-adic almost periodicity and representations
-adic analytic interpolation
-adic Fourier theory.
p-adic Ascoli theorems.
The aim of this paper is the study of a certain class of compact-like sets within some spaces of continuous functions over non-Archimedean ground fields. As a result, some p-adic Ascoli theorems are obtained.
P-adic Spaces of Continuous Functions I
Properties of the so called -complete topological spaces are investigated. Also, necessary and sufficient conditions are given so that the space of all continuous functions, from a zero-dimensional topological space to a non-Archimedean locally convex space , equipped with the topology of uniform convergence on the compact subsets of to be polarly barrelled or polarly quasi-barrelled.
P-adic Spaces of Continuous Functions II
Necessary and sufficient conditions are given so that the space of all continuous functions from a zero-dimensional topological space to a non-Archimedean locally convex space , equipped with the topology of uniform convergence on the compact subsets of , to be polarly absolutely quasi-barrelled, polarly -barrelled, polarly -barrelled or polarly -barrelled. Also, tensor products of spaces of continuous functions as well as tensor products of certain -valued measures are investigated.
Principe du maximum et théorème de Lubin-Hensel dans