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
H. Glöckner and K.-H. Neeb, “Infinite-dimensional Lie groups.” 2026.
LibreCat | arXiv
 
[100]
2026 | Preprint | LibreCat-ID: 65036
T. Cohen, H. Glöckner, G. Goffer, and W. Lederle, “Compact invariant random subgroups.” 2026.
LibreCat | arXiv
 
[99]
2025 | Journal Article | LibreCat-ID: 63649
H. Glöckner, A. Schmeding, and A. Suri, “Manifolds of continuous BV-functions and vector measure regularity of Banach–Lie groups,” Geometric Mechanics, vol. 01, no. 04, pp. 383–437, 2025, doi: 10.1142/s2972458925500029.
LibreCat | DOI
 
[98]
2025 | Special Issue | LibreCat-ID: 64736
J. Frahm, H. Glöckner, J. Hilgert, and G. Olafsson, Eds., Special issue of Journal of Lie Theory dedicated to Karl-Hermann Neeb on the occasion of his 60th birthday, vol. 35, no. 4. 2025.
LibreCat
 
[97]
2025 | Journal Article | LibreCat-ID: 34807
H. Glöckner, “Lie groups of real analytic diffeomorphisms are L^1-regular,” Nonlinear Analysis, vol. 252, Art. no. 113690, 2025, doi: 10.1016/j.na.2024.113690.
LibreCat | DOI
 
[96]
2024 | Preprint | LibreCat-ID: 56116
H. Glöckner, E. Grong, and A. Schmeding, “Boundary values of diffeomorphisms of simple polytopes, and controllability.” 2024.
LibreCat | arXiv
 
[95]
2024 | Preprint | LibreCat-ID: 56583
H. Glöckner and A. Suri, “L^1-regularity of strong ILB-Lie groups.” 2024.
LibreCat | arXiv
 
[94]
2023 | Journal Article | LibreCat-ID: 34793
H. Glöckner and J. Hilgert, “Aspects of control theory on infinite-dimensional Lie groups and G-manifolds,” Journal of Differential Equations, vol. 343, pp. 186–232, 2023, doi: 10.1016/j.jde.2022.10.001.
LibreCat | DOI | arXiv
 
[93]
2023 | Journal Article | LibreCat-ID: 34803
E. Celledoni, H. Glöckner, J. Riseth, and A. Schmeding, “Deep neural networks on diffeomorphism groups for optimal shape reparametrization,” BIT Numerical Mathematics, vol. 63, Art. no. 50, 2023, doi: 10.1007/s10543-023-00989-05.
LibreCat | DOI | arXiv
 
[92]
2023 | Journal Article | LibreCat-ID: 34805
H. Glöckner, “Diffeomorphism groups of convex polytopes,” Journal of Convex Analysis, vol. 30, no. 1, pp. 343–358, 2023.
LibreCat | arXiv
 
[91]
2023 | Journal Article | LibreCat-ID: 34801
H. Glöckner and L. Tárrega, “Mapping groups associated with real-valued function spaces and direct limits of Sobolev-Lie groups ,” Journal of Lie Theory, vol. 33, no. 1, pp. 271–296, 2023.
LibreCat | arXiv
 
[90]
2022 | Journal Article | LibreCat-ID: 34792
H. Glöckner, “Non-Lie subgroups in Lie groups over local fields of positive characteristic,” p-Adic Numbers, Ultrametric Analysis, and Applications, vol. 14, no. 2, pp. 138–144, 2022, doi: 10.1134/S2070046622020042.
LibreCat | DOI
 
[89]
2022 | Journal Article | LibreCat-ID: 34791
H. Glöckner and A. Schmeding, “Manifolds of mappings on Cartesian products,” Annals of Global Analysis and Geometry, vol. 61, no. 2, pp. 359–398, 2022, doi: 10.1007/s10455-021-09816-y.
LibreCat | DOI
 
[88]
2022 | Journal Article | LibreCat-ID: 34796
H. Glöckner, “Aspects of differential calculus related to infinite-dimensional vector bundles and Poisson vector spaces,” Axioms, vol. 11, no. 5, 2022, doi: 10.3390/axioms11050221.
LibreCat | DOI
 
[87]
2022 | Preprint | LibreCat-ID: 34804
H. Glöckner, “Birkhoff decompositions for loop groups with coefficient algebras,” arXiv:2206.11711. 2022.
LibreCat | arXiv
 
[86]
2021 | Journal Article | LibreCat-ID: 34786
H. Glöckner and G. A. Willis, “Decompositions of locally compact contraction groups, series and extensions,” Journal of Algebra, vol. 570, pp. 164–214, 2021, doi: https://doi.org/10.1016/j.jalgebra.2020.11.007.
LibreCat | DOI
 
[85]
2021 | Journal Article | LibreCat-ID: 34795
H. Glöckner, “Direct limits of regular Lie groups,” Mathematische Nachrichten, vol. 294, no. 1, pp. 74–81, 2021, doi: 10.1002/mana.201900073.
LibreCat | DOI
 
[84]
2021 | Preprint | LibreCat-ID: 34806
H. Glöckner, “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
H. Glöckner and G. A. Willis, “Locally pro-p contraction groups are nilpotent,” Journal für die reine und angewandte Mathematik, vol. 781, pp. 85–103, 2021, doi: 10.1515/crelle-2021-0050.
LibreCat | DOI
 
[82]
2020 | Journal Article | LibreCat-ID: 34789
H. Amiri, H. Glöckner, and A. Schmeding, “Lie groupoids of mappings taking values in a Lie groupoid,” Archivum Mathematicum, vol. 56, no. 5, pp. 307–356, 2020, doi: 10.5817/AM2020-5-307.
LibreCat | DOI
 
[81]
2020 | Journal Article | LibreCat-ID: 34787
H. Glöckner and N. Masbough, “Products of regular locally compact spaces are k_R-spaces,” Topology Proceedings, vol. 55, pp. 35–38, 2020.
LibreCat
 
[80]
2020 | Preprint | LibreCat-ID: 34808
H. Glöckner, “Smoothing operators for vector-valued functions and extension operators,” arXiv:2006.00254. 2020.
LibreCat | arXiv
 
[79]
2019 | Journal Article | LibreCat-ID: 64630
H. Glöckner, “Completeness of infinite-dimensional Lie groups in their left uniformity,” Canadian Journal of Mathematics, vol. 71, no. 1, pp. 131–152, 2019, doi: 10.4153/CJM-2017-048-5.
LibreCat | DOI
 
[78]
2018 | Book Chapter | LibreCat-ID: 64633
H. Glöckner, “Lectures on Lie groups over local fields,” in New directions in locally compact groups, Cambridge: Cambridge University Press, 2018, pp. 37–72.
LibreCat | DOI
 
[77]
2018 | Book Chapter | LibreCat-ID: 64632
H. Glöckner, “Endomorphisms of Lie groups over local fields,” in 2016 MATRIX annals, Cham: Springer, 2018, pp. 101–165.
LibreCat | DOI
 
