Pseudodifferential \(p\)-adic vector fields and pseudodifferentiation of a composite \(p\)-adic function

DOI10.1134/S2070046610010024zbMath1288.47048arXiv1105.1506OpenAlexW2171346856MaRDI QIDQ1760213

Sergei V. Kozyrev, Sergio A. Albeverio

Publication date: 13 November 2012

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

Full work available at URL: https://arxiv.org/abs/1105.1506

zbMATH Keywords

automorphisms of trees\(p\)-adic wavelets\(p\)-adic pseudodifferential operator

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Pseudodifferential operators as generalizations of partial differential operators (35S05) Operator theory over fields other than (mathbb{R}), (mathbb{C}) or the quaternions; non-Archimedean operator theory (47S10) Pseudodifferential operators (47G30) Non-Archimedean analysis (26E30) Group actions on combinatorial structures (05E18)

Related Items (5)

\(p\)-adic mathematical physics: the first 30 years ⋮ Heat equations and wavelets on Mumford curves and their finite quotients ⋮ Multidimensional \(p\)-adic wavelets for the deformed metric ⋮ Genetic code and deformation of the 2-dimensional 2-adic metric ⋮ Многомерная $p$-адическая метрика и генетический код

Cites Work

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• On \(p\)-adic mathematical physics
• Multidimensional basis of \(p\)-adic wavelets and representation theory
• Classification of irreducible representations of groups of automorphisms of Bruhat-Tits trees
• Wavelets on ultrametric spaces
• \(p\)-adic pseudodifferential operators and \(p\)-adic wavelets
• ON COMBINATORIAL ANALOGS OF THE GROUP OF DIFFEOMORPHISMS OF THE CIRCLE
• Wavelet theory as $ p$-adic spectral analysis
• Pseudodifferential operators on ultrametric spaces and ultrametric wavelets

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