A decay theorem for refinable functions

DