018
LibreCat | DOI
 
[26]
2005 | Journal Article | LibreCat-ID: 64701
Glöckner H. Contraction groups for tidy automorphisms of totally disconnected groups. Glasgow Mathematical Journal. 2005;47(2):329–333. doi:10.1017/S0017089505002557
LibreCat | DOI
 
[25]
2005 | Journal Article | LibreCat-ID: 64703
Glöckner H. Diff(R^n) as a Milnor-Lie group. Mathematische Nachrichten. 2005;278(9):1025–1032. doi:10.1002/mana.200310288
LibreCat | DOI
 
[24]
2005 | Journal Article | LibreCat-ID: 64699
Glöckner H. Fundamentals of direct limit Lie theory. Compositio Mathematica. 2005;141(6):1551–1577. doi:10.1112/S0010437X05001491
LibreCat | DOI
 
[23]
2004 | Book Chapter | LibreCat-ID: 64708
Glöckner H. 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. Berlin: de Gruyter; 2004:1–16.
LibreCat
 
[22]
2004 | Preprint | LibreCat-ID: 64743
Glöckner H. Lie groups over non-discrete topological fields. Published online 2004.
LibreCat | arXiv
 
[21]
2004 | Journal Article | LibreCat-ID: 64707
Bertram W, Glöckner H, Neeb K-H. Differential calculus over general base fields and rings. Expositiones Mathematicae. 2004;22(3):213–282. doi:10.1016/S0723-0869(04)80006-9
LibreCat | DOI
 
[20]
2004 | Journal Article | LibreCat-ID: 64705
Glöckner H. Tensor products in the category of topological vector spaces are not associative. Commentationes Mathematicae Universitatis Carolinae. 2004;45(4):607–614.
LibreCat
 
[19]
2004 | Journal Article | LibreCat-ID: 64706
Glöckner H. Examples of differentiable mappings into non-locally convex spaces. Topology Proceedings. 2004;28(2):479–486.
LibreCat
 
[18]
2003 | Book | LibreCat-ID: 64710
Glöckner H. Positive Definite Functions on Infinite-Dimensional Convex Cones. Vol 789. Providence, RI: American Mathematical Society (AMS); 2003. doi:10.1090/memo/0789
LibreCat | DOI
 
[17]
2003 | Journal Article | LibreCat-ID: 64712
Glöckner H, Neeb K-H. Banach-Lie quotients, enlargibility, and universal complexifications. Journal für die reine und angewandte Mathematik. 2003;560:1–28. doi:10.1515/crll.2003.056
LibreCat | DOI
 
[16]
2003 | Journal Article | LibreCat-ID: 64711
Glöckner H. Lie groups of measurable mappings. Canadian Journal of Mathematics. 2003;55(5):969–999. doi:10.4153/CJM-2003-039-9
LibreCat | DOI
 
[15]
2003 | Journal Article | LibreCat-ID: 64709
Glöckner H. Direct limit Lie groups and manifolds. Journal of Mathematics of Kyoto University. 2003;43(1):1–26. doi:10.1215/kjm/1250283739
LibreCat | DOI
 
[14]
2002 | Book Chapter | LibreCat-ID: 64716
Glöckner H. 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. Warszawa: Polish Academy of Sciences, Institute of Mathematics; 2002:43–59.
LibreCat
 
[13]
2002 | Book Chapter | LibreCat-ID: 64715
Glöckner H, Winkelmann J. 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. Lemgo: Heldermann Verlag; 2002:205–210.
LibreCat
 
[12]
2002 | Journal Article | LibreCat-ID: 64717
Glöckner H. Real and p-adic Lie algebra functors on the category of topological groups. Pacific Journal of Mathematics. 2002;203(2):321–368. doi:10.2140/pjm.2002.203.321
LibreCat | DOI
 
[11]
2002 | Journal Article | LibreCat-ID: 64714
Glöckner H. Lie group structures on quotient groups and universal complexifications for infinite-dimensional Lie groups. Journal of Functional Analysis. 2002;194(2):347–409. doi:10.1006/jfan.2002.3942
LibreCat | DOI
 
[10]
2002 | Journal Article | LibreCat-ID: 64721
Glöckner H. Algebras whose groups of units are Lie groups. Studia Mathematica. 2002;153(2):147–177. doi:10.4064/sm153-2-4
LibreCat | DOI
 
[9]
2002 | Journal Article | LibreCat-ID: 64718
Glöckner H. Approximation by p-adic Lie groups. Glasgow Mathematical Journal. 2002;44(2):231–239. doi:10.1017/S0017089502020049
LibreCat | DOI
 
[8]
2002 | Journal Article | LibreCat-ID: 64713
Glöckner H, Willis GA. Topologization of Hecke pairs and Hecke C^*-algebras. Topology Proceedings. 2002;26(2):565–591.
LibreCat
 
[7]
2001 | Book Chapter | LibreCat-ID: 64723
Glöckner H, Neeb K-H. Minimally almost periodic Abelian groups and commutative W^*-algebras. In: Nuclear Groups and Lie Groups. Selected Lectures of the Workshop, Madrid, Spain, September 1999. Lemgo: Heldermann Verlag; 2001:163–185.
LibreCat
 
[6]
2001 | Journal Article | LibreCat-ID: 64725
Glöckner H, Willis GA. Uniscalar p-adic Lie groups. Forum Mathematicum. 2001;13(3):413–421. doi:10.1515/form.2001.015
LibreCat | DOI
 
[5]
2001 | Journal Article | LibreCat-ID: 64724
Glöckner H. Functions operating on positive semidefinite quaternionic matrices. Monatshefte für Mathematik. 2001;132(4):303–324. doi:10.1007/s006050170036
LibreCat | DOI
 
[4]
2000 | Journal Article | LibreCat-ID: 64726
Glöckner H. Representations of cones and conelike semigroups. Semigroup Forum. 2000;60(2):326–333. doi:10.1007/s002339910025
LibreCat | DOI
 
[3]
1998 | Journal Article | LibreCat-ID: 64729
Glöckner H. Scale functions on linear groups over local skew fields. Journal of Algebra. 1998;205(2):525–541. doi:10.1006/jabr.1997.7409
LibreCat | DOI
 
[2]
1998 | Journal Article | LibreCat-ID: 64728
Glöckner H. Scale functions on p-adic Lie groups. Manuscripta Mathematica. 1998;97(2):205–215. doi:10.1007/s002290050097
LibreCat | DOI
 
[1]
1996 | Journal Article | LibreCat-ID: 64730
Glöckner H. Haar measure on linear groups over local skew fields. Journal of Lie Theory. 1996;6(2):165–177.
LibreCat
 
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