[76]
2018 | Journal Article | LibreCat-ID: 64631
T. P. Bywaters, H. Glöckner, and S. Tornier, “Contraction groups and passage to subgroups and quotients for endomorphisms of totally disconnected locally compact groups,” Israel Journal of Mathematics, vol. 227, no. 2, pp. 691–752, 2018, doi: 10.1007/s11856-018-1750-9.
LibreCat | DOI
 
[75]
2017 | Journal Article | LibreCat-ID: 64635
H. Glöckner and K.-H. Neeb, “Diffeomorphism groups of compact convex sets,” Indagationes Mathematicae, vol. 28, no. 4, pp. 760–783, 2017, doi: 10.1016/j.indag.2017.04.004.
LibreCat | DOI
 
[74]
2017 | Journal Article | LibreCat-ID: 64638
H. Glöckner and C. R. E. Raja, “Expansive automorphisms of totally disconnected, locally compact groups,” Journal of Group Theory, vol. 20, no. 3, pp. 589–619, 2017, doi: 10.1515/jgth-2016-0051.
LibreCat | DOI
 
[73]
2017 | Journal Article | LibreCat-ID: 64636
H. Glöckner, “Elementary p-adic Lie groups have finite construction rank,” Proceedings of the American Mathematical Society, vol. 145, no. 11, pp. 5007–5021, 2017, doi: 10.1090/proc/13637.
LibreCat | DOI
 
[72]
2017 | Journal Article | LibreCat-ID: 64634
H. Glöckner, “Completeness of locally k_ω-groups and related infinite-dimensional Lie groups,” Topology and its Applications, vol. 228, pp. 277–284, 2017, doi: 10.1016/j.topol.2017.05.007.
LibreCat | DOI
 
[71]
2016 | Book Chapter | LibreCat-ID: 64640
H. Glöckner, “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, pp. 73–90.
LibreCat | DOI
 
[70]
2016 | Book (Editor) | LibreCat-ID: 64643
H. Glöckner, A. Escassut, and K. 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.
LibreCat | DOI
 
[69]
2016 | Journal Article | LibreCat-ID: 64641
H. Glöckner, “The kernel of the adjoint representation of a p-adic Lie group need not have an abelian open normal subgroup,” Communications in Algebra, vol. 44, no. 7, pp. 2981–2988, 2016, doi: 10.1080/00927872.2015.1065859.
LibreCat | DOI
 
[68]
2015 | Preprint | LibreCat-ID: 64738
H. Glöckner, “Fundamentals of submersions and immersions between infinite-dimensional manifolds.” 2015.
LibreCat | arXiv
 
[67]
2015 | Preprint | LibreCat-ID: 64737
H. Glöckner, “Measurable regularity properties of infinite-dimensional Lie groups.” 2015.
LibreCat | arXiv
 
[66]
2015 | Journal Article | LibreCat-ID: 64665
R. Dahmen and H. Glöckner, “Bounded solutions of finite lifetime to differential equations in Banach spaces,” Acta Scientiarum Mathematicarum, vol. 81, no. 3–4, pp. 457–468, 2015, doi: 10.14232/actasm-014-271-7.
LibreCat | DOI
 
[65]
2014 | Preprint | LibreCat-ID: 64739
R. Dahmen, H. Glöckner, and A. Schmeding, “Complexifications of infinite-dimensional manifolds and new constructions of infinite-dimensional Lie groups.” 2014.
LibreCat | arXiv
 
[64]
2014 | Journal Article | LibreCat-ID: 64667
L. Birth and H. Glöckner, “Continuity of convolution of test functions on Lie groups,” Canadian Journal of Mathematics, vol. 66, no. 1, pp. 102–140, 2014, doi: 10.4153/CJM-2012-035-6.
LibreCat | DOI
 
[63]
2014 | Journal Article | LibreCat-ID: 64666
H. Glöckner and L. G. Lucht, “Weighted inversion of general Dirichlet series,” Transactions of the American Mathematical Society, vol. 366, no. 6, pp. 3275–3293, 2014, doi: 10.1090/S0002-9947-2013-06018-7.
LibreCat | DOI
 
[62]
2013 | Book Chapter | LibreCat-ID: 64731
H. Glöckner, “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
H. Glöckner, “Differentiable mappings between spaces of sections.” 2013.
LibreCat | arXiv
 
[60]
2013 | Journal Article | LibreCat-ID: 64669
H. Glöckner, “Continuity of LF-algebra representations associated to representations of Lie groups,” Kyoto Journal of Mathematics, vol. 53, no. 3, pp. 567–595, 2013, doi: 10.1215/21562261-2265895.
LibreCat | DOI
 
[59]
2013 | Journal Article | LibreCat-ID: 64670
H. Glöckner, “Invariant manifolds for analytic dynamical systems over ultrametric fields,” Expositiones Mathematicae, vol. 31, no. 2, pp. 116–150, 2013, doi: 10.1016/j.exmath.2013.01.009.
LibreCat | DOI
 
[58]
2013 | Journal Article | LibreCat-ID: 64668
H. Glöckner, “Exponential laws for ultrametric partially differentiable functions and applications,” p-Adic Numbers, Ultrametric Analysis and Applications, vol. 5, no. 2, pp. 122–159, 2013, doi: 10.1134/S2070046613020039.
LibreCat | DOI
 
[57]
2012 | Preprint | LibreCat-ID: 64740
H. Glöckner, “Regularity properties of infinite-dimensional Lie groups, and semiregularity.” 2012.
LibreCat | arXiv
 
[56]
2012 | Journal Article | LibreCat-ID: 64672
H. Glöckner, “Upper bounds for continuous seminorms and special properties of bilinear maps,” Topology and its Applications, vol. 159, no. 13, pp. 2990–3001, 2012, doi: 10.1016/j.topol.2012.05.010.
LibreCat | DOI
 
[55]
2012 | Journal Article | LibreCat-ID: 64673
H. Glöckner and B. Langkamp, “Topological algebras of rapidly decreasing matrices and generalizations,” Topology and its Applications, vol. 159, no. 9, pp. 2420–2422, 2012, doi: 10.1016/j.topol.2011.09.048.
LibreCat | DOI
 
[54]
2012 | Journal Article | LibreCat-ID: 64674
H. Glöckner, “Continuity of bilinear maps on direct sums of topological vector spaces,” Journal of Functional Analysis, vol. 262, no. 5, pp. 2013–2030, 2012, doi: 10.1016/j.jfa.2011.12.018.
LibreCat | DOI
 
[53]
2012 | Journal Article | LibreCat-ID: 64671
H. Glöckner and K.-H. Neeb, “When unit groups of continuous inverse algebras are regular Lie groups,” Studia Mathematica, vol. 211, no. 2, pp. 95–109, 2012, doi: 10.4064/sm211-2-1.
LibreCat | DOI
 
[52]
2011 | Book Chapter | LibreCat-ID: 64675
H. Glöckner, “Direct limits of infinite-dimensional Lie groups,” in Developments and trends in infinite-dimensional Lie theory, Basel: Birkhäuser, 2011, pp. 243–280.
LibreCat | DOI
 
[51]
2010 | Journal Article | LibreCat-ID: 64680
H. Glöckner and G. A. Willis, “Classification of the simple factors appearing in composition series of totally disconnected contraction groups,” Journal für die reine und angewandte Mathematik, vol. 643, pp. 141–169, 2010, doi: 10.1515/CRELLE.2010.047.
LibreCat | DOI
 
