Helge Glöckner's Publications and Preprints
Total number of publications (excluding preprints and theses): 75
Articles in refereed mathematical journals:

Completeness of infinitedimensional Lie groups in their left
uniformity,
32 pages, Canadian J. Math.,
https://doi.org/10.4153/CJM20170485

Contraction groups and passage to subgroups and quotients for endomorphisms of totally disconnected locally compact groups
(with T. P. Bywaters and S. Tornier), Israel J. Math.
227 (2018), 691752.

Completeness of locally k_omegagroups and related infinitedimensional Lie groups, Topol. Appl. 228 (2017), 277284.

Diffeomorphism groups of compact convex sets
(with KarlHermann Neeb), Indag. Math. 28 (2017),
760783.
 Elementary padic Lie groups have finite construction rank, Proc. Amer. Math. Soc. 145
(2017), no. 11, 50075021.
 Expansive automorphisms of totally disconnected, locally compact groups (with C.R.E. Raja), J. Group Theory 20 (2017), no. 3, 589619.
 Homotopy groups of ascending unions of infinitedimensional
manifolds, to appear in Ann. Inst. Fourier (Grenoble)
(cf. arXiv:0812.4713v2)
 The kernel of the adjoint representation of a padic Lie group need not have an abelian open normal subgroup,
Commun. Algebra 44 (2016), no. 7, 29812988.
 Bounded solutions of finite lifetime to differential equations in
Banach spaces (with R. Dahmen),
Acta Sci. Math. (Szeged) 81 (2015), 457468.
 Weighted inversion of general Dirichlet series (with L.G. Lucht),
Trans. Amer. Math. Soc. 366 (2014), no. 6, 32753293.
 Continuity of convolution of test functions on Lie groups (with L. Birth), Canadian J. Math. 66 (2014), no. 1, 102140.
 Exponential laws for ultrametric partially differentiable functions and applications,
pAdic Numbers Ultram.
Anal. Appl. 5 (2013), no. 2, 122159.
 Continuity of LFalgebra representations associated to representations of Lie groups, Kyoto J. Math. 53 (2013), no. 3, 567595.
 Invariant manifolds for analytic dynamical systems over ultrametric
fields, Expo. Math. 31 (2013), 116150.
 When unit groups of continuous inverse algebras are regular Lie
groups (with K.H. Neeb), Studia Math. 211 (2012), 95109.
 Upper bounds for continuous seminorms and special properties of bilinear maps, Topol. Appl. 159 (2012), 29903001.
 Continuity of bilinear maps on direct sums of topological vector spaces, J. Funct. Anal. 262 (2012), no. 5, 20132030.
 Topological algebras of rapidly decreasing matrices and generalizations (with B. Langkamp), Topol. Appl. 159
(2012), 24202422.
 Classification of the simple factors appearing in
composition series of totally disconnected
contraction groups
(with G.A. Willis),
J. Reine Angew. Math. 634 (2010), 141169.
 Final group topologies, KacMoody groups
and Pontryagin duality
(with R. Gramlich and T. Hartnick),
Israel J. Math. 177 (2010), 49102.
 General Dirichlet series,
arithmetic convolution equations
and Laplace transforms
(with L.G. Lucht and S. Porubsky),
Stud. Math. 193 (2009), no. 2, 109129.
 Solutions to open problems in Neeb's recent survey on infinitedimensional Lie groups,
Geom. Dedicata 135 (2008), 7186.
 Contractible Lie groups over local fields,
Math. Z. 260 (2008), 889904
 Ultrametric and nonlocally convex
analogues of the general curve lemma
of convenient differential calculus,
Glasgow Math. J. 50 (2008), no. 2, 271288.
 Comparison of some notions
of C^kmaps in multivariable
nonarchimedian analysis,
Bull. Belg. Math. Soc. Simon Stevin 14 (2007),
877904.
 Direct limits of infinitedimensional
Lie groups compared to direct limits in
related categories,
J. Funct. Anal. 245 (2007), 1961.
 Direct limit groups do not have small subgroups,
Topol. Appl. 154 (2007), 11261133.
 Solutions to arithmetic convolution equations
(with L.G. Lucht and S. Porubsky),
Proc. Amer. Math. Soc. 135 (2007), 16191629.

