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152 Publications


2010 | Journal Article | LibreCat-ID: 64679
Glöckner, Helge, et al. “Final Group Topologies, Kac-Moody Groups and Pontryagin Duality.” Israel Journal of Mathematics, vol. 177, 2010, pp. 49–101, doi: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.” Generalized Lie Theory in Mathematics, Physics and Beyond, Berlin: Springer, 2009, pp. 171–186, doi:10.1007/978-3-540-85332-9_16.
LibreCat | DOI
 

2009 | Preprint | LibreCat-ID: 64747
Dahmen, Rafael. Lie Groups Associated to Hölder-Continuous Functions. 2009.
LibreCat | arXiv
 

2009 | Journal Article | LibreCat-ID: 64681
Glöckner, Helge, et al. “General Dirichlet Series, Arithmetic Convolution Equations and Laplace Transforms.” Studia Mathematica, vol. 193, no. 2, 2009, pp. 109–129, doi:10.4064/sm193-2-2.
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, vol. 50, no. 2, 2008, pp. 271–288, doi: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, vol. 135, 2008, pp. 71–86, doi:10.1007/s10711-008-9263-z.
LibreCat | DOI
 

2008 | Journal Article | LibreCat-ID: 64683
Glöckner, Helge. “Contractible Lie Groups over Local Fields.” Mathematische Zeitschrift, vol. 260, no. 4, 2008, pp. 889–904, doi: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, vol. 154, no. 6, 2007, pp. 1126–33, doi:https://doi.org/10.1016/j.topol.2006.11.003.
LibreCat | DOI
 

2007 | Journal Article | LibreCat-ID: 64692
Glöckner, Helge, et al. “Solutions to Arithmetic Convolution Equations.” Proceedings of the American Mathematical Society, vol. 135, no. 6, 2007, pp. 1619–1629, doi: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, vol. 245, no. 1, 2007, pp. 19–61, doi: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, vol. 47, no. 3, 2007, pp. 631–642, doi:10.1215/kjm/1250281028.
LibreCat | DOI
 

2007 | Journal Article | LibreCat-ID: 64689
Glöckner, Helge. “Comparison of Some Notions of C^k-Maps in Multi-Variable Non-Archimedian Analysis.” Bulletin of the Belgian Mathematical Society - Simon Stevin, vol. 14, no. 5, 2007, pp. 877–904.
LibreCat
 

2007 | Journal Article | LibreCat-ID: 64686
Glöckner, Helge, and George A. Willis. “Directions of Automorphisms of Lie Groups over Local Fields Compared to the Directions of Lie Algebra Automorphisms.” Topology Proceedings, vol. 31, no. 2, 2007, pp. 481–501.
LibreCat
 

2007 | Journal Article | LibreCat-ID: 64688
Glöckner, Helge. “Simplified Proofs for the Pro-Lie Group Theorem and the One-Parameter Subgroup Lifting Lemma.” Journal of Lie Theory, vol. 17, no. 4, 2007, pp. 899–902.
LibreCat
 

2006 | Book Chapter | LibreCat-ID: 64693
Glöckner, Helge. “Aspects of P-Adic Nonlinear Functional Analysis.” 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, doi:10.1063/1.2193126.
LibreCat | DOI
 

2006 | Preprint | LibreCat-ID: 64742
Glöckner, Helge. Implicit Functions from Topological Vector Spaces to Fréchet Spaces in the Presence of Metric Estimates. 2006.
LibreCat | arXiv
 

2006 | Journal Article | LibreCat-ID: 64696
Glöckner, Helge. “Locally Compact Groups Built up from P-Adic Lie Groups, for p in a given Set of Primes.” Journal of Group Theory, vol. 9, no. 4, 2006, pp. 427–454, doi:10.1515/JGT.2006.028.
LibreCat | DOI
 

2006 | Journal Article | LibreCat-ID: 64697
Glöckner, Helge. “Discontinuous Non-Linear Mappings on Locally Convex Direct Limits.” Publicationes Mathematicae Debrecen, vol. 68, no. 1–2, 2006, pp. 1–13, doi:10.5486/pmd.2006.2714.
LibreCat | DOI
 

2006 | Journal Article | LibreCat-ID: 64698
Glöckner, Helge. “Every Smooth P-Adic Lie Group Admits a Compatible Analytic Structure.” Forum Mathematicum, vol. 18, no. 1, 2006, pp. 45–84, doi:10.1515/FORUM.2006.003.
LibreCat | DOI
 

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