Riesz multiresolution analysis on Vilenkin groups

DOI10.1134/S1064562414040061zbMath1307.42034MaRDI QIDQ483646

S. F. Lukomskii

Publication date: 17 December 2014

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

zbMATH Keywords

waveletsRiesz basismultiresolution analysisVilenkin groups

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

Related Items (2)

Non-Haar MRA on local fields of positive characteristic ⋮ Necessary and Sufficient Condition for an Orthogonal Scaling Function on Vilenkin Groups

Cites Work

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• Biorthogonal wavelets on local fields of positive characteristic
• Step refinable functions and orthogonal MRA on Vilenkin groups
• Orthogonal wavelets on direct products of cyclic groups
• \(p\)-adic refinable functions and MRA-based wavelets
• \(p\)-adic nonorthogonal wavelet bases
• \(p\)-adic multiresolution analysis and wavelet frames
• Orthogonal wavelets with compact support on locally compact Abelian groups
• Biorthogonal dyadic wavelets on $ \mathbb R_+$
• Orthogonal Wavelets on the Cantor Dyadic Group
• Multiresolution analysis on zero-dimensional Abelian groups and wavelets bases
• Approximation by dyadic wavelets

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