A contraction-mapping proof of Koenigs’ theorem

被引：0
|
作者：
Benjamin D. Mestel
机构：
[1] The Open University,Department of Mathematics and Statistics
来源：
Aequationes mathematicae | 2014年 / 88卷
关键词：
37D05; 37F99; Schröder equation; Koenigs theorem; nonlinearity;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We give a simple, functional analytic proof of Koenigs’ theorem on the linearisation of a complex analytic function in a neighbourhood of a hyperbolic fixed point. The proof uses the contraction mapping principle in the nonlinearity norm.
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页码：35 / 38
页数：3
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