Directions of automorphisms of Lie groups over local fields
compared to the directions of Lie algebra automorphisms
(with G.A. Willis),
Topology Proceedings 31 (2007),
481501.
 Instructive examples of
smooth, complex differentiable and
complex analytic
mappings into locally convex spaces,
J. Math. Kyoto Univ. 47 (2007), 631642.
 Simplified Proofs for the ProLie Group Theorem
and the OneParameter Subgroup Lifting Lemma,
J. Lie Theory 17 (2007), 899902.
 Implicit functions from topological
vector spaces to Banach spaces,
Israel J. Math. 155 (2006), 205252.
 Every smooth padic Lie group admits a compatible
analytic structure,
Forum Math. 18 (2006), 4584.
 Locally compact groups built up
from padic Lie groups, for p in a given set of primes,
J. Group Theory 9 (2006), no. 4, 427454.
 Fundamental problems in the theory
of infinitedimensional Lie groups,
J. Geom. Symm. Phys. 5 (2006), 2435.
 Discontinuous nonlinear mappings on locally convex
direct limits,
Publ. Math. Debrecen 68/12 (2006), 113
 Hölder continuous homomorphisms between infinitedimensional
Lie groups are smooth,
J. Funct. Analysis 228 (2005), no. 2,
419444.
 Conveniently Hölder homomorphisms are
smooth in the convenient sense,
Ann. Global Anal. Geom. 27 (2005),
227255.
 Fundamentals of direct limit Lie theory,
Compositio Math. 141 (2005), 15511577.
 Smooth Lie groups over local fields of positive characteristic need
not be analytic,
J. Algebra 285 (2005), 356371.
 Diff(R^n) as a MilnorLie group,
Math. Nachr.
278 (2005), No. 9, 10251032.
 Contraction groups for tidy automorphisms
of totally disconnected groups,
Glasgow Math. J. 47 (2005), no. 2,
329333.
 Differential calculus over general base fields and rings
(with W. Bertram and K.H. Neeb),
Expo. Math. 22 (2004), 213282.
 Tensor products in the category of topological
vector spaces are not associative,
Comment.
Math. Univ. Carol. 45 (2004),
no. 4, 607614.
 Examples of differentiable mappings into
nonlocally convex spaces,
Topol. Proc.
28 (2004), No. 2,
479486.
 Positive definite functions on infinitedimensional
convex cones, Memoirs Amer. Math. Soc. 789 (2003),
xiv+128 pp
 BanachLie quotients, enlargibility,
and universal complexifications
(with K.H. Neeb),
J. Reine Ang. Math. 560 (2003), 128.
 Direct limit Lie groups and manifolds,
J. Math. Kyoto Univ.
43 (2003), 1 26.
 Lie groups of measurable mappings,
Canadian J. Math. 55 (2003), no. 5, 969999.
 Lie group structures on quotient groups
and universal complexifications for infinitedimensional
Lie groups, J. Funct. Analysis 194 (2002), No. 2,
347409.
 Algebras whose groups of units are Lie groups,
Studia Math. 153 (2002), 147177.
 Topologization of Hecke pairs and Hecke C*algebras
(with G.A. Willis),
Topol. Proc. 26 (20012002), No. 2, 565591.
 Approximation by padic Lie groups,
Glasgow Math. J. 44 (2002), 231239.
 Real and padic Lie algebra functors
on the category of topological groups,
Pacific J. Math. 203 (2002), No. 2, 321368.
 Uniscalar padic Lie groups (with G. A. Willis),
Forum Math. 13 (2001), 413421.
 Functions operating on positive semidefinite
quaternionic matrices,
Monatsh. Math. 132 (2001), No.4, 303324.
 Representations of cones and conelike semigroups,
Semigroup Forum 60 (2000), 326333.
 Scale functions on padic
Lie groups,
Manuscr. Math. 97 (1998), 205215.
 Scale functions on linear groups over local skew fields,
J. Algebra 205 (1998), 525541.
 Haar measure on linear groups over local skew
fields, J. Lie Theory 6 (1996), 165177.
Articles in refereed conference proceedings:

Endomorphisms of Lie groups over local fields,
pp. 101165 in: D.R. Wood, J. de Gier, C.E. Praeger, and T. Tao (eds.)
"2016 MATRIX Annals," SpringerVerlag, 2018.
 Lectures on Lie groups over local fields, pp. 3772 in:
P.E. Caprace and N. Monod (eds.),
"New Directions in Locally Compact Groups,"
London Math. Soc. Lect. Note Series 447,
2018.
 Invariant manifolds for finitedimensional nonarchimedean dynamical systems, pp. 7390 in: H. Glöckner, A. Escassut, and K. Shamseddine (eds.), ``Advances in NonArchimedean Analysis,''
AMS, Contemp. Math. 665, 2016.
 GrobmanHartman theorems for diffeomorphisms of Banach spaces over valued fields, pp. 79101 in:
K. Shamseddine (ed.),
"Advances in Ultrametric Analysis,"
Contemp. Math. 596, AMS, 2013.
 Direct limits of infinitedimensional Lie groups,
pp. 243280 in: K.H. Neeb and A. Pianzola (eds),
``Developments and Trends in InfiniteDimensional Lie Theory,''
Birkhäuser, Progr. Math. 288, 2011.
 Applications of hypocontinuous
bilinear maps in infinitedimensional differential
calculus, pp. 171186 in:
S. Silvestrov, E. Paal, V. Abramov and A.
Stolin (eds.),
``Generalized Lie Theory in Mathematics, Physics and Beyond,''
Springer Verlag, 2008.
 Lie groups of germs of analytic mappings,
pp 116 in: Turaev, V. and T. Wurzbacher (Eds.),
``Infinite dimensional groups and manifolds,''
IRMA Lecture Notes in Mathematics and Theoretical Physics,
de Gruyter, 2004.
 Infinitedimensional
Lie groups without completeness restrictions,
pp. 4359 in: Strasburger, A. et al. (Eds.),
``Geometry and Analysis on Finite and InfiniteDimensional
Lie Groups,''
Banach Center Publications, Vol. 55, Warsaw, 2002.
 A property of locally compact groups
(with J. Winkelmann),
pp. 205210 in: Bajo, I., and E. Sanmartin (Eds.),
``Recent Advances in Lie Theory,''
Research and Exposition in Mathematics 25,
HeldermannVerlag, Berlin, 2002.
 Minimally almost periodic abelian
groups and commutative W*algebras (with K.H. Neeb),
pp. 163186 in: Martín Peinador, E. and J.
Nunez Garcia (Eds.),
``Nuclear Groups and Lie Groups,''
Research and Exposition in Mathematics 24,
HeldermannVerlag, Berlin, 2001.
Articles in nonrefereed conference proceedings:

