\(p\)-adic integral operators in wavelet bases

DOI10.1134/S1064562411020220zbMath1250.42093MaRDI QIDQ656288

Sergei V. Kozyrev, Andrei Yu. Khrennikov

Publication date: 17 January 2012

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

\(p\)-adic waveletsfiltration-preserving integral operators

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Integral operators (47G10)

Related Items (9)

Application of \(p\)-adic wavelets to model reaction-diffusion dynamics in random porous media ⋮ \(p\)-adic mathematical physics: the first 30 years ⋮ Generalized multiresolution structures in reducing subspaces of local fields ⋮ Vector valued nonuniform nonstationary wavelets and associated MRA on local fields ⋮ Measure-free viewpoint on \(p\)-adic and adelic wavelets ⋮ Construction of nonuniform wavelet frames on non-Archimedean fields ⋮ \(p\)-adic wavelets and their applications ⋮ Step refinable functions and orthogonal MRA on Vilenkin groups ⋮ Multiresolution analysis through low-pass filter on local fields of positive characteristic

Cites Work

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• Multidimensional ultrametric pseudodifferential equations
• Fast wavelet transforms and numerical algorithms I
• Application ofp-adic analysis to models of breaking of replica symmetry
• p-Adic Models of Turbulence

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