On the Koenigs function of semigroups of holomorphic self-maps of the unit disc

被引：3

作者：

Bracci, Filippo ^{[1
]}

Contreras, Manuel D. ^{[2
,3
]}

Diaz-Madrigal, Santiago ^{[2
,3
]}

机构：

[1] Univ Roma Tor Vergata, Dipartimento Matemat, Via Ric Sci 1, I-00133 Rome, Italy

[2] Univ Seville, Dept Matemat Aplicada 2, Camino Descubrimientos S-N, Seville 41092, Spain

[3] Univ Seville, IMUS, Camino Descubrimientos S-N, Seville 41092, Spain

来源：

ANALYSIS AND MATHEMATICAL PHYSICS | 2018年 / 8卷 / 04期

关键词：

Semigroups of holomorphic functions;

D O I：

10.1007/s13324-018-0254-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let (ft) be a semigroup of holomorphic self-maps ofD. In this note, we use an abstract approach to define the Koenigs function of (ft) and " holomorphic models" and show how to deduce the existence and properties of the infinitesimal generator of (ft) from this construction.

引用

页码：521 / 540

页数：20

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