• Corpus ID: 124921861

THE CONVENIENT SETTING FOR

@inproceedings{Kriegl2012THECS,
  title={THE CONVENIENT SETTING FOR},
  author={Andreas Kriegl and Peter W. Michor and Armin Rainer},
  year={2012}
}
We prove in a uniform way that all Denjoy{Carleman dieren- tiable function classes of Beurling type C (M) and of Roumieu type C fMg , admit a convenient setting if the weight sequence M = (Mk) is log-convex and of moderate growth: For C denoting either C (M) or C fMg , the category of C-mappings is cartesian closed in the sense thatC(E;C(F;G)) =C(E F;G) for convenient vector spaces. Applications to manifolds of mappings are given: The group ofC-dieomorphisms is a regular C-Lie group ifC C… 
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