Measure-free viewpoint on \(p\)-adic and adelic wavelets

DOI10.1134/S2070046613030035zbMath1291.42029OpenAlexW2028996315MaRDI QIDQ2440380

Andrei Yu. Khrennikov, Vladimir Shelkovich, Jan Harm van der Walt

Publication date: 18 March 2014

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

Full work available at URL: https://doi.org/10.1134/s2070046613030035

zbMATH Keywords

\(p\)-adic and adelic multiresolution analysisoperational multiresolution analysispositive wavelets

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40)

Related Items (3)

Heat equations and wavelets on Mumford curves and their finite quotients ⋮ On infinitesimal generators and Feynman–Kac integrals of adelic diffusion ⋮ Multiresolution analysis through low-pass filter on local fields of positive characteristic

Cites Work

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• \(p\)-adic orthogonal wavelet bases
• Non-Haar \(p\)-adic wavelets and their application to pseudo-differential operators and equations
• Wavelet analysis on adeles and pseudo-differential operators
• \(p\)-adic multiresolution analysis and wavelet frames
• Wavelets on ultrametric spaces
• Almost σ-Dedekind Complete Riesz Spaces and the Main Inclusion Theorem
• Pseudodifferential operators on ultrametric spaces and ultrametric wavelets

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