[50]
2010 | Journal Article | LibreCat-ID: 64679
H. Glöckner, R. Gramlich, and T. Hartnick, “Final group topologies, Kac-Moody groups and Pontryagin duality,” Israel Journal of Mathematics, vol. 177, pp. 49–101, 2010, doi: 10.1007/s11856-010-0038-5.
LibreCat | DOI
 
[49]
2009 | Book Chapter | LibreCat-ID: 64682
H. Glöckner, “Applications of hypocontinuous bilinear maps in infinite-dimensional differential calculus,” in Generalized Lie theory in mathematics, physics and beyond, Berlin: Springer, 2009, pp. 171–186.
LibreCat | DOI
 
[48]
2008 | Preprint | LibreCat-ID: 64639
H. Glöckner, “Homotopy groups of ascending unions of infinite-dimensional manifolds.” 2008.
LibreCat | arXiv
 
[47]
2008 | Journal Article | LibreCat-ID: 64685
H. Glöckner, “Ultrametric and non-locally convex analogues of the general curve Lemma of convenient differential calculus,” Glasgow Mathematical Journal, vol. 50, no. 2, pp. 271–288, 2008, doi: 10.1017/S0017089508004199.
LibreCat | DOI
 
[46]
2008 | Journal Article | LibreCat-ID: 64684
H. Glöckner, “Solutions to open problems in Neeb’s recent survey on infinite-dimensional Lie groups,” Geometriae Dedicata, vol. 135, pp. 71–86, 2008, doi: 10.1007/s10711-008-9263-z.
LibreCat | DOI
 
[45]
2008 | Journal Article | LibreCat-ID: 64683
H. Glöckner, “Contractible Lie groups over local fields,” Mathematische Zeitschrift, vol. 260, no. 4, pp. 889–904, 2008, doi: 10.1007/s00209-008-0305-x.
LibreCat | DOI
 
[44]
2007 | Journal Article | LibreCat-ID: 64691
H. Glöckner, “Direct limit groups do not have small subgroups,” Topology and its Applications, vol. 154, no. 6, pp. 1126–1133, 2007, doi: https://doi.org/10.1016/j.topol.2006.11.003.
LibreCat | DOI
 
[43]
2007 | Journal Article | LibreCat-ID: 64692
H. Glöckner, L. G. Lucht, and Š. Porubský, “Solutions to arithmetic convolution equations,” Proceedings of the American Mathematical Society, vol. 135, no. 6, pp. 1619–1629, 2007, doi: 10.1090/S0002-9939-07-08738-2.
LibreCat | DOI
 
[42]
2007 | Journal Article | LibreCat-ID: 64690
H. Glöckner, “Direct limits of infinite-dimensional Lie groups compared to direct limits in related categories,” Journal of Functional Analysis, vol. 245, no. 1, pp. 19–61, 2007, doi: 10.1016/j.jfa.2006.12.018.
LibreCat | DOI
 
[41]
2007 | Journal Article | LibreCat-ID: 64687
H. Glöckner, “Instructive examples of smooth, complex differentiable and complex analytic mappings into locally convex spaces,” Journal of Mathematics of Kyoto University, vol. 47, no. 3, pp. 631–642, 2007, doi: 10.1215/kjm/1250281028.
LibreCat | DOI
 
[40]
2007 | Journal Article | LibreCat-ID: 64689
H. Glöckner, “Comparison of some notions of C^k-maps in multi-variable non-archimedian analysis,” Bulletin of the Belgian Mathematical Society - Simon Stevin, vol. 14, no. 5, pp. 877–904, 2007.
LibreCat
 
[39]
2007 | Journal Article | LibreCat-ID: 64686
H. Glöckner and G. A. Willis, “Directions of automorphisms of Lie groups over local fields compared to the directions of Lie algebra automorphisms,” Topology Proceedings, vol. 31, no. 2, pp. 481–501, 2007.
LibreCat
 
[38]
2007 | Journal Article | LibreCat-ID: 64688
H. Glöckner, “Simplified proofs for the pro-Lie group theorem and the one-parameter subgroup lifting lemma,” Journal of Lie Theory, vol. 17, no. 4, pp. 899–902, 2007.
LibreCat
 
[37]
2006 | Book Chapter | LibreCat-ID: 64693
H. Glöckner, “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, pp. 237–253.
LibreCat | DOI
 
[36]
2006 | Preprint | LibreCat-ID: 64742
H. Glöckner, “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
H. Glöckner, “Locally compact groups built up from p-adic Lie groups, for p in a given set of primes,” Journal of Group Theory, vol. 9, no. 4, pp. 427–454, 2006, doi: 10.1515/JGT.2006.028.
LibreCat | DOI
 
[34]
2006 | Journal Article | LibreCat-ID: 64697
H. Glöckner, “Discontinuous non-linear mappings on locally convex direct limits,” Publicationes Mathematicae Debrecen, vol. 68, no. 1–2, pp. 1–13, 2006, doi: 10.5486/pmd.2006.2714.
LibreCat | DOI
 
[33]
2006 | Journal Article | LibreCat-ID: 64698
H. Glöckner, “Every smooth p-adic Lie group admits a compatible analytic structure,” Forum Mathematicum, vol. 18, no. 1, pp. 45–84, 2006, doi: 10.1515/FORUM.2006.003.
LibreCat | DOI
 
[32]
2006 | Journal Article | LibreCat-ID: 64694
H. Glöckner, “Implicit functions from topological vector spaces to Banach spaces,” Israel Journal of Mathematics, vol. 155, pp. 205–252, 2006, doi: 10.1007/BF02773955.
LibreCat | DOI
 
[31]
2006 | Journal Article | LibreCat-ID: 64695
H. Glöckner, “Fundamental problems in the theory of infinite-dimensional Lie groups,” The Journal of Geometry and Symmetry in Physics, vol. 5, pp. 24–35, 2006.
LibreCat
 
[30]
2005 | Preprint | LibreCat-ID: 64741
H. Glöckner, “Finite order differentiability properties, fixed points and implicit functions over valued fields.” 2005.
LibreCat | arXiv
 
[29]
2005 | Journal Article | LibreCat-ID: 64700
H. Glöckner, “Hölder continuous homomorphisms between infinite-dimensional Lie groups are smooth,” Journal of Functional Analysis, vol. 228, no. 2, pp. 419–444, 2005, doi: 10.1016/j.jfa.2005.06.023.
LibreCat | DOI
 
[28]
2005 | Journal Article | LibreCat-ID: 64702
H. Glöckner, “Conveniently Hölder homomorphisms are smooth in the convenient sense,” Annals of Global Analysis and Geometry, vol. 27, no. 3, pp. 227–255, 2005, doi: 10.1007/s10455-005-0040-z.
LibreCat | DOI
 
[27]
2005 | Journal Article | LibreCat-ID: 64704
H. Glöckner, “Smooth Lie groups over local fields of positive characteristic need not be analytic,” Journal of Algebra, vol. 285, no. 1, pp. 356–371, 2005, doi: 10.1016/j.jalgebra.2004.11.018.
LibreCat | DOI
 
