A. Rainer

activity

20032008

collaborators

4 papers

math.FA2008

The Convenient Setting for non-Quasianalytic Denjoy--Carleman Differentiable Mappings

Andreas Kriegl, Peter W. Michor, Armin Rainer

For Denjoy--Carleman differential function classes $C^{M}$ where the weight sequence $M = (M_{k})$ is logarithmically convex, stable under derivations, and non-quasianalytic of moderate…

math.CA2007

Smooth multiparameter perturbation of polynomials and operators

Mark Losik, Peter W. Michor, Armin Rainer

This paper has been withdrawn by the authors due to a gap in the proof of the main result (in 5.3).

math.RT2005

Lifting smooth curves over invariants for representations of compact Lie groups, III

Andreas Kriegl, Mark Losik, Peter W. Michor +1

Any sufficiently often differentiable curve in the orbit space $V / G$ of a real finite-dimensional orthogonal representation $G \to O (V)$ of a finite group $G$ admits a differentiab…

math.AG2003

Lifting mappings over invariants of finite groups

Andreas Kriegl, Mark Losik, Peter W. Michor +1

We characterize those regular, holomorphic or formal maps into the orbit space $V / G$ of a complex representation of a finite group $G$ which admit a regular, holomorphic or formal…