TIGHT WAVELET FRAMES GENERATED BY THE WALSH POLYNOMIALS

DOI10.1142/S0219691313500422zbMath1288.42013OpenAlexW2170342375MaRDI QIDQ2867966

Firdous Ahmad Shah

Publication date: 23 December 2013

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

Full work available at URL: https://doi.org/10.1142/s0219691313500422

zbMATH Keywords

tight framesWalsh-Fourier transformextension principlesWalsh polynomialp-refinable function

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) General harmonic expansions, frames (42C15) Analysis on specific locally compact and other abelian groups (43A70)

Related Items

Wavelet frames on Vilenkin groups and their approximation properties ⋮ A characterization of tight wavelet frames on local fields of positive characteristic ⋮ Construction of periodic wavelet frames generated by the Walsh polynomials ⋮ Wavelets centered on a knot sequence: theory, construction, and applications ⋮ 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 \(L^2(\mathbb{R}^+)\)

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