On a Lebesgue-like measure on the Levi-Civita space \(\mathcal{R}^j\)

DOI10.1134/s2070046624040010MaRDI QIDQ6668728

Khodr Shamseddine, M. Restrepo Borrero

Publication date: 22 January 2025

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

zbMATH Keywords

outer measureLevi-Civita fieldnon-Archimedean analysismeasurable setsLevi-Civita spaces

Mathematics Subject Classification ID

Topological fields (12Jxx) Other (nonclassical) types of functional analysis (46Sxx) Miscellaneous topics in real functions (26Exx)

Cites Work

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• Analysis on the Levi-Civita field and computational applications
• Allgemeine Bewertungstheorie.
• Analytical properties of power series on Levi-Civita fields
• Fields: Algebraically closed and others
• New results on integration on the Levi-Civita field
• Convergence on the Levi-Civita field and study of power series
• Affine Invariant Measures in Levi-Civita Vector Spaces and the Erdös Obtuse Angle Theorem
• Summary on non-Archimedean valued fields
• On a new measure on the Levi-Civita field \(\mathcal{R}\)

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