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A non-archimedean Montel's theorem

Published 4 May 2011 in math.AG and math.DS | (1105.0746v3)

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.

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