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143 Publications


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.” Topol. Proc., vol. 31, no. 2, 2007, pp. 481–501.
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2007 | Journal Article | LibreCat-ID: 64688
Glöckner, Helge. “Simplified Proofs for the Pro-Lie Group Theorem and the One-Parameter Subgroup Lifting Lemma.” J. Lie Theory, vol. 17, no. 4, 2007, pp. 899–902.
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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: 64690
Glöckner, Helge. “Direct Limits of Infinite-Dimensional Lie Groups Compared to Direct Limits in Related Categories.” J. Funct. Anal., vol. 245, no. 1, 2007, pp. 19–61, doi:10.1016/j.jfa.2006.12.018.
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2007 | Journal Article | LibreCat-ID: 64692
Glöckner, Helge, et al. “Solutions to Arithmetic Convolution Equations.” Proc. Am. Math. Soc., vol. 135, no. 6, 2007, pp. 1619–1629, doi:10.1090/S0002-9939-07-08738-2.
LibreCat | DOI
 

2007 | Journal Article | LibreCat-ID: 64689
Glöckner, Helge. “Comparison of Some Notions of C^k-Maps in Multi-Variable Non-Archimedian Analysis.” Bull. Belg. Math. Soc. - Simon Stevin, vol. 14, no. 5, 2007, pp. 877–904.
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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 | 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.” J. Group Theory, vol. 9, no. 4, 2006, pp. 427–454, doi:10.1515/JGT.2006.028.
LibreCat | DOI
 

2006 | Journal Article | LibreCat-ID: 64694
Glöckner, Helge. “Implicit Functions from Topological Vector Spaces to Banach Spaces.” Isr. J. Math., vol. 155, 2006, pp. 205–252, doi:10.1007/BF02773955.
LibreCat | DOI
 

2006 | Journal Article | LibreCat-ID: 64695
Glöckner, Helge. “Fundamental Problems in the Theory of Infinite-Dimensional Lie Groups.” J. Geom. Symmetry Phys., vol. 5, 2006, pp. 24–35.
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2006 | Journal Article | LibreCat-ID: 64697
Glöckner, Helge. “Discontinuous Non-Linear Mappings on Locally Convex Direct Limits.” Publ. Math. Debr., 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 Math., vol. 18, no. 1, 2006, pp. 45–84, doi:10.1515/FORUM.2006.003.
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
 

2005 | Journal Article | LibreCat-ID: 64700
Glöckner, Helge. “Hölder Continuous Homomorphisms between Infinite-Dimensional Lie Groups Are Smooth.” J. Funct. Anal., vol. 228, no. 2, 2005, pp. 419–444, doi:10.1016/j.jfa.2005.06.023.
LibreCat | DOI
 

2005 | Journal Article | LibreCat-ID: 64702
Glöckner, Helge. “Conveniently Hölder Homomorphisms Are Smooth in the Convenient Sense.” Ann. Global Anal. Geom., vol. 27, no. 3, 2005, pp. 227–255, doi:10.1007/s10455-005-0040-z.
LibreCat | DOI
 

2005 | Journal Article | LibreCat-ID: 64704
Glöckner, Helge. “Smooth Lie Groups over Local Fields of Positive Characteristic Need Not Be Analytic.” J. Algebra, vol. 285, no. 1, 2005, pp. 356–371, doi:10.1016/j.jalgebra.2004.11.018.
LibreCat | DOI
 

2005 | Journal Article | LibreCat-ID: 64701
Glöckner, Helge. “Contraction Groups for Tidy Automorphisms of Totally Disconnected Groups.” Glasg. Math. J., vol. 47, no. 2, 2005, pp. 329–333, doi:10.1017/S0017089505002557.
LibreCat | DOI
 

2005 | Journal Article | LibreCat-ID: 64699
Glöckner, Helge. “Fundamentals of Direct Limit Lie Theory.” Compos. Math., vol. 141, no. 6, 2005, pp. 1551–1577, doi:10.1112/S0010437X05001491.
LibreCat | DOI
 

2005 | Journal Article | LibreCat-ID: 64703
Glöckner, Helge. “Diff(R^n) as a Milnor-Lie Group.” Math. Nachr., vol. 278, no. 9, 2005, pp. 1025–1032, doi:10.1002/mana.200310288.
LibreCat | DOI
 

2005 | Preprint | LibreCat-ID: 64741
Glöckner, Helge. Finite Order Differentiability Properties, Fixed Points and Implicit Functions over Valued Fields. 2005.
LibreCat | arXiv
 

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