[26]
2005 | Journal Article | LibreCat-ID: 64701
H. Glöckner, “Contraction groups for tidy automorphisms of totally disconnected groups,” Glasgow Mathematical Journal, vol. 47, no. 2, pp. 329–333, 2005, doi: 10.1017/S0017089505002557.
LibreCat | DOI
 
[25]
2005 | Journal Article | LibreCat-ID: 64703
H. Glöckner, “Diff(R^n) as a Milnor-Lie group,” Mathematische Nachrichten, vol. 278, no. 9, pp. 1025–1032, 2005, doi: 10.1002/mana.200310288.
LibreCat | DOI
 
[24]
2005 | Journal Article | LibreCat-ID: 64699
H. Glöckner, “Fundamentals of direct limit Lie theory,” Compositio Mathematica, vol. 141, no. 6, pp. 1551–1577, 2005, doi: 10.1112/S0010437X05001491.
LibreCat | DOI
 
[23]
2004 | Book Chapter | LibreCat-ID: 64708
H. Glöckner, “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, pp. 1–16.
LibreCat
 
[22]
2004 | Preprint | LibreCat-ID: 64743
H. Glöckner, “Lie groups over non-discrete topological fields.” 2004.
LibreCat | arXiv
 
[21]
2004 | Journal Article | LibreCat-ID: 64707
W. Bertram, H. Glöckner, and K.-H. Neeb, “Differential calculus over general base fields and rings.,” Expositiones Mathematicae, vol. 22, no. 3, pp. 213–282, 2004, doi: 10.1016/S0723-0869(04)80006-9.
LibreCat | DOI
 
[20]
2004 | Journal Article | LibreCat-ID: 64705
H. Glöckner, “Tensor products in the category of topological vector spaces are not associative.,” Commentationes Mathematicae Universitatis Carolinae, vol. 45, no. 4, pp. 607–614, 2004.
LibreCat
 
[19]
2004 | Journal Article | LibreCat-ID: 64706
H. Glöckner, “Examples of differentiable mappings into non-locally convex spaces.,” Topology Proceedings, vol. 28, no. 2, pp. 479–486, 2004.
LibreCat
 
[18]
2003 | Book | LibreCat-ID: 64710
H. Glöckner, Positive definite functions on infinite-dimensional convex cones, vol. 789. Providence, RI: American Mathematical Society (AMS), 2003.
LibreCat | DOI
 
[17]
2003 | Journal Article | LibreCat-ID: 64712
H. Glöckner and K.-H. Neeb, “Banach-Lie quotients, enlargibility, and universal complexifications,” Journal für die reine und angewandte Mathematik, vol. 560, pp. 1–28, 2003, doi: 10.1515/crll.2003.056.
LibreCat | DOI
 
[16]
2003 | Journal Article | LibreCat-ID: 64711
H. Glöckner, “Lie groups of measurable mappings.,” Canadian Journal of Mathematics, vol. 55, no. 5, pp. 969–999, 2003, doi: 10.4153/CJM-2003-039-9.
LibreCat | DOI
 
[15]
2003 | Journal Article | LibreCat-ID: 64709
H. Glöckner, “Direct limit Lie groups and manifolds,” Journal of Mathematics of Kyoto University, vol. 43, no. 1, pp. 1–26, 2003, doi: 10.1215/kjm/1250283739.
LibreCat | DOI
 
[14]
2002 | Book Chapter | LibreCat-ID: 64716
H. Glöckner, “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, pp. 43–59.
LibreCat
 
[13]
2002 | Book Chapter | LibreCat-ID: 64715
H. Glöckner and J. 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, Lemgo: Heldermann Verlag, 2002, pp. 205–210.
LibreCat
 
[12]
2002 | Journal Article | LibreCat-ID: 64717
H. Glöckner, “Real and p-adic Lie algebra functors on the category of topological groups.,” Pacific Journal of Mathematics, vol. 203, no. 2, pp. 321–368, 2002, doi: 10.2140/pjm.2002.203.321.
LibreCat | DOI
 
[11]
2002 | Journal Article | LibreCat-ID: 64714
H. Glöckner, “Lie group structures on quotient groups and universal complexifications for infinite-dimensional Lie groups,” Journal of Functional Analysis, vol. 194, no. 2, pp. 347–409, 2002, doi: 10.1006/jfan.2002.3942.
LibreCat | DOI
 
[10]
2002 | Journal Article | LibreCat-ID: 64721
H. Glöckner, “Algebras whose groups of units are Lie groups,” Studia Mathematica, vol. 153, no. 2, pp. 147–177, 2002, doi: 10.4064/sm153-2-4.
LibreCat | DOI
 
[9]
2002 | Journal Article | LibreCat-ID: 64718
H. Glöckner, “Approximation by p-adic Lie groups,” Glasgow Mathematical Journal, vol. 44, no. 2, pp. 231–239, 2002, doi: 10.1017/S0017089502020049.
LibreCat | DOI
 
[8]
2002 | Journal Article | LibreCat-ID: 64713
H. Glöckner and G. A. Willis, “Topologization of Hecke pairs and Hecke C^*-algebras.,” Topology Proceedings, vol. 26, no. 2, pp. 565–591, 2002.
LibreCat
 
[7]
2001 | Book Chapter | LibreCat-ID: 64723
H. Glöckner and K.-H. 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, Lemgo: Heldermann Verlag, 2001, pp. 163–185.
LibreCat
 
[6]
2001 | Journal Article | LibreCat-ID: 64725
H. Glöckner and G. A. Willis, “Uniscalar p-adic Lie groups,” Forum Mathematicum, vol. 13, no. 3, pp. 413–421, 2001, doi: 10.1515/form.2001.015.
LibreCat | DOI
 
[5]
2001 | Journal Article | LibreCat-ID: 64724
H. Glöckner, “Functions operating on positive semidefinite quaternionic matrices,” Monatshefte für Mathematik, vol. 132, no. 4, pp. 303–324, 2001, doi: 10.1007/s006050170036.
LibreCat | DOI
 
[4]
2000 | Journal Article | LibreCat-ID: 64726
H. Glöckner, “Representations of cones and conelike semigroups,” Semigroup Forum, vol. 60, no. 2, pp. 326–333, 2000, doi: 10.1007/s002339910025.
LibreCat | DOI
 
[3]
1998 | Journal Article | LibreCat-ID: 64729
H. Glöckner, “Scale functions on linear groups over local skew fields,” Journal of Algebra, vol. 205, no. 2, pp. 525–541, 1998, doi: 10.1006/jabr.1997.7409.
LibreCat | DOI
 
[2]
1998 | Journal Article | LibreCat-ID: 64728
H. Glöckner, “Scale functions on p-adic Lie groups,” Manuscripta Mathematica, vol. 97, no. 2, pp. 205–215, 1998, doi: 10.1007/s002290050097.
LibreCat | DOI
 
[1]
1996 | Journal Article | LibreCat-ID: 64730
H. Glöckner, “Haar measure on linear groups over local skew fields,” Journal of Lie Theory, vol. 6, no. 2, pp. 165–177, 1996.
LibreCat
 
