Periodic wavelets on the \(p\)-adic Vilenkin group

DOI10.1134/S2070046611040030zbMath1256.42049MaRDI QIDQ1760291

Yuri A. Farkov

Publication date: 13 November 2012

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

zbMATH Keywords

Walsh functionsDirichlet kernelVilenkin groupsperiodic waveletsCantor dyadic groupdiscrete Vilenkin-Chrestenson transformmultiresolution analusis

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Numerical methods for wavelets (65T60) Numerical methods for discrete and fast Fourier transforms (65T50) Analysis on specific locally compact and other abelian groups (43A70)

Related Items (5)

Periodic Wavelet Frames on Local Fields of Positive Characteristic ⋮ Periodic dyadic wavelets and coding of fractal functions ⋮ Discrete wavelet transforms in Walsh analysis ⋮ Dualwavelet frames in Sobolev spaces on local fields of positive characteristic ⋮ Multiresolution analysis through low-pass filter on local fields of positive characteristic

Cites Work

• Discrete wavelets and the Vilenkin-Chrestenson transform
• Algorithms for wavelet construction on Vilenkin groups
• On trigonometric wavelets
• ON BIORTHOGONAL WAVELETS RELATED TO THE WALSH FUNCTIONS
• Wavelets based on orthogonal polynomials
• Orthogonal Wavelets on the Cantor Dyadic Group
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