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100 Publications


2013 | Journal Article | LibreCat-ID: 64669
Glöckner, Helge. “Continuity of LF-Algebra Representations Associated to Representations of Lie Groups.” Kyoto Journal of Mathematics 53, no. 3 (2013): 567–595. https://doi.org/10.1215/21562261-2265895.
LibreCat | DOI
 

2013 | Journal Article | LibreCat-ID: 64670
Glöckner, Helge. “Invariant Manifolds for Analytic Dynamical Systems over Ultrametric Fields.” Expositiones Mathematicae 31, no. 2 (2013): 116–150. https://doi.org/10.1016/j.exmath.2013.01.009.
LibreCat | DOI
 

2013 | Journal Article | LibreCat-ID: 64668
Glöckner, Helge. “Exponential Laws for Ultrametric Partially Differentiable Functions and Applications.” P-Adic Numbers, Ultrametric Analysis and Applications 5, no. 2 (2013): 122–159. https://doi.org/10.1134/S2070046613020039.
LibreCat | DOI
 

2012 | Preprint | LibreCat-ID: 64740
Glöckner, Helge. “Regularity Properties of Infinite-Dimensional Lie Groups, and Semiregularity,” 2012.
LibreCat | arXiv
 

2012 | Journal Article | LibreCat-ID: 64672
Glöckner, Helge. “Upper Bounds for Continuous Seminorms and Special Properties of Bilinear Maps.” Topology and Its Applications 159, no. 13 (2012): 2990–3001. https://doi.org/10.1016/j.topol.2012.05.010.
LibreCat | DOI
 

2012 | Journal Article | LibreCat-ID: 64673
Glöckner, Helge, and Bastian Langkamp. “Topological Algebras of Rapidly Decreasing Matrices and Generalizations.” Topology and Its Applications 159, no. 9 (2012): 2420–2422. https://doi.org/10.1016/j.topol.2011.09.048.
LibreCat | DOI
 

2012 | Journal Article | LibreCat-ID: 64674
Glöckner, Helge. “Continuity of Bilinear Maps on Direct Sums of Topological Vector Spaces.” Journal of Functional Analysis 262, no. 5 (2012): 2013–2030. https://doi.org/10.1016/j.jfa.2011.12.018.
LibreCat | DOI
 

2012 | Journal Article | LibreCat-ID: 64671
Glöckner, Helge, and Karl-Hermann Neeb. “When Unit Groups of Continuous Inverse Algebras Are Regular Lie Groups.” Studia Mathematica 211, no. 2 (2012): 95–109. https://doi.org/10.4064/sm211-2-1.
LibreCat | DOI
 

2011 | Book Chapter | LibreCat-ID: 64675
Glöckner, Helge. “Direct Limits of Infinite-Dimensional Lie Groups.” In Developments and Trends in Infinite-Dimensional Lie Theory, 243–280. Basel: Birkhäuser, 2011. https://doi.org/10.1007/978-0-8176-4741-4_8.
LibreCat | DOI
 

2010 | Journal Article | LibreCat-ID: 64680
Glöckner, Helge, and George A. Willis. “Classification of the Simple Factors Appearing in Composition Series of Totally Disconnected Contraction Groups.” Journal Für Die Reine Und Angewandte Mathematik 643 (2010): 141–169. https://doi.org/10.1515/CRELLE.2010.047.
LibreCat | DOI
 

2010 | Journal Article | LibreCat-ID: 64679
Glöckner, Helge, Ralf Gramlich, and Tobias Hartnick. “Final Group Topologies, Kac-Moody Groups and Pontryagin Duality.” Israel Journal of Mathematics 177 (2010): 49–101. https://doi.org/10.1007/s11856-010-0038-5.
LibreCat | DOI
 

2009 | Book Chapter | LibreCat-ID: 64682
Glöckner, Helge. “Applications of Hypocontinuous Bilinear Maps in Infinite-Dimensional Differential Calculus.” In Generalized Lie Theory in Mathematics, Physics and Beyond, 171–186. Berlin: Springer, 2009. https://doi.org/10.1007/978-3-540-85332-9_16.
LibreCat | DOI
 

2008 | Preprint | LibreCat-ID: 64639
Glöckner, Helge. “Homotopy Groups of Ascending Unions of Infinite-Dimensional Manifolds,” 2008.
LibreCat | arXiv
 

2008 | Journal Article | LibreCat-ID: 64685
Glöckner, Helge. “Ultrametric and Non-Locally Convex Analogues of the General Curve Lemma of Convenient Differential Calculus.” Glasgow Mathematical Journal 50, no. 2 (2008): 271–288. https://doi.org/10.1017/S0017089508004199.
LibreCat | DOI
 

2008 | Journal Article | LibreCat-ID: 64684
Glöckner, Helge. “Solutions to Open Problems in Neeb’s Recent Survey on Infinite-Dimensional Lie Groups.” Geometriae Dedicata 135 (2008): 71–86. https://doi.org/10.1007/s10711-008-9263-z.
LibreCat | DOI
 

2008 | Journal Article | LibreCat-ID: 64683
Glöckner, Helge. “Contractible Lie Groups over Local Fields.” Mathematische Zeitschrift 260, no. 4 (2008): 889–904. https://doi.org/10.1007/s00209-008-0305-x.
LibreCat | DOI
 

2007 | Journal Article | LibreCat-ID: 64691
Glöckner, Helge. “Direct Limit Groups Do Not Have Small Subgroups.” Topology and Its Applications 154, no. 6 (2007): 1126–33. https://doi.org/10.1016/j.topol.2006.11.003.
LibreCat | DOI
 

2007 | Journal Article | LibreCat-ID: 64692
Glöckner, Helge, Lutz G. Lucht, and Štefan Porubský. “Solutions to Arithmetic Convolution Equations.” Proceedings of the American Mathematical Society 135, no. 6 (2007): 1619–1629. https://doi.org/10.1090/S0002-9939-07-08738-2.
LibreCat | DOI
 

2007 | Journal Article | LibreCat-ID: 64690
Glöckner, Helge. “Direct Limits of Infinite-Dimensional Lie Groups Compared to Direct Limits in Related Categories.” Journal of Functional Analysis 245, no. 1 (2007): 19–61. https://doi.org/10.1016/j.jfa.2006.12.018.
LibreCat | DOI
 

2007 | Journal Article | LibreCat-ID: 64687
Glöckner, Helge. “Instructive Examples of Smooth, Complex Differentiable and Complex Analytic Mappings into Locally Convex Spaces.” Journal of Mathematics of Kyoto University 47, no. 3 (2007): 631–642. https://doi.org/10.1215/kjm/1250281028.
LibreCat | DOI
 

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