On Accuracy of Estimation of the Number of Steps for the Algorithm for Construction of Scaling Function on Local Fields

DOI10.18500/1816-9791-2015-15-3-279-287zbMath1331.42031OpenAlexW3094111705MaRDI QIDQ5890496

Iu. Kruss

Publication date: 7 March 2016

Published in: Izvestiya of Saratov University. New Series. Series: Mathematics. Mechanics. Informatics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.18500/1816-9791-2015-15-3-279-287

zbMATH Keywords

multiresolution analysisscaling functionlocal fields of positive characteristics

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Cites Work

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• 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
• 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
• Multiresolution analysis on local fields and characterization of scaling functions
• Orthogonal wavelets with compact support on locally compact Abelian groups
• Fourier Analysis on Local Fields. (MN-15)
• Approximation by dyadic wavelets

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