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

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

Access to Document

10.1112/S0010437X11007470

Cite this

@article{605a48e83ca84050932eeb684c1b9372,

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

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.",

keywords = "Berkovich spaces, non-Archimedean analysis, normal family",

author = "Charles Favre and Jan Kiwi and Eugenio Trucco",

year = "2012",

month = may,

day = "1",

doi = "10.1112/S0010437X11007470",

language = "English",

volume = "148",

pages = "966--990",

journal = "Compositio Mathematica",

issn = "0010-437X",

number = "3",

}

TY - JOUR

T1 - A non-Archimedean Montel's theorem

AU - Favre, Charles

AU - Kiwi, Jan

AU - Trucco, Eugenio

PY - 2012/5/1

Y1 - 2012/5/1

N2 - 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.

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

U2 - 10.1112/S0010437X11007470

DO - 10.1112/S0010437X11007470

M3 - Article

AN - SCOPUS:84861425975

SN - 0010-437X

VL - 148

SP - 966

EP - 990

JO - Compositio Mathematica

JF - Compositio Mathematica

IS - 3

ER -

A non-Archimedean Montel's theorem

Abstract

Keywords

Access to Document

Fingerprint

Cite this