On analytic functions in an ordered field with an infinite rank valuation

DOI10.1134/S2070046620040056zbMath1468.46081arXiv1912.05385OpenAlexW3098062223MaRDI QIDQ2220952

Héctor M. Moreno

Publication date: 25 January 2021

Published in: \(p\)-Adic Numbers, Ultrametric Analysis, and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.05385

zbMATH Keywords

analytic functionsvalued fieldsultrametric calculus

Mathematics Subject Classification ID

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Operator theory over fields other than (mathbb{R}), (mathbb{C}) or the quaternions; non-Archimedean operator theory (47S10) Non-Archimedean function theory (30G06) Abstract inverse mapping and implicit function theorems involving nonlinear operators (47J07)

Cites Work

• Ein nicht-klassischer Hilbertscher Raum
• Non-measurable sets in the Levi-Civita field
• The implicit function theorem on a field 𝐾 with an infinite rank valuation
• Advances in Ultrametric Analysis
• Ordered fields satisfying Rolle's theorem
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