40 citations · 295 across the 45 of their papers we have counts for
4 papers · 1 filter
The Lie group of real analytic diffeomorphisms is not real analytic
Rafael Dahmen, Alexander Schmeding
We construct an infinite dimensional real analytic manifold structure for the space of real analytic mappings from a compact manifold to a locally convex manifold. Here a map is re…
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…
The Lie group structure of the Butcher group
Geir Bogfjellmo, Alexander Schmeding
The Butcher group is a powerful tool to analyse integration methods for ordinary differential equations, in particular Runge--Kutta methods. In the present paper, we complement the…
The Lie group of bisections of a Lie groupoid
Alexander Schmeding, Christoph Wockel
In this article we endow the group of bisections of a Lie groupoid with compact base with a natural locally convex Lie group structure. Moreover, we develop thoroughly the connecti…