Regularity properties of infinitedimensional Lie groups,
Oberwolfach Rep. 13 (2013), 791794.

Homotopy groups of topological spaces containing a dense directed union of manifolds,
Oberwolfach Rep. 7 (2010), no. 4, 30373039

Direct limits of infinitedimensional
Lie groups,
Oberwolfach Rep. 3 (2006), no. 4, 32863289
 Aspects of padic nonlinear functional analysis,
pp. 237253 in:
A. Yu. Krennikov,
Z. Rakic and I. V. Volovich
(Eds), pAdic Mathematical Physics.
2nd International Conference (Belgrade, 2005),
AIP conference proceedings 826,
Amer. Inst. Physics, New York, 2006.

Direct limits of Lie groups,
Oberwolfach Rep. 1 (2004),
no. 1, 321324.
Books edited
 H. Glöckner, A. Escassut, and K. Shamseddine (eds.), ``Advances in NonArchimedean Analysis,''
AMS, Contemp. Math. 665, 2016, 335 pp.
Preprints and submitted articles:
 Decompositions of locally compact contraction groups,
series and extensions (with G.A. Willis),
preprint, 61 pp, April 2018;
arXiv:1804.01267
 Products of locally compact spaces are k_Rspaces
(with N. Masbough),
preprint, 3 pp, January 2018;
arXiv:1801.02006
 Measurable regularity properties of infinitedimensional
Lie groups, preprint, 229 pp, December 2015;
arXiv:1601.02568
 Fundamentals of submersions and immersions between infinitedimensional manifolds, preprint,
39 pp, October 2016 (first version: February 2015);
arXiv:1502.05795
 Complexifications of infinitedimensional manifolds
and new constructions of infinitedimensional Lie groups (with R. Dahmen and A. Schmeding),
preprint, 32 pp, October 2014;
arXiv:1410.6468
 Regularity properties of infinitedimensional Lie groups
and semiregularity,
preprint, 68 pp, February 2016 (first version: August 2012),
arXiv:1208.0715
 Finite order differentiability properties, fixed points
and implicit functions over valued fields,
preprint, 59 pp, April 2007
(earlier version: 56 pp, November 2005);
math/0511218
 Implicit functions from topological
vector spaces to Frechet spaces in the presence of
metric estimates,
preprint, 51 pp, December 2006;
math/0612673
 Lie groups over nondiscrete topological fields,
preprint, 128 pp, August 2004;
math/0408008
 Patched locally convex spaces, almost local mappings, and diffeomorphism groups of noncompact manifolds,
manuscript.
 Bundles of locally convex spaces,
group actions,
and hypocontinuous bilinear mappings, manuscript, 22 pp.
 Differentiable mappings between spaces of sections,
manuscript, 2002, 30 pp.
(now a preprint:
arXiv:1308.1172)
Theses:

Zum Isomorphieproblem linearer Gruppen über lokalen Körpern, Diplomarbeit, TH Darmstadt, 1995 (Advisor: M. Stroppel).

InfiniteDimensional Complex Groups and Semigroups: Representations of Cones, Tubes, and Conelike Semigroups,
xviii+300 pp, Doktorarbeit, TU Darmstadt, 2000 (Advisor: K.H. Neeb).

Extending the Scope of Lie Theory to Larger Classes of Groups, 405 pp, Habilitationsschrift, TU Darmstadt, 2004.
Outside Mathematics:

Kammermusik für Streichquartett und Gitarre, 2013.
Score
as a pdf; audiofiles: 1. Satz, 2. Satz, 3. Satz, 4. Satz (all rights reserved; performances only with H. Glöckner's written consent)