Intermediate value theorem for analytic functions on a Levi-Civita field

zbMath1181.26044MaRDI QIDQ2469111

Khodr Shamseddine, Martin Berz

Publication date: 4 February 2008

Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.bbms/1197908910

zbMATH Keywords

power seriesanalytic functionsLevi-Civita fieldintermediate value theoremnon-archimedean analysis

Mathematics Subject Classification ID

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Non-Archimedean function theory (30G06) Non-Archimedean valued fields (12J25) Non-Archimedean analysis (26E30)

Related Items (8)

On Non-Archimedean Valued Fields: A Survey of Algebraic, Topological and Metric Structures, Analysis and Applications ⋮ Analysis on the Levi-Civita field and computational applications ⋮ On computational applications of the Levi-Civita field ⋮ Calculus in the ring of Fermat reals. I: Integral calculus ⋮ The implicit function theorem in a non-Archimedean setting ⋮ Topological and algebraic structures on the ring of Fermat reals ⋮ On the topological structure of the Levi-Civita field ⋮ One-variable and multi-variable calculus on a non-Archimedean field extension of the real numbers

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