\(p\)-adic nonorthogonal wavelet bases

DOI10.1134/S0081543809020011zbMath1178.42035OpenAlexW2061186027MaRDI QIDQ1048408

J. Blot

Publication date: 12 January 2010

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543809020011

Mathematics Subject Classification ID

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

Related Items (21)

On biorthogonal \(p\)-adic wavelet bases ⋮ On non-compactly supported \(p\)-adic wavelets ⋮ \(p\)-adic mathematical physics: the first 30 years ⋮ Biorthogonal wavelets on local fields of positive characteristic ⋮ Wavelet analysis on adeles and pseudo-differential operators ⋮ Generalized multiresolution structures in reducing subspaces of local fields ⋮ Vector valued nonuniform nonstationary wavelets and associated MRA on local fields ⋮ Randomness in classical mechanics and Quantum mechanics ⋮ Haar system on the product of groups of \(p\)-adic integers ⋮ Multiresolution analysis on product of zero-dimensional Abelian groups ⋮ Construction of nonuniform wavelet frames on non-Archimedean fields ⋮ Haar system on a product of zero-dimensional compact groups ⋮ On orthogonal \(p\)-adic wavelet bases ⋮ \(p\)-adic wavelets and their applications ⋮ Riesz multiresolution analysis on Vilenkin groups ⋮ Multidimensional \(p\)-adic wavelets for the deformed metric ⋮ Characterization of wavelets and MRA wavelets on local fields of positive characteristic ⋮ Functional stochastic classical mechanics ⋮ Nonuniform multiresolution analysis on local fields of positive characteristic ⋮ Semi-orthogonal Parseval wavelets associated with GMRAs on local fields of positive characteristic ⋮ Unnamed Item

Cites Work

• 2-adic wavelet bases
• \(p\)-adic Haar multiresolution analysis and pseudo-differential operators
• \(p\)-adic refinable functions and MRA-based wavelets
• Non-Haar \(p\)-adic wavelets and their application to pseudo-differential operators and equations
• A wavelet theory for local fields and related groups
• \(p\)-adic pseudodifferential operators and \(p\)-adic wavelets
• Wavelet theory as $ p$-adic spectral analysis
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