A family of orthonormal wavelet bases with dilation factor 4

DOI10.1016/J.JMAA.2005.06.043zbMath1084.42024OpenAlexW2009422148MaRDI QIDQ820024

Abderrazek Karoui

Publication date: 6 April 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.06.043

zbMATH Keywords

Hölder regularityorthonormal scaling functionorthonormal wavelet basesstability of wavelet bases

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40)

Related Items (2)

Wavelet bases with a general integer dilation factor \(d\geqslant 2\) and better regularity properties ⋮ Hermite-like interpolating refinable function vector and its application in signal recovering

Cites Work

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• Ten Lectures on Wavelets
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• Two-Scale Difference Equations II. Local Regularity, Infinite Products of Matrices and Fractals
• Biorthogonal bases of compactly supported wavelets
• Asymptotic Regularity of Compactly Supported Wavelets
• An algorithm for matrix extension and wavelet construction
• \(L_p\) solutions of refinement equations

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