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101 Publications

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[101]
2026 | Preprint | LibreCat-ID: 64629
H. Glöckner and K.-H. Neeb, “Infinite-dimensional Lie groups.” 2026.
LibreCat | arXiv
 
[100]
2026 | Preprint | LibreCat-ID: 65036
T. Cohen, H. Glöckner, G. Goffer, and W. Lederle, “Compact invariant random subgroups.” 2026.
LibreCat | arXiv
 
[99]
2025 | Journal Article | LibreCat-ID: 63649
H. Glöckner, A. Schmeding, and A. Suri, “Manifolds of continuous BV-functions and vector measure regularity of Banach–Lie groups,” Geometric Mechanics, vol. 01, no. 04, pp. 383–437, 2025, doi: 10.1142/s2972458925500029.
LibreCat | DOI
 
[98]
2025 | Special Issue | LibreCat-ID: 64736
J. Frahm, H. Glöckner, J. Hilgert, and G. Olafsson, Eds., Special issue of Journal of Lie Theory dedicated to Karl-Hermann Neeb on the occasion of his 60th birthday, vol. 35, no. 4. 2025.
LibreCat
 
[97]
2025 | Journal Article | LibreCat-ID: 34807
H. Glöckner, “Lie groups of real analytic diffeomorphisms are L^1-regular,” Nonlinear Analysis, vol. 252, Art. no. 113690, 2025, doi: 10.1016/j.na.2024.113690.
LibreCat | DOI
 
[96]
2024 | Preprint | LibreCat-ID: 56116
H. Glöckner, E. Grong, and A. Schmeding, “Boundary values of diffeomorphisms of simple polytopes, and controllability.” 2024.
LibreCat | arXiv
 
[95]
2024 | Preprint | LibreCat-ID: 56583
H. Glöckner and A. Suri, “L^1-regularity of strong ILB-Lie groups.” 2024.
LibreCat | arXiv
 
[94]
2023 | Journal Article | LibreCat-ID: 34793
H. Glöckner and J. Hilgert, “Aspects of control theory on infinite-dimensional Lie groups and G-manifolds,” Journal of Differential Equations, vol. 343, pp. 186–232, 2023, doi: 10.1016/j.jde.2022.10.001.
LibreCat | DOI | arXiv
 
[93]
2023 | Journal Article | LibreCat-ID: 34803
E. Celledoni, H. Glöckner, J. Riseth, and A. Schmeding, “Deep neural networks on diffeomorphism groups for optimal shape reparametrization,” BIT Numerical Mathematics, vol. 63, Art. no. 50, 2023, doi: 10.1007/s10543-023-00989-05.
LibreCat | DOI | arXiv
 
[92]
2023 | Journal Article | LibreCat-ID: 34805
H. Glöckner, “Diffeomorphism groups of convex polytopes,” Journal of Convex Analysis, vol. 30, no. 1, pp. 343–358, 2023.
LibreCat | arXiv
 
[91]
2023 | Journal Article | LibreCat-ID: 34801
H. Glöckner and L. Tárrega, “Mapping groups associated with real-valued function spaces and direct limits of Sobolev-Lie groups ,” Journal of Lie Theory, vol. 33, no. 1, pp. 271–296, 2023.
LibreCat | arXiv
 
[90]
2022 | Journal Article | LibreCat-ID: 34792
H. Glöckner, “Non-Lie subgroups in Lie groups over local fields of positive characteristic,” p-Adic Numbers, Ultrametric Analysis, and Applications, vol. 14, no. 2, pp. 138–144, 2022, doi: 10.1134/S2070046622020042.
LibreCat | DOI
 
[89]
2022 | Journal Article | LibreCat-ID: 34791
H. Glöckner and A. Schmeding, “Manifolds of mappings on Cartesian products,” Annals of Global Analysis and Geometry, vol. 61, no. 2, pp. 359–398, 2022, doi: 10.1007/s10455-021-09816-y.
LibreCat | DOI
 
[88]
2022 | Journal Article | LibreCat-ID: 34796
H. Glöckner, “Aspects of differential calculus related to infinite-dimensional vector bundles and Poisson vector spaces,” Axioms, vol. 11, no. 5, 2022, doi: 10.3390/axioms11050221.
LibreCat | DOI
 
[87]
2022 | Preprint | LibreCat-ID: 34804
H. Glöckner, “Birkhoff decompositions for loop groups with coefficient algebras,” arXiv:2206.11711. 2022.
LibreCat | arXiv
 
[86]
2021 | Journal Article | LibreCat-ID: 34786
H. Glöckner and G. A. Willis, “Decompositions of locally compact contraction groups, series and extensions,” Journal of Algebra, vol. 570, pp. 164–214, 2021, doi: https://doi.org/10.1016/j.jalgebra.2020.11.007.
LibreCat | DOI
 
[85]
2021 | Journal Article | LibreCat-ID: 34795
H. Glöckner, “Direct limits of regular Lie groups,” Mathematische Nachrichten, vol. 294, no. 1, pp. 74–81, 2021, doi: 10.1002/mana.201900073.
LibreCat | DOI
 
[84]
2021 | Preprint | LibreCat-ID: 34806
H. Glöckner, “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
H. Glöckner and G. A. Willis, “Locally pro-p contraction groups are nilpotent,” Journal für die reine und angewandte Mathematik, vol. 781, pp. 85–103, 2021, doi: 10.1515/crelle-2021-0050.
LibreCat | DOI
 
[82]
2020 | Journal Article | LibreCat-ID: 34789
H. Amiri, H. Glöckner, and A. Schmeding, “Lie groupoids of mappings taking values in a Lie groupoid,” Archivum Mathematicum, vol. 56, no. 5, pp. 307–356, 2020, doi: 10.5817/AM2020-5-307.
LibreCat | DOI
 
[81]
2020 | Journal Article | LibreCat-ID: 34787
H. Glöckner and N. Masbough, “Products of regular locally compact spaces are k_R-spaces,” Topology Proceedings, vol. 55, pp. 35–38, 2020.
LibreCat
 
[80]
2020 | Preprint | LibreCat-ID: 34808
H. Glöckner, “Smoothing operators for vector-valued functions and extension operators,” arXiv:2006.00254. 2020.
LibreCat | arXiv
 
[79]
2019 | Journal Article | LibreCat-ID: 64630
H. Glöckner, “Completeness of infinite-dimensional Lie groups in their left uniformity,” Canadian Journal of Mathematics, vol. 71, no. 1, pp. 131–152, 2019, doi: 10.4153/CJM-2017-048-5.
LibreCat | DOI
 
[78]
2018 | Book Chapter | LibreCat-ID: 64633
H. Glöckner, “Lectures on Lie groups over local fields,” in New directions in locally compact groups, Cambridge: Cambridge University Press, 2018, pp. 37–72.
LibreCat | DOI
 
[77]
2018 | Book Chapter | LibreCat-ID: 64632
H. Glöckner, “Endomorphisms of Lie groups over local fields,” in 2016 MATRIX annals, Cham: Springer, 2018, pp. 101–165.
LibreCat | DOI
 
