6 citations · 20 across the 9 of their papers we have counts for
7 papers · 1 filter
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…
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.
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…
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…