Double series over a non-Archimedean field

In the present paper we investigate the convergence of a double series over a complete non-Archimedean field and prove that, while the proofs are somewhat different, the Archimedean results hold true.

Bibliographic Details
Main Authors: Luigi Corgnier, Carla Massaza, Paolo Valabrega
Format: Article
Language:English
Published: Accademia Peloritana dei Pericolanti 2015-02-01
Series:Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali
Online Access: http://dx.doi.org/10.1478/AAPP.931A1