Stable algebras of entire functions

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dc.creatorComan, Dan
dc.creatorPoletsky, Evgeny A.
dc.date2007-04-09
dc.date.accessioned2026-07-07T07:55:39Z
dc.date.available2026-07-07T07:55:39Z
dc.descriptionSuppose that $h$ and $g$ belong to the algebra $\B$ generated by the rational functions and an entire function $f$ of finite order on ${\Bbb C}^n$ and that $h/g$ has algebraic polar variety. We show that either $h/g\in\B$ or $f=q_1e^p+q_2$, where $p$ is a polynomial and $q_1,q_2$ are rational functions. In the latter case, $h/g$ belongs to the algebra generated by the rational functions, $e^p$ and $e^{-p}$.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/0704.0997
dc.identifierhttp://arxiv.org/abs/0704.0997
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/127045
dc.subjectComplex Variables
dc.subject32A38; 30H05
dc.titleStable algebras of entire functions
dc.typetext

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