Class of the infinitesimal generator of a diffeomorphism in $(\C^m,0)$

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dc.creatorMartinez, F. E. Brochero
dc.creatorLopez-Hernanz, L.
dc.date2007-01-12
dc.date.accessioned2026-07-07T07:40:38Z
dc.date.available2026-07-07T07:40:38Z
dc.descriptionLet $F$ be an analytic diffeomorphism in $(\C^m,0)$ tangent to the identity of order $n$. The infinitesimal generator of $F$ is the formal vector field $X$ such that $\Exp X=F$. In this paper we provide an elementary proof of the fact that $X$ belongs to the Gevrey class of order $1/n$.
dc.description6 pages
dc.identifierhttps://arxiv.org/abs/math/0701355
dc.identifierhttp://arxiv.org/abs/math/0701355
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/121835
dc.subjectDynamical Systems
dc.subjectComplex Variables
dc.subject32H02, 32H50, 37F99
dc.titleClass of the infinitesimal generator of a diffeomorphism in $(\C^m,0)$
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