Dyadic wavelet frames on a half-line using the Walsh–Fourier transform

DOI10.1080/10652469.2010.520528zbMath1263.42014OpenAlexW2151759691MaRDI QIDQ3092991

Lokenath Debnath, Firdous Ahmad Shah

Publication date: 12 October 2011

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2010.520528

zbMATH Keywords

Walsh-Fourier transformWalsh functionwavelet framedyadic wavelet

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) General harmonic expansions, frames (42C15)

Related Items (11)

Wave packet systems on local fields ⋮ Gabor frames on a half-line ⋮ A characterization of tight wavelet frames on local fields of positive characteristic ⋮ Construction of periodic wavelet frames generated by the Walsh polynomials ⋮ Inequalities for nonuniform wavelet frames ⋮ Fractional wavelet frames in \(L^{2}(\mathbb{R})\) ⋮ Characterization of non-stationary wavelets and non-stationary multiresolution analysis wavelets related to Walsh functions ⋮ Minimum-energy wavelet frames generated by the Walsh polynomials ⋮ Nonhomogeneous dual wavelet frames with the \(p\)-refinable structure in \(L^2(\mathbb{R}^+)\) ⋮ AB-wavelet frames in L2(Rn) ⋮ TIGHT WAVELET FRAMES GENERATED BY THE WALSH POLYNOMIALS

Cites Work

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• Painless nonorthogonal expansions
• Ten Lectures on Wavelets
• Inequalities of Littlewood–Paley Type for Frames and Wavelets
• Weyl-Heisenberg frames for subspaces of $L^2(R)$
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• An introduction to frames and Riesz bases

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