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papers

Publications (60)

math.GR2008

Final group topologies, Kac-Moody groups and Pontryagin duality

Helge Glockner, Ralf Köhl, Tobias Hartnick

math.DG2016

Fundamentals of submersions and immersions between infinite-dimensional manifolds

Helge Glockner

math.GR2004

Fundamentals of direct limit Lie theory

Helge Glockner

math.GR2017

Endomorphisms of Lie groups over local fields

Helge Glockner

math.FA2007

Applications of hypocontinuous bilinear maps in infinite-dimensional differential calculus

Helge Glockner

math.GR2004

Smooth Lie groups over local fields of positive characteristic need not be analytic

Helge Glockner

math.FA2004

Tensor products in the category of topological vector spaces are not associative

Helge Glockner

math.FA2006

Comparison of some notions of C^k-maps in multi-variable non-archimedian analysis

Helge Glockner

math.FA2012

When unit groups of continuous inverse algebras are regular Lie groups

Helge Glockner, Karl-Hermann Neeb

math.FA2011

Topological algebras of rapidly decreasing matrices and generalizations

Helge Glockner, Bastian Langkamp

math.GR2006

Directions of automorphisms of Lie groups over local fields compared to the directions of Lie algebra automorphisms

Helge Glockner, George A. Willis

math.DS2015

Invariant manifolds for finite-dimensional non-archimedean dynamical systems

Helge Glockner

math.GR2006

Direct limit groups do not have small subgroups

Helge Glockner

math.GR2004

Contraction groups for tidy automorphisms of totally disconnected groups

Helge Glockner

math.GR2004

Hoelder continuous homomorphisms between infinite-dimensional Lie groups are smooth

Helge Glockner

math.GN2018

Products of locally compact spaces are k_R-spaces

Helge Glockner, Niku Masbough

math.FA2012

Exponential laws for ultrametric partially differentiable functions and applications

Helge Glockner

math.GR2003

Every smooth p-adic Lie group admits a compatible analytic structure

Helge Glockner

math.FA2011

Continuity of bilinear maps on direct sums of topological vector spaces

Helge Glockner

math.GR2004

Conveniently Hoelder homomorphisms are smooth in the convenient sense

Helge Glockner

math.GR2016

Lectures on Lie groups over local fields

Helge Glockner

math.GR2008

Direct limits of infinite-dimensional Lie groups

Helge Glockner

math.FA2015

Measurable regularity properties of infinite-dimensional Lie groups

Helge Glockner

math.GR2006

Fundamental problems in the theory of infinite-dimensional Lie groups

Helge Glockner

math.FA2016

Regularity properties of infinite-dimensional Lie groups, and semiregularity

Helge Glockner

math.GR2008

Solutions to open problems in Neeb's recent survey on infinite-dimensional Lie groups

Helge Glockner

math.GR2007

Simplified Proofs for the Pro-Lie Group Theorem and the One-Parameter Subgroup Lifting Lemma

Helge Glockner

math.GR2011

A note concerning a tidying procedure and contraction groups in non-metrizable, totally disconnected groups

Helge Glockner

math.GN2005

Discontinuous non-linear mappings on locally convex direct limits

Helge Glockner

math.FA2007

General Dirichlet series, arithmetic convolution equations and Laplace transforms

Helge Glockner, Lutz G. Lucht, Stefan Porubsky

math.GR2017

Completeness of locally $k_ω$-groups and related infinite-dimensional Lie groups

Helge Glockner

math.FA2012

Weighted inversion of general Dirichlet series

Helge Glockner, Lutz G. Lucht

math.DS2008

Invariant manifolds for analytic dynamical systems over ultrametric fields

Helge Glockner

math.DS2015

Expansive automorphisms of totally disconnected, locally compact groups

Helge Glockner, C. R. E. Raja

math.FA2013

Differentiable mappings between spaces of sections

Helge Glockner

math.GR2018

Decompositions of locally compact contraction groups, series and extensions

Helge Glockner, George A. Willis

math.GR2016

Elementary p-adic Lie groups have finite construction rank

Helge Glockner

math.GR2019

Direct limits of regular Lie groups

Helge Glockner

math.FA2017

Completeness of infinite-dimensional Lie groups in their left uniformity

Helge Glockner

math.FA2012

Upper bounds for continuous seminorms and special properties of bilinear maps

Helge Glockner

math.FA2007

Ultrametric and non-locally convex analogues of the general curve lemma of convenient differential calculus

Helge Glockner

math.GR2004

Lie groups over non-discrete topological fields

Helge Glockner

math.GR2007

Contractible Lie groups over local fields

Helge Glockner

math.FA2007

Finite order differentiability properties, fixed points and implicit functions over valued fields

Helge Glockner

math.FA2007

Instructive examples of smooth, complex differentiable and complex analytic mappings into locally convex spaces

Helge Glockner

math.FA2014

Bounded solutions of finite lifetime to differential equations in Banach spaces

Rafael Dahmen, Helge Glockner

math.GR2014

The kernel of the adjoint representation of a p-adic Lie group need not have an abelian open normal subgroup

Helge Glockner

math.GR2005

Locally compact groups built up from p-adic Lie groups, for p in a given set of primes

Helge Glockner

math.FA2003

Examples of differentiable mappings into non-locally convex spaces

Helge Glockner

math.GM2003

Implicit Functions from Topological Vector Spaces to Banach Spaces

Helge Glockner

math.GR2016

Diffeomorphism groups of compact convex sets

Helge Glockner, Karl-Hermann Neeb

math.FA2006

Aspects of p-adic non-linear functional analysis

Helge Glockner

math.GR2006

Classification of the simple factors appearing in composition series of totally disconnected contraction groups

Helge Glockner, George A. Willis

math.DS2012

Grobman-Hartman theorems for diffeomorphisms of Banach spaces over valued fields

Helge Glockner

math.DG2016

Complexifications of infinite-dimensional manifolds and new constructions of infinite-dimensional Lie groups

Rafael Dahmen, Helge Glockner, Alexander Schmeding

math.GR2006

Direct limits of infinite-dimensional Lie groups compared to direct limits in related categories

Helge Glockner

math.FA2007

Implicit functions from topological vector spaces to Fréchet spaces in the presence of metric estimates

Helge Glockner

math.FA2012

Continuity of LF-algebra representations associated to representations of Lie groups

Helge Glockner

math.GM2003

Differential Calculus, Manifolds and Lie Groups over Arbitrary Infinite Fields

Wolfgang Bertram, Helge Glockner, Karl-Hermann Neeb

math.AT2010

Homotopy groups of ascending unions of infinite-dimensional manifolds

Helge Glockner