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

被引：11

作者：

Elin, Mark ^{[1
]}

Reich, Simeon ^{[2
]}

Shoikhet, David ^{[1
]}

Yacobzon, Fiana ^{[3
]}

机构：

[1] ORT Braude Coll, Dept Math, IL-21982 Karmiel, Israel

[2] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel

[3] ORT Braude Coll, Dept Software Engn, IL-21982 Karmiel, Israel

来源：

COMPLEX ANALYSIS AND OPERATOR THEORY | 2008年 / 2卷 / 01期

关键词：

Asymptotic behavior; Cauchy problem; Denjoy-Wolff point; holomorphic generator; Kaenigs function; one-parameter continuous semigroup; repelling fixed point; rigidity;

D O I：

10.1007/s11785-007-0027-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页码：55 / 86

页数：32

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