How to construct wavelets on local fields of positive characteristic

DOI10.1134/S1995080217040047zbMath1378.42020arXiv1702.01246OpenAlexW2595856491MaRDI QIDQ2404800

Iu. Kruss, S. F. Lukomskii, G. S. Berdnikov

Publication date: 20 September 2017

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.01246

zbMATH Keywords

waveletsmultiresolution analysislocal fieldscaling function

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Class field theory; (p)-adic formal groups (11S31)

Cites Work

• Biorthogonal wavelets on local fields of positive characteristic
• Wavelet packets and wavelet frame packets on local fields of positive characteristic
• Step refinable functions and orthogonal MRA on Vilenkin groups
• Non-Haar MRA on local fields of positive characteristic
• Multiresolution analysis on local fields
• On the orthogonality of a system of shifts of the scaling function on Vilenkin groups
• The necessary condition and sufficient conditions for wavelet frame on local fields
• Orthogonal wavelets on direct products of cyclic groups
• Characterization of wavelets and MRA wavelets on local fields of positive characteristic
• Multiresolution analysis on local fields and characterization of scaling functions
• Orthogonal wavelets with compact support on locally compact Abelian groups
• N-Valid trees in wavelet theory on Vilenkin groups
• On orthogonal systems of shifts of scaling function on local fields of positive characteristic
• Approximation by dyadic wavelets
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