8 citations · 38 across the 16 of their papers we have counts for
19 papers
On the singularities of the exponential function of a semidirect product
Alexandru Chirvasitu, Rafael Dahmen, Karl-Hermann Neeb +1
We show that the Fréchet--Lie groups of the form resulting from smooth flows on compact manifolds fail to be locally exponential in several ca…
A topological splitting of the space of meromorphic germs in several variables and continuous evaluators
Rafael Dahmen, Sylvie Paycha, Alexander Schmeding
We prove a topological decomposition of the space of meromorphic germs at zero in several variables with prescribed linear poles as a sum of spaces of holomorphic and polar germs.…
Long colimits of topological groups IV: Spaces with socks
Rafael Dahmen, Gábor Lukács
The group of compactly supported homeomorphisms on a Tychonoff space can be topologized in a number of ways, including as a colimit of homeomorphism groups with a given compact sup…
On the Topology of J-Groups
Rafael Dahmen
We introduce the concept of a topological J-group and determine for many important examples of topological groups if they are topological J-groups or not. Besides other results, we…
Long colimits of topological groups III: Homeomorphisms of products and coproducts
Rafael Dahmen, Gábor Lukács
The group of compactly supported homeomorphisms on a Tychonoff space can be topologized in a number of ways, including as a colimit of homeomorphism groups with a given compact sup…
Continuity of Chen-Fliess Series for Applications in System Identification and Machine Learning
Rafael Dahmen, W. Steven Gray, Alexander Schmeding
Model continuity plays an important role in applications like system identification, adaptive control, and machine learning. This paper provides sufficient conditions under which i…