N-Valid trees in wavelet theory on Vilenkin groups

DOI10.1142/S021969131550037XzbMath1329.42037arXiv1412.3096OpenAlexW2963715972MaRDI QIDQ3451223

G. S. Berdnikov, S. F. Lukomskii

Publication date: 10 November 2015

Published in: International Journal of Wavelets, Multiresolution and Information Processing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.3096

zbMATH Keywords

multiresolution analysistreesVilenkin groupsorthogonal wavelet bases

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Analysis on specific locally compact and other abelian groups (43A70)

Related Items

How to construct wavelets on local fields of positive characteristic, Discrete orthogonal and Riesz refinable functions on local fields of positive characteristic, On the orthogonality of a system of shifts of the scaling function on Vilenkin groups, Wavelet frames related to Walsh functions, On \(p\)-adic tight wavelet frames, Step wavelets on Vilenkin groups, Non-Haar MRA on local fields of positive characteristic, Necessary and Sufficient Condition for an Orthogonal Scaling Function on Vilenkin Groups

Cites Work

• Step refinable functions and orthogonal MRA on Vilenkin groups
• \(p\)-adic refinable functions and MRA-based wavelets
• Estimates of the smoothness of dyadic orthogonal wavelets of Daubechies type
• Fractal multiwavelets related to the Cantor dyadic group
• \(p\)-adic multiresolution analysis and wavelet frames
• Orthogonal Wavelets on the Cantor Dyadic Group