The convenient setting for quasianalytic Denjoy-Carleman differentiable mappings |
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Authors: | Andreas Kriegl Armin Rainer |
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Institution: | Fakultät für Mathematik, Universität Wien, Nordbergstrasse 15, A-1090 Wien, Austria |
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Abstract: | For quasianalytic Denjoy-Carleman differentiable function classes CQ where the weight sequence Q=(Qk) is log-convex, stable under derivations, of moderate growth and also an L-intersection (see (1.6)), we prove the following: The category of CQ-mappings is cartesian closed in the sense that CQ(E,CQ(F,G))≅CQ(E×F,G) for convenient vector spaces. Applications to manifolds of mappings are given: The group of CQ-diffeomorphisms is a regular CQ-Lie group but not better. |
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Keywords: | Convenient setting Denjoy-Carleman classes Quasianalytic mappings of moderate growth |
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