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Francis Sergeraert (1977/1978)

Séminaire Bourbaki

Calculus of flows on convenient manifolds

Andrzej Zajtz (1996)

Archivum Mathematicum

The study of diffeomorphism group actions requires methods of infinite dimensional analysis. Really convenient tools can be found in the Frölicher - Kriegl - Michor differentiation theory and its geometrical aspects. In terms of it we develop the calculus of various types of one parameter diffeomorphism groups in infinite dimensional spaces with smooth structure. Some spectral properties of the derivative of exponential mapping for manifolds are given.

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