Discrete wavelets and the Vilenkin-Chrestenson transform

DOI10.1134/S0001434611050282zbMath1238.42017MaRDI QIDQ650511

Yuri A. Farkov

Publication date: 25 November 2011

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Walsh functionsWaveletsCantor groupComplex periodic sequences

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Related Items (7)

Finite Parseval frames in Walsh analysis ⋮ Periodic dyadic wavelets and coding of fractal functions ⋮ Examples of frames on the Cantor dyadic group ⋮ Periodic wavelets on the \(p\)-adic Vilenkin group ⋮ Parseval frames and the discrete Walsh transform ⋮ Discrete wavelet transforms in Walsh analysis ⋮ On biorthogonal discrete wavelet bases

Cites Work

• Orthogonal wavelets on direct products of cyclic groups
• On wavelets related to the Walsh series
• Discrete Fourier Analysis and Wavelets
• An Introduction to Wavelets Through Linear Algebra
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