activity
19922017
most citedDenjoy-Carleman differentiable perturbation of polynomials and unbounded operators

27 citations · 110 across the 18 of their papers we have counts for

collaborators

20 papers

gr-qc2017★ 6 cited

Non-singular spacetimes with a negative cosmological constant: V. Boson stars

Piotr T. Chruściel, Erwann Delay, Paul Klinger +3

We prove existence of large families of solutions of Einstein-complex scalar field equations with a negative cosmological constant, with a stationary or static metric and a time-pe…

math.FA2014★ 4 cited

The exponential law for spaces of test functions and diffeomorphism groups

Andreas Kriegl, Peter W. Michor, Armin Rainer

We prove the exponential law (bornological isomorphism) for the following classes of test functions: $\…

math.DG2014★ 19 cited

An exotic zoo of diffeomorphism groups on

Andreas Kriegl, Peter W. Michor, Armin Rainer

Let be a (local) Denjoy-Carleman class of Beurling or Roumieu type, where the weight sequence is log-convex and has moderate growth. We prove that the groups ${…

math.FA2011★ 8 cited

The Convenient Setting for Denjoy--Carleman Differentiable Mappings of Beurling and Roumieu Type

Andreas Kriegl, Peter W. Michor, Armin Rainer

We prove in a uniform way that all Denjoy--Carleman differentiable function classes of Beurling type and of Roumieu type , admit a convenient setting if the we…

math.RT2011★ 3 cited

Addendum to: "Lifting smooth curves over invariants for representations of compact Lie groups, III" [J. Lie Theory 16 (2006), No. 3, 579-600.]

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

We improve the main results in the paper from the title using a recent refinement of Bronshtein's theorem due to Colombini, Orrú, and Pernazza. They are then in general best possib…

math.FA2009★ 27 cited

Denjoy-Carleman differentiable perturbation of polynomials and unbounded operators

Andreas Kriegl, Peter W. Michor, Armin Rainer

Let for be a -mapping with values unbounded operators with compact resolvents and common domain of definition which are self-adjoint or normal. Here $…