Compactly supported orthogonal symmetric scaling functions

zbMath0976.42021MaRDI QIDQ1817740

Yang Wang, Eugene Belogay

Publication date: 8 February 2000

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

zbMATH Keywords

waveletsorthogonal scaling functionsymmetric scaling function

Mathematics Subject Classification ID

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

Related Items (16)

A family of orthonormal wavelet bases with dilation factor 4 ⋮ Wavelet bases with a general integer dilation factor \(d\geqslant 2\) and better regularity properties ⋮ The \(M\)-band cardinal orthogonal scaling function ⋮ Totally positive refinable functions with general dilation \(M\) ⋮ Some compactly supported Riesz wavelets associated to any Ed(2)(ℤ) dilation ⋮ An algebraic characterization of B-splines ⋮ Total positivity and refinable functions with general dilation ⋮ On construction of multivariate symmetric MRA-based wavelets ⋮ \(M\)-band Burt-Adelson biorthogonal wavelets ⋮ On symmetric compactly supported wavelets with vanishing moments associated to \(E_d^{(2)}(\mathbb{Z})\) dilations ⋮ Compactly supported Parseval framelets with symmetry associated to \(E_d^{(2)}(\mathbb{Z})\) matrices ⋮ Compactly supported orthonormal complex wavelets with dilation 4 and symmetry ⋮ The existence of subspace wavelet sets ⋮ Multivariate refinable interpolating functions ⋮ \(M\)-band scaling functions with minimal support are asymmetric ⋮ Parameterization and algebraic structure of 3-band orthogonal wavelet systems.

Cites Work

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• Bounded semigroups of matrices
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• Construction of compact \(p\)-wavelets
• Orthonormal bases of compactly supported wavelets
• Two-Scale Difference Equations. I. Existence and Global Regularity of Solutions
• Ten Lectures on Wavelets
• Two-Scale Difference Equations II. Local Regularity, Infinite Products of Matrices and Fractals
• Multiresolution Approximations and Wavelet Orthonormal Bases of L 2 (R)
• Characterizations of Scaling Functions: Continuous Solutions
• Rank M Wavelets with N Vanishing Moments
• Theory of regular M-band wavelet bases

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