[76]
2018 | Journal Article | LibreCat-ID: 64631
T. P. Bywaters, H. Glöckner, and S. Tornier, “Contraction groups and passage to subgroups and quotients for endomorphisms of totally disconnected locally compact groups,” Israel Journal of Mathematics, vol. 227, no. 2, pp. 691–752, 2018, doi: 10.1007/s11856-018-1750-9.
LibreCat | DOI
 
[75]
2017 | Journal Article | LibreCat-ID: 64635
H. Glöckner and K.-H. Neeb, “Diffeomorphism groups of compact convex sets,” Indagationes Mathematicae, vol. 28, no. 4, pp. 760–783, 2017, doi: 10.1016/j.indag.2017.04.004.
LibreCat | DOI
 
[74]
2017 | Journal Article | LibreCat-ID: 64638
H. Glöckner and C. R. E. Raja, “Expansive automorphisms of totally disconnected, locally compact groups,” Journal of Group Theory, vol. 20, no. 3, pp. 589–619, 2017, doi: 10.1515/jgth-2016-0051.
LibreCat | DOI
 
[73]
2017 | Journal Article | LibreCat-ID: 64636
H. Glöckner, “Elementary p-adic Lie groups have finite construction rank,” Proceedings of the American Mathematical Society, vol. 145, no. 11, pp. 5007–5021, 2017, doi: 10.1090/proc/13637.
LibreCat | DOI
 
[72]
2017 | Journal Article | LibreCat-ID: 64634
H. Glöckner, “Completeness of locally k_ω-groups and related infinite-dimensional Lie groups,” Topology and its Applications, vol. 228, pp. 277–284, 2017, doi: 10.1016/j.topol.2017.05.007.
LibreCat | DOI
 
[71]
2016 | Book Chapter | LibreCat-ID: 64640
H. Glöckner, “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, pp. 73–90.
LibreCat | DOI
 
[70]
2016 | Book (Editor) | LibreCat-ID: 64643
H. Glöckner, A. Escassut, and K. 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.
LibreCat | DOI
 
[69]
2016 | Journal Article | LibreCat-ID: 64641
H. Glöckner, “The kernel of the adjoint representation of a p-adic Lie group need not have an abelian open normal subgroup,” Communications in Algebra, vol. 44, no. 7, pp. 2981–2988, 2016, doi: 10.1080/00927872.2015.1065859.
LibreCat | DOI
 
[68]
2015 | Preprint | LibreCat-ID: 64738
H. Glöckner, “Fundamentals of submersions and immersions between infinite-dimensional manifolds.” 2015.
LibreCat | arXiv
 
[67]
2015 | Preprint | LibreCat-ID: 64737
H. Glöckner, “Measurable regularity properties of infinite-dimensional Lie groups.” 2015.
LibreCat | arXiv
 
[66]
2015 | Journal Article | LibreCat-ID: 64665
R. Dahmen and H. Glöckner, “Bounded solutions of finite lifetime to differential equations in Banach spaces,” Acta Scientiarum Mathematicarum, vol. 81, no. 3–4, pp. 457–468, 2015, doi: 10.14232/actasm-014-271-7.
LibreCat | DOI
 
[65]
2014 | Preprint | LibreCat-ID: 64739
R. Dahmen, H. Glöckner, and A. Schmeding, “Complexifications of infinite-dimensional manifolds and new constructions of infinite-dimensional Lie groups.” 2014.
LibreCat | arXiv
 
[64]
2014 | Journal Article | LibreCat-ID: 64667
L. Birth and H. Glöckner, “Continuity of convolution of test functions on Lie groups,” Canadian Journal of Mathematics, vol. 66, no. 1, pp. 102–140, 2014, doi: 10.4153/CJM-2012-035-6.
LibreCat | DOI
 
[63]
2014 | Journal Article | LibreCat-ID: 64666
H. Glöckner and L. G. Lucht, “Weighted inversion of general Dirichlet series,” Transactions of the American Mathematical Society, vol. 366, no. 6, pp. 3275–3293, 2014, doi: 10.1090/S0002-9947-2013-06018-7.
LibreCat | DOI
 
[62]
2013 | Book Chapter | LibreCat-ID: 64731
H. Glöckner, “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
H. Glöckner, “Differentiable mappings between spaces of sections.” 2013.
LibreCat | arXiv
 
[60]
2013 | Journal Article | LibreCat-ID: 64669
H. Glöckner, “Continuity of LF-algebra representations associated to representations of Lie groups,” Kyoto Journal of Mathematics, vol. 53, no. 3, pp. 567–595, 2013, doi: 10.1215/21562261-2265895.
LibreCat | DOI
 
[59]
2013 | Journal Article | LibreCat-ID: 64670
H. Glöckner, “Invariant manifolds for analytic dynamical systems over ultrametric fields,” Expositiones Mathematicae, vol. 31, no. 2, pp. 116–150, 2013, doi: 10.1016/j.exmath.2013.01.009.
LibreCat | DOI
 
[58]
2013 | Journal Article | LibreCat-ID: 64668
H. Glöckner, “Exponential laws for ultrametric partially differentiable functions and applications,” p-Adic Numbers, Ultrametric Analysis and Applications, vol. 5, no. 2, pp. 122–159, 2013, doi: 10.1134/S2070046613020039.
LibreCat | DOI
 
[57]
2012 | Preprint | LibreCat-ID: 64740
H. Glöckner, “Regularity properties of infinite-dimensional Lie groups, and semiregularity.” 2012.
LibreCat | arXiv
 
[56]
2012 | Journal Article | LibreCat-ID: 64672
H. Glöckner, “Upper bounds for continuous seminorms and special properties of bilinear maps,” Topology and its Applications, vol. 159, no. 13, pp. 2990–3001, 2012, doi: 10.1016/j.topol.2012.05.010.
LibreCat | DOI
 
[55]
2012 | Journal Article | LibreCat-ID: 64673
H. Glöckner and B. Langkamp, “Topological algebras of rapidly decreasing matrices and generalizations,” Topology and its Applications, vol. 159, no. 9, pp. 2420–2422, 2012, doi: 10.1016/j.topol.2011.09.048.
LibreCat | DOI
 
[54]
2012 | Journal Article | LibreCat-ID: 64674
H. Glöckner, “Continuity of bilinear maps on direct sums of topological vector spaces,” Journal of Functional Analysis, vol. 262, no. 5, pp. 2013–2030, 2012, doi: 10.1016/j.jfa.2011.12.018.
LibreCat | DOI
 
[53]
2012 | Journal Article | LibreCat-ID: 64671
H. Glöckner and K.-H. Neeb, “When unit groups of continuous inverse algebras are regular Lie groups,” Studia Mathematica, vol. 211, no. 2, pp. 95–109, 2012, doi: 10.4064/sm211-2-1.
LibreCat | DOI
 
[52]
2011 | Book Chapter | LibreCat-ID: 64675
H. Glöckner, “Direct limits of infinite-dimensional Lie groups,” in Developments and trends in infinite-dimensional Lie theory, Basel: Birkhäuser, 2011, pp. 243–280.
LibreCat | DOI
 
[51]
2010 | Journal Article | LibreCat-ID: 64680
H. Glöckner and G. A. Willis, “Classification of the simple factors appearing in composition series of totally disconnected contraction groups,” Journal für die reine und angewandte Mathematik, vol. 643, pp. 141–169, 2010, doi: 10.1515/CRELLE.2010.047.
LibreCat | DOI
 
