A non-Archimedean Montel%26apos;s theorem

作者:Favre Charles*; Kiwi Jan; Trucco Eugenio
来源:Compositio Mathematica, 2012, 148(3): 966-990.
DOI:10.1112/S0010437X11007470

摘要

We prove a version of Montel%26apos;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.

  • 出版日期2012-5