A flower structure of backward flow invariant domains for semigroups

Simple item page
dc.creatorElin, Mark
dc.creatorShoikhet, David
dc.creatorZalcman, Lawrence
dc.date2005-11-30
dc.date.accessioned2026-07-07T07:47:11Z
dc.date.available2026-07-07T07:47:11Z
dc.descriptionIn this paper, we study conditions which ensure the existence of backward flow invariant domains for semigroups of holomorphic self-mappings of a simply connected domain $D$. More precisely, the problem is the following. Given a one-parameter semigroup $\mathcal S$ on $D$, find a simply connected subset $Ω\subset D$ such that each element of $\mathcal S$ is an automorphism of $Ω$, in other words, such that $\mathcal S$ forms a one-parameter group on $Ω$. On the way to solving this problem, we prove an angle distortion theorem for starlike and spirallike functions with respect to interior and boundary points.
dc.identifierhttps://arxiv.org/abs/math/0511718
dc.identifierhttp://arxiv.org/abs/math/0511718
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/124076
dc.subjectComplex Variables
dc.subjectMathematical Physics
dc.titleA flower structure of backward flow invariant domains for semigroups
dc.typetext

Files

Collections

arXiv