Asymptotic Behavior of One-Parameter Semigroups and Rigidity of Holomorphic Generators

被引：0
|
作者：
Mark Elin
Simeon Reich
David Shoikhet
Fiana Yacobzon
机构：
[1] ORT Braude College,Department of Mathematics
[2] The Technion – Israel Institute of Technology,Department of Mathematics
[3] ORT Braude College,Department of Software Engineering
来源：
Complex Analysis and Operator Theory | 2008年 / 2卷
关键词：
Primary 30C45; Secondary 47H20; Asymptotic behavior; Cauchy problem; Denjoy–Wolff point; holomorphic generator; Kœnigs function; one-parameter continuous semigroup; repelling fixed point; rigidity;
D O I：
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学科分类号：
摘要：
We study the asymptotic behavior of one-parameter continuous semigroups of holomorphic mappings. We present angular characteristics of their trajectories at their Denjoy–Wolff points, as well as at their regular repelling points (whenever they exist). This enables us to establish new rigidity properties of holomorphic generators via the asymptotic behavior of the semigroups they generate.
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页码：55 / 86
页数：31
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