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100 Publications


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
 

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
 

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
 

2012 | Preprint | LibreCat-ID: 64740
H. Glöckner, “Regularity properties of infinite-dimensional Lie groups, and semiregularity.” 2012.
LibreCat | arXiv
 

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
 

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
 

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
 

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
 

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
 

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
 

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
 

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
 

2008 | Preprint | LibreCat-ID: 64639
H. Glöckner, “Homotopy groups of ascending unions of infinite-dimensional manifolds.” 2008.
LibreCat | arXiv
 

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
 

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
 

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
 

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
 

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
 

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
 

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
 

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