6 citations · 20 across the 9 of their papers we have counts for
13 papers
Deep neural networks on diffeomorphism groups for optimal shape reparameterization
Elena Celledoni, Helge Glöckner, Jørgen Riseth +1
One of the fundamental problems in shape analysis is to align curves or surfaces before computing geodesic distances between their shapes. Finding the optimal reparametrization rea…
Manifolds of mappings on cartesian products
Helge Glockner, Alexander Schmeding
Given smooth manifolds (which may have a boundary or corners), a smooth manifold modeled on locally convex spaces and , w…
Lie groups of real analytic diffeomorphisms are -regular
Helge Glockner
Let be a compact, real analytic manifold and be the Lie group of all real-analytic diffeomorphisms of , which is modelled on the space of real-analytic v…
Aspects of control theory on infinite-dimensional Lie groups and G-manifolds
Helge Glockner, Joachim Hilgert
We develop aspects of geometric control theory on Lie groups G which may be infinite dimensional, and on smooth G-manifolds M modelled on locally convex spaces. As a tool, we discu…
Contraction Groups and Passage to Subgroups and Quotients for Endomorphisms of Totally Disconnected Locally Compact Groups
Timothy P. Bywaters, Helge Glöckner, Stephan Tornier
The concepts of the scale and tidy subgroups for an automorphism of a totally disconnected locally compact group were defined in seminal work by George A. Willis in the 1990s, and…
Completeness of infinite-dimensional Lie groups in their left uniformity
Helge Glockner
We prove completeness for the main examples of infinite-dimensional Lie groups and some related topological groups.
Complexifications of infinite-dimensional manifolds and new constructions of infinite-dimensional Lie groups
Rafael Dahmen, Helge Glockner, Alexander Schmeding
Let M be a real analytic manifold modeled on a locally convex space and K be a non-empty compact subset of M. We show that if an open neighborhood of K in M admits a complexificati…
Bounded solutions of finite lifetime to differential equations in Banach spaces
Rafael Dahmen, Helge Glockner
Consider a smooth vector field and a maximal solution to the ordinary differential equation . It…
Expansive automorphisms of totally disconnected, locally compact groups
Helge Glockner, C. R. E. Raja
We study automorphisms of a totally disconnected, locally compact group which are expansive in the sense that, for some identity neighbourhood , the sets (for i…
When unit groups of continuous inverse algebras are regular Lie groups
Helge Glockner, Karl-Hermann Neeb
It is a basic fact in infinite-dimensional Lie theory that the unit group G(A) of a continuous inverse algebra A is a Lie group. We describe criteria ensuring that the Lie group G(…
Continuity of convolution of test functions on Lie groups
Lidia Birth, Helge Glockner
If G is a Lie group, let D(G) be the space of compactly supported smooth functions on G. Consider the bilinear map B : D(G) x D(G) -> D(G), (f,g) |-> f*g which takes a pair of test…
Weighted inversion of general Dirichlet series
Helge Glockner, Lutz G. Lucht
Inversion theorems of Wiener type are essential tools in analysis and number theory. We derive a weighted version of an inversion theorem of Wiener type for general Dirichlet serie…
Final group topologies, Kac-Moody groups and Pontryagin duality
Helge Glockner, Ralf Köhl, Tobias Hartnick
We study final group topologies and their relations to compactness properties. In particular, we are interested in situations where a colimit or direct limit is locally compact, a…