[50]
2010 | Journal Article | LibreCat-ID: 64679
H. Glöckner, R. Gramlich, and T. Hartnick, “Final group topologies, Kac-Moody groups and Pontryagin duality,” Israel Journal of Mathematics, vol. 177, pp. 49–101, 2010, doi: 10.1007/s11856-010-0038-5.
LibreCat | DOI
 
[49]
2009 | Book Chapter | LibreCat-ID: 64682
H. Glöckner, “Applications of hypocontinuous bilinear maps in infinite-dimensional differential calculus,” in Generalized Lie theory in mathematics, physics and beyond, Berlin: Springer, 2009, pp. 171–186.
LibreCat | DOI
 
[48]
2008 | Preprint | LibreCat-ID: 64639
H. Glöckner, “Homotopy groups of ascending unions of infinite-dimensional manifolds.” 2008.
LibreCat | arXiv
 
[47]
2008 | Journal Article | LibreCat-ID: 64685
H. Glöckner, “Ultrametric and non-locally convex analogues of the general curve Lemma of convenient differential calculus,” Glasgow Mathematical Journal, vol. 50, no. 2, pp. 271–288, 2008, doi: 10.1017/S0017089508004199.
LibreCat | DOI
 
[46]
2008 | Journal Article | LibreCat-ID: 64684
H. Glöckner, “Solutions to open problems in Neeb’s recent survey on infinite-dimensional Lie groups,” Geometriae Dedicata, vol. 135, pp. 71–86, 2008, doi: 10.1007/s10711-008-9263-z.
LibreCat | DOI
 
[45]
2008 | Journal Article | LibreCat-ID: 64683
H. Glöckner, “Contractible Lie groups over local fields,” Mathematische Zeitschrift, vol. 260, no. 4, pp. 889–904, 2008, doi: 10.1007/s00209-008-0305-x.
LibreCat | DOI
 
[44]
2007 | Journal Article | LibreCat-ID: 64691
H. Glöckner, “Direct limit groups do not have small subgroups,” Topology and its Applications, vol. 154, no. 6, pp. 1126–1133, 2007, doi: https://doi.org/10.1016/j.topol.2006.11.003.
LibreCat | DOI
 
[43]
2007 | Journal Article | LibreCat-ID: 64692
H. Glöckner, L. G. Lucht, and Š. Porubský, “Solutions to arithmetic convolution equations,” Proceedings of the American Mathematical Society, vol. 135, no. 6, pp. 1619–1629, 2007, doi: 10.1090/S0002-9939-07-08738-2.
LibreCat | DOI
 
[42]
2007 | Journal Article | LibreCat-ID: 64690
H. Glöckner, “Direct limits of infinite-dimensional Lie groups compared to direct limits in related categories,” Journal of Functional Analysis, vol. 245, no. 1, pp. 19–61, 2007, doi: 10.1016/j.jfa.2006.12.018.
LibreCat | DOI
 
[41]
2007 | Journal Article | LibreCat-ID: 64687
H. Glöckner, “Instructive examples of smooth, complex differentiable and complex analytic mappings into locally convex spaces,” Journal of Mathematics of Kyoto University, vol. 47, no. 3, pp. 631–642, 2007, doi: 10.1215/kjm/1250281028.
LibreCat | DOI
 
[40]
2007 | Journal Article | LibreCat-ID: 64689
H. Glöckner, “Comparison of some notions of C^k-maps in multi-variable non-archimedian analysis,” Bulletin of the Belgian Mathematical Society - Simon Stevin, vol. 14, no. 5, pp. 877–904, 2007.
LibreCat
 
[39]
2007 | Journal Article | LibreCat-ID: 64686
H. Glöckner and G. A. Willis, “Directions of automorphisms of Lie groups over local fields compared to the directions of Lie algebra automorphisms,” Topology Proceedings, vol. 31, no. 2, pp. 481–501, 2007.
LibreCat
 
[38]
2007 | Journal Article | LibreCat-ID: 64688
H. Glöckner, “Simplified proofs for the pro-Lie group theorem and the one-parameter subgroup lifting lemma,” Journal of Lie Theory, vol. 17, no. 4, pp. 899–902, 2007.
LibreCat
 
[37]
2006 | Book Chapter | LibreCat-ID: 64693
H. Glöckner, “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, pp. 237–253.
LibreCat | DOI
 
[36]
2006 | Preprint | LibreCat-ID: 64742
H. Glöckner, “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
H. Glöckner, “Locally compact groups built up from p-adic Lie groups, for p in a given set of primes,” Journal of Group Theory, vol. 9, no. 4, pp. 427–454, 2006, doi: 10.1515/JGT.2006.028.
LibreCat | DOI
 
[34]
2006 | Journal Article | LibreCat-ID: 64697
H. Glöckner, “Discontinuous non-linear mappings on locally convex direct limits,” Publicationes Mathematicae Debrecen, vol. 68, no. 1–2, pp. 1–13, 2006, doi: 10.5486/pmd.2006.2714.
LibreCat | DOI
 
[33]
2006 | Journal Article | LibreCat-ID: 64698
H. Glöckner, “Every smooth p-adic Lie group admits a compatible analytic structure,” Forum Mathematicum, vol. 18, no. 1, pp. 45–84, 2006, doi: 10.1515/FORUM.2006.003.
LibreCat | DOI
 
[32]
2006 | Journal Article | LibreCat-ID: 64694
H. Glöckner, “Implicit functions from topological vector spaces to Banach spaces,” Israel Journal of Mathematics, vol. 155, pp. 205–252, 2006, doi: 10.1007/BF02773955.
LibreCat | DOI
 
[31]
2006 | Journal Article | LibreCat-ID: 64695
H. Glöckner, “Fundamental problems in the theory of infinite-dimensional Lie groups,” The Journal of Geometry and Symmetry in Physics, vol. 5, pp. 24–35, 2006.
LibreCat
 
[30]
2005 | Preprint | LibreCat-ID: 64741
H. Glöckner, “Finite order differentiability properties, fixed points and implicit functions over valued fields.” 2005.
LibreCat | arXiv
 
[29]
2005 | Journal Article | LibreCat-ID: 64700
H. Glöckner, “Hölder continuous homomorphisms between infinite-dimensional Lie groups are smooth,” Journal of Functional Analysis, vol. 228, no. 2, pp. 419–444, 2005, doi: 10.1016/j.jfa.2005.06.023.
LibreCat | DOI
 
[28]
2005 | Journal Article | LibreCat-ID: 64702
H. Glöckner, “Conveniently Hölder homomorphisms are smooth in the convenient sense,” Annals of Global Analysis and Geometry, vol. 27, no. 3, pp. 227–255, 2005, doi: 10.1007/s10455-005-0040-z.
LibreCat | DOI
 
[27]
2005 | Journal Article | LibreCat-ID: 64704
H. Glöckner, “Smooth Lie groups over local fields of positive characteristic need not be analytic,” Journal of Algebra, vol. 285, no. 1, pp. 356–371, 2005, doi: 10.1016/j.jalgebra.2004.11.018.
LibreCat | DOI
 
