Infinitesimal generators associated with semigroups of linear fractional maps

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dc.creatorBracci, Filippo
dc.creatorContreras, Manuel D.
dc.creatorDiaz-Madrigal, Santiago
dc.date2006-01-27
dc.date.accessioned2026-07-07T06:59:22Z
dc.date.available2026-07-07T06:59:22Z
dc.descriptionWe characterize the infinitesimal generator of a semigroup of linear fractional self-maps of the unit ball in $\mathbb C^n$, $n\geq 1$. For the case $n=1$ we also completely describe the associated Koenigs function and we solve the embedding problem from a dynamical point of view, proving, among other things, that a generic semigroup of holomorphic self-maps of the unit disc is a semigroup of linear fractional maps if and only if it contains a linear fractional map for some positive time.
dc.description21 pages
dc.identifierhttps://arxiv.org/abs/math/0601665
dc.identifierhttp://arxiv.org/abs/math/0601665
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/107722
dc.subjectComplex Variables
dc.subjectDynamical Systems
dc.subject30C99, 32A99
dc.titleInfinitesimal generators associated with semigroups of linear fractional maps
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