A non-Archimedean Montel's theorem

Charles Favre; Jan Kiwi; Eugenio Trucco

doi:10.1112/S0010437X11007470

A non-Archimedean Montel's theorem

Charles Favre
, Jan Kiwi
, Eugenio Trucco

Facultad de Matemáticas
Universidad Austral de Chile

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	966-990
Number of pages	25
Journal	Compositio Mathematica
Volume	148
Issue number	3
DOIs	https://doi.org/10.1112/S0010437X11007470
Publication status	Published - 1 May 2012

Keywords

Berkovich spaces
non-Archimedean analysis
normal family

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title = "A non-Archimedean Montel's theorem",

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AB - 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.

KW - Berkovich spaces

KW - non-Archimedean analysis

KW - normal family

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A non-Archimedean Montel's theorem

Abstract

Keywords

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