[26]
2005 | Journal Article | LibreCat-ID: 64701
H. Glöckner, “Contraction groups for tidy automorphisms of totally disconnected groups,” Glasgow Mathematical Journal, vol. 47, no. 2, pp. 329–333, 2005, doi: 10.1017/S0017089505002557.
LibreCat | DOI
 
[25]
2005 | Journal Article | LibreCat-ID: 64703
H. Glöckner, “Diff(R^n) as a Milnor-Lie group,” Mathematische Nachrichten, vol. 278, no. 9, pp. 1025–1032, 2005, doi: 10.1002/mana.200310288.
LibreCat | DOI
 
[24]
2005 | Journal Article | LibreCat-ID: 64699
H. Glöckner, “Fundamentals of direct limit Lie theory,” Compositio Mathematica, vol. 141, no. 6, pp. 1551–1577, 2005, doi: 10.1112/S0010437X05001491.
LibreCat | DOI
 
[23]
2004 | Book Chapter | LibreCat-ID: 64708
H. Glöckner, “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, pp. 1–16.
LibreCat
 
[22]
2004 | Preprint | LibreCat-ID: 64743
H. Glöckner, “Lie groups over non-discrete topological fields.” 2004.
LibreCat | arXiv
 
[21]
2004 | Journal Article | LibreCat-ID: 64707
W. Bertram, H. Glöckner, and K.-H. Neeb, “Differential calculus over general base fields and rings.,” Expositiones Mathematicae, vol. 22, no. 3, pp. 213–282, 2004, doi: 10.1016/S0723-0869(04)80006-9.
LibreCat | DOI
 
[20]
2004 | Journal Article | LibreCat-ID: 64705
H. Glöckner, “Tensor products in the category of topological vector spaces are not associative.,” Commentationes Mathematicae Universitatis Carolinae, vol. 45, no. 4, pp. 607–614, 2004.
LibreCat
 
[19]
2004 | Journal Article | LibreCat-ID: 64706
H. Glöckner, “Examples of differentiable mappings into non-locally convex spaces.,” Topology Proceedings, vol. 28, no. 2, pp. 479–486, 2004.
LibreCat
 
[18]
2003 | Book | LibreCat-ID: 64710
H. Glöckner, Positive definite functions on infinite-dimensional convex cones, vol. 789. Providence, RI: American Mathematical Society (AMS), 2003.
LibreCat | DOI
 
[17]
2003 | Journal Article | LibreCat-ID: 64712
H. Glöckner and K.-H. Neeb, “Banach-Lie quotients, enlargibility, and universal complexifications,” Journal für die reine und angewandte Mathematik, vol. 560, pp. 1–28, 2003, doi: 10.1515/crll.2003.056.
LibreCat | DOI
 
[16]
2003 | Journal Article | LibreCat-ID: 64711
H. Glöckner, “Lie groups of measurable mappings.,” Canadian Journal of Mathematics, vol. 55, no. 5, pp. 969–999, 2003, doi: 10.4153/CJM-2003-039-9.
LibreCat | DOI
 
[15]
2003 | Journal Article | LibreCat-ID: 64709
H. Glöckner, “Direct limit Lie groups and manifolds,” Journal of Mathematics of Kyoto University, vol. 43, no. 1, pp. 1–26, 2003, doi: 10.1215/kjm/1250283739.
LibreCat | DOI
 
[14]
2002 | Book Chapter | LibreCat-ID: 64716
H. Glöckner, “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, pp. 43–59.
LibreCat
 
[13]
2002 | Book Chapter | LibreCat-ID: 64715
H. Glöckner and J. 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, Lemgo: Heldermann Verlag, 2002, pp. 205–210.
LibreCat
 
[12]
2002 | Journal Article | LibreCat-ID: 64717
H. Glöckner, “Real and p-adic Lie algebra functors on the category of topological groups.,” Pacific Journal of Mathematics, vol. 203, no. 2, pp. 321–368, 2002, doi: 10.2140/pjm.2002.203.321.
LibreCat | DOI
 
[11]
2002 | Journal Article | LibreCat-ID: 64714
H. Glöckner, “Lie group structures on quotient groups and universal complexifications for infinite-dimensional Lie groups,” Journal of Functional Analysis, vol. 194, no. 2, pp. 347–409, 2002, doi: 10.1006/jfan.2002.3942.
LibreCat | DOI
 
[10]
2002 | Journal Article | LibreCat-ID: 64721
H. Glöckner, “Algebras whose groups of units are Lie groups,” Studia Mathematica, vol. 153, no. 2, pp. 147–177, 2002, doi: 10.4064/sm153-2-4.
LibreCat | DOI
 
[9]
2002 | Journal Article | LibreCat-ID: 64718
H. Glöckner, “Approximation by p-adic Lie groups,” Glasgow Mathematical Journal, vol. 44, no. 2, pp. 231–239, 2002, doi: 10.1017/S0017089502020049.
LibreCat | DOI
 
[8]
2002 | Journal Article | LibreCat-ID: 64713
H. Glöckner and G. A. Willis, “Topologization of Hecke pairs and Hecke C^*-algebras.,” Topology Proceedings, vol. 26, no. 2, pp. 565–591, 2002.
LibreCat
 
[7]
2001 | Book Chapter | LibreCat-ID: 64723
H. Glöckner and K.-H. 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, Lemgo: Heldermann Verlag, 2001, pp. 163–185.
LibreCat
 
[6]
2001 | Journal Article | LibreCat-ID: 64725
H. Glöckner and G. A. Willis, “Uniscalar p-adic Lie groups,” Forum Mathematicum, vol. 13, no. 3, pp. 413–421, 2001, doi: 10.1515/form.2001.015.
LibreCat | DOI
 
[5]
2001 | Journal Article | LibreCat-ID: 64724
H. Glöckner, “Functions operating on positive semidefinite quaternionic matrices,” Monatshefte für Mathematik, vol. 132, no. 4, pp. 303–324, 2001, doi: 10.1007/s006050170036.
LibreCat | DOI
 
[4]
2000 | Journal Article | LibreCat-ID: 64726
H. Glöckner, “Representations of cones and conelike semigroups,” Semigroup Forum, vol. 60, no. 2, pp. 326–333, 2000, doi: 10.1007/s002339910025.
LibreCat | DOI
 
[3]
1998 | Journal Article | LibreCat-ID: 64729
H. Glöckner, “Scale functions on linear groups over local skew fields,” Journal of Algebra, vol. 205, no. 2, pp. 525–541, 1998, doi: 10.1006/jabr.1997.7409.
LibreCat | DOI
 
[2]
1998 | Journal Article | LibreCat-ID: 64728
H. Glöckner, “Scale functions on p-adic Lie groups,” Manuscripta Mathematica, vol. 97, no. 2, pp. 205–215, 1998, doi: 10.1007/s002290050097.
LibreCat | DOI
 
[1]
1996 | Journal Article | LibreCat-ID: 64730
H. Glöckner, “Haar measure on linear groups over local skew fields,” Journal of Lie Theory, vol. 6, no. 2, pp. 165–177, 1996.
LibreCat
 
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