Analytic functions over valued fields.
Annulation de T-filtres par des fonctions croulantes
Applications of the -adic Nevanlinna theory to functional equations
Let be an algebraically closed field of characteristic zero, complete for an ultrametric absolute value. We apply the -adic Nevanlinna theory to functional equations of the form , where , are meromorphic functions in , or in an “open disk”, satisfying conditions on the order of its zeros and poles. In various cases we show that and must be constant when they are meromorphic in all , or they must be quotients of bounded functions when they are meromorphic in an “open disk”. In particular,...
AQCQ-functional equation in non-Archimedean normed spaces.
Arithmetic aspect of operator algebras
Automorphismes et dérivations de «petites normes» sur un corps value non archimédien