A. Rainer

activity

20032026

most citedComposition in ultradifferentiable classes

62 citations · 389 across the 51 of their papers we have counts for

collaborators

Showing 2009 · math.FAShow all

2 papers · 2 filters

math.FA2009★ 27 cited

Denjoy-Carleman differentiable perturbation of polynomials and unbounded operators

Andreas Kriegl, Peter W. Michor, Armin Rainer

Let $t \mapsto A (t)$ for $t \in T$ be a $C^{M}$ -mapping with values unbounded operators with compact resolvents and common domain of definition which are self-adjoint or normal. Here $…

math.FA2009

The Convenient Setting for Quasianalytic Denjoy--Carleman Differentiable Mappings

Andreas Kriegl, Peter W. Michor, Armin Rainer

For quasianalytic Denjoy--Carleman differentiable function classes $C^{Q}$ where the weight sequence $Q = (Q_{k})$ is log-convex, stable under derivations, of moderate growth and also an…