The limits of refinable functions

DOI10.1090/S0002-9947-01-02668-XzbMath0963.42019OpenAlexW1653526541MaRDI QIDQ2701690

Ding-Xuan Zhou, Gilbert Strang

Publication date: 19 February 2001

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-01-02668-x

zbMATH Keywords

waveletsFourier transformrefinable functionband-limited functioninhomogeneous refinement equationmultiple refinable functionrefinement maskfully refinable function

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Rate of convergence, degree of approximation (41A25)

Related Items (3)

Topological and geometric properties of refinable functions and MRA affine frames ⋮ Band-limited refinable functions for wavelets and framelets ⋮ Inhomogeneous refinement equations with random affine maps

Cites Work

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• Inhomogeneous refinement equations
• Fractal functions and wavelet expansions based on several scaling functions
• Existence of multiple refinable distributions
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• Two-Scale Difference Equations. I. Existence and Global Regularity of Solutions
• Ten Lectures on Wavelets
• Vector subdivision schemes and multiple wavelets
• Approximation from Shift-Invariant Subspaces of L 2 (ℝ d )
• Shift-invariant spaces on the real line
• Approximation by Multiple Refinable Functions
• Smoothness of Multiple Refinable Functions and Multiple Wavelets

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