A non-Archimedean Montel's theorem

被引：9

作者：

Favre, Charles ^{[1
]}

Kiwi, Jan ^{[2
]}

Trucco, Eugenio ^{[3
]}

机构：

[1] Ecole Polytech, Ctr Math Laurent Schwartz, F-91128 Palaiseau, France

[2] Pontificia Univ Catolica Chile, Fac Matemat, Santiago, Chile

[3] Univ Austral Chile, Fac Ciencias, Inst Ciencias Fis & Matemat, Valdivia, Chile

来源：

COMPOSITIO MATHEMATICA | 2012年 / 148卷 / 03期

关键词：

normal family; Berkovich spaces; non-Archimedean analysis;

D O I：

10.1112/S0010437X11007470

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a version of Montel's theorem for analytic functions over a non-Archimedean complete valued field. We propose a definition of normal family in this context, and give applications of our results to the dynamics of non-Archimedean entire functions.

引用

页码：966 / 990

页数：25

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