Double series over a non-Archimedean field

Authors

  • Luigi Corgnier Politecnico di Torino
  • Carla Massaza Politecnico di Torino
  • Paolo Valabrega Politecnico di Torino

DOI:

https://doi.org/10.1478/AAPP.931A1

Keywords:

Non-Archimedean fields, double series.

Abstract

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.

Author Biographies

  • Luigi Corgnier, Politecnico di Torino
    Dipartimento di Scienze Matematiche
  • Carla Massaza, Politecnico di Torino
    Dipartimento di Scienze Matematiche
  • Paolo Valabrega, Politecnico di Torino
    Dipartimento di Scienze Matematiche

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Published

2015-02-26

Issue

Vol. 93 No. 1 (2015)

Section

Articles

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