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 ...

Let V be a complete discrete valuation ring with residue field k and with fraction field K of characteristic 0. We clarify the analysis behind the Monsky–Washnitzer completion of a commutative V -algebra using spectral ...

The theory of X-normed spaces over non-Archimedean valued fields with valuations of higher rank was introduced by H. Ochsenius and W. H. Schikhof in [1] and further developed in [2–4, 6, 7] and [5]. In order to obtain ...