Univalent wandering domains in the Eremenko-Lyubich class

Univalent wandering domains in the Eremenko-Lyubich class
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Eremenko-Lyubich 类中的单价漂移域

DOI:
10.1007/s11854-027-0079-x
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发表时间:
2017
期刊:
Journal d'Analyse Mathématique
影响因子:
--
通讯作者:
K. Lazebnik
K. Lazebnik
中科院分区:
--
文献类型:
--
作者:
N. Fagella;X. Jarque;K. Lazebnik

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We use the Folding Theorem of [Bis15] to construct an entire function f in class ℬ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\cal B}$$\end{document} and a wandering domain U of f such that f restricted to fn (U) is univalent, for all n ≥ 0. The components of the wandering orbit are bounded and surrounded by the postcritical set.
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