WAVELETS ASSOCIATED WITH NONUNIFORM MULTIRESOLUTION ANALYSIS ON POSITIVE HALF-LINE

DOI10.1142/S021969131250018XzbMath1253.42037OpenAlexW1972918357MaRDI QIDQ2911904

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Publication date: 3 September 2012

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/s021969131250018x

zbMATH Keywords

Walsh-Fourier transformscaling functionnonuniform multiresolution analysis\(p\)\,-wavelets

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) General harmonic expansions, frames (42C15) Lacunary series of trigonometric and other functions; Riesz products (42A55) Analysis on specific locally compact and other abelian groups (43A70)

Related Items (11)

A Characterization of (Weak) Nonhomogeneous Wavelet Dual Frames and Mixed Oblique Principle in Sobolev Spaces on the Half Real Line ⋮ A survey on the time-frequency analysis on the half real line ⋮ Vector-Valued Nonuniform Wavelet Packets ⋮ Wavelets associated with vector-valued nonuniform multiresolution analysis ⋮ WAVELET PACKETS ASSOCIATED WITH NONUNIFORM MULTIRESOLUTION ANALYSIS ON POSITIVE HALF LINE ⋮ Construction and Properties of Haar-Vilenkin Wavelets ⋮ Minimum-energy wavelet frames generated by the Walsh polynomials ⋮ Nonuniform biorthogonal wavelets on positive half line via Walsh Fourier transform ⋮ Certain Areas of Industrial and Applied Mathematics ⋮ A special type of multiresolution analysis ⋮ TIGHT WAVELET FRAMES GENERATED BY THE WALSH POLYNOMIALS

Cites Work

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• Nonuniform multiresolution analyses and spectral pairs
• Fractal multiwavelets related to the Cantor dyadic group
• ON BIORTHOGONAL WAVELETS RELATED TO THE WALSH FUNCTIONS
• CONSTRUCTION OF WAVELET PACKETS ON p-ADIC FIELD
• VECTOR-VALUED WEYL–HEISENBERG WAVELET FRAME
• Ten Lectures on Wavelets
• Orthogonal Wavelets on the Cantor Dyadic Group

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