On integrable delta functions on the Levi-Civita field

DOI10.1134/S207004661801003XzbMath1428.46048OpenAlexW2793722726MaRDI QIDQ2317191

Darren Flynn, Khodr Shamseddine

Publication date: 8 August 2019

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

Full work available at URL: https://doi.org/10.1134/s207004661801003x

zbMATH Keywords

Green's functionpower seriesLevi-Civita fieldDirac delta functionmeasure theory and integrationnon-Archimedean analysisdouble and triple integralssolutions of ODEs and PDEs

Mathematics Subject Classification ID

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Miscellaneous topics in measure theory (28E99) Non-Archimedean valued fields (12J25)

Related Items (5)

A real-valued measure on non-Archimedean field extensions of \(\mathbb{R}\) ⋮ On Non-Archimedean Valued Fields: A Survey of Algebraic, Topological and Metric Structures, Analysis and Applications ⋮ On computational applications of the Levi-Civita field ⋮ An incompatibility result on non-Archimedean integration ⋮ Spaces of measurable functions on the Levi-Civita field

Cites Work

• Analysis on the Levi-Civita field and computational applications
• Analytical properties of power series on Levi-Civita fields
• Fields: Algebraically closed and others
• New results on integration on the Levi-Civita field
• Measure theory and Lebesgue-like integration in two and three dimensions over the Levi-Civita field
• Advances in Ultrametric Analysis
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