Local dual and poly-scale refinability

DOI10.1090/S0002-9939-04-07622-1zbMath1055.42028MaRDI QIDQ3155950

Qiyu Sun

Publication date: 5 January 2005

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

zbMATH Keywords

linear independent shiftslocal dualpoly-scale refinement equation

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (3)

Inhomogeneous poly-scale refinement type equations and Markov operators with perturbations ⋮ Topological and geometric properties of refinable functions and MRA affine frames ⋮ Two-direction poly-scale refinability

Cites Work

• Unnamed Item
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• A necessary and sufficient condition for the linear independence of the integer translates of a compactly supported distribution
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• Compactly supported tight and sibling frames with maximum vanishing moments
• Compactly supported tight affine frames with integer dilations and maximum vanishing moments
• Framelets: MRA-based constructions of wavelet frames
• Ten Lectures on Wavelets
• Global Linear Independence and Finitely Supported Dual Basis
• On linear independence for integer translates of a finite number of functions
• Intertwining Multiresolution Analyses and the Construction of Piecewise-Polynomial Wavelets
• On the Integer Translates of a Compactly Supported Function: Dual Bases and Linear Projectors
• Compactly supported distributional solutions of nonstationary nonhomogeneous refinement equations

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