Výsledky vyhledávání - "Shamseddine, Khodr"

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On a new measure on the Levi-Civita field $\mathcal{R}$

Autor: Borrero, Mateo Restrepo, Srivastava, Vatsal, Shamseddine, Khodr

The Levi-Civita field $\mathcal{R}$ is the smallest non-Archimidean ordered field extension of the real numbers that is real closed and Cauchy complete in the topology induced by the order. In an earlier paper [Shamseddine-Berz-2003], a measure was d

Externí odkaz: http://arxiv.org/abs/2211.05051

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On the analyticity of WLUD$^\infty$ functions of one variable and WLUD$^\infty$ functions of several variables in a complete non-Archimedean valued field

Autor: Shamseddine, Khodr

Let $\mathcal{N}$ be a non-Archimedean ordered field extension of the real numbers that is real closed and Cauchy complete in the topology induced by the order, and whose Hahn group is Archimedean. In this paper, we first review the properties of wea

Externí odkaz: http://arxiv.org/abs/2108.12933

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On the topological structure of the Hahn field and convergence of power series

Autor: Flynn, Darren, Shamseddine, Khodr

In this paper, we study the topological structure of the Hahn field whose elements are functions from the additive abelian group of rational numbers to the real numbers field, with well-ordered support. After reviewing the algebraic and order structu

Externí odkaz: http://arxiv.org/abs/1901.09137

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