A non-archimedean Montel's theorem
classification
🧮 math.AG
math.DS
keywords
non-archimedeanfunctionsmonteltheoremanalyticapplicationscompletecontext
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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.
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