Spaces of dyadic distributions

DOI10.1134/S0016266320040048zbMath1481.46034OpenAlexW3172933375MaRDI QIDQ2038439

M. A. Karapetyants, Vladimir Yu. Protasov

Publication date: 7 July 2021

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0016266320040048

zbMATH Keywords

waveletsdistributionsWalsh functionsWalsh-Fourier transformrefinement equationsdyadic half-line

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

Related Items (3)

Harmonic analysis on the space of \(M\)-positive vectors ⋮ On the distribution of a random power series on the dyadic half-line ⋮ Step wavelets on Vilenkin groups

Cites Work

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• On the orthogonality of a system of shifts of the scaling function on Vilenkin groups
• Estimates of the smoothness of dyadic orthogonal wavelets of Daubechies type
• Fractal multiwavelets related to the Cantor dyadic group
• Orthogonal wavelets with compact support on locally compact Abelian groups
• Dyadic distributions
• Ten Lectures on Wavelets
• Fourier Analysis on Local Fields. (MN-15)
• Subdivision schemes on the dyadic half-line
• Distributions sur un groupe localement compact et applications à l'étude des représentations des groupes $p$-adiques

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