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
Let k be a non-archimedean field: a field that is complete with respect to a specified nontrivial no...
AbstractAn algorithm is introduced and shown to lead to various unique series expansions of p-adic n...
AbstractFor the convergence of double series and iterated series, a sufficient condition is obtained...
In the present paper we investigate the convergence of a double series over a complete non-Archimed...
The aim of the paper is to define the iteration product of Nörlund methods of double sequences in a...
The paper investigates general properties of the power series over a non- Archimedean ordered field,...
Abstract. We explore the distinction between convergence and absolute con-vergence of series in both...
AbstractPower series with rational exponents on the real numbers field and the Levi-Civita field are...
We consider the problem of local linearization of power series defined over complete valued fields. ...
Several aspects of the convergence of a double series in the sense of Pringsheim are considered in a...
We explain how non-archimedean integrals considered by Chambert-Loir and Ducros naturally arise in a...
In this paper the author constructs several properties for double series and its convergence. The no...
Includes bibliographical references (leaf [36])Problem: The problem was to take some of the more imp...
Abstract. Several aspects of the convergence of a double series in the sense of Pringsheim are consi...
Throughout this paper, K denotes a complete, non-trivially valued, ultrametric (or non-archimedean) ...
Let k be a non-archimedean field: a field that is complete with respect to a specified nontrivial no...
AbstractAn algorithm is introduced and shown to lead to various unique series expansions of p-adic n...
AbstractFor the convergence of double series and iterated series, a sufficient condition is obtained...
In the present paper we investigate the convergence of a double series over a complete non-Archimed...
The aim of the paper is to define the iteration product of Nörlund methods of double sequences in a...
The paper investigates general properties of the power series over a non- Archimedean ordered field,...
Abstract. We explore the distinction between convergence and absolute con-vergence of series in both...
AbstractPower series with rational exponents on the real numbers field and the Levi-Civita field are...
We consider the problem of local linearization of power series defined over complete valued fields. ...
Several aspects of the convergence of a double series in the sense of Pringsheim are considered in a...
We explain how non-archimedean integrals considered by Chambert-Loir and Ducros naturally arise in a...
In this paper the author constructs several properties for double series and its convergence. The no...
Includes bibliographical references (leaf [36])Problem: The problem was to take some of the more imp...
Abstract. Several aspects of the convergence of a double series in the sense of Pringsheim are consi...
Throughout this paper, K denotes a complete, non-trivially valued, ultrametric (or non-archimedean) ...
Let k be a non-archimedean field: a field that is complete with respect to a specified nontrivial no...
AbstractAn algorithm is introduced and shown to lead to various unique series expansions of p-adic n...
AbstractFor the convergence of double series and iterated series, a sufficient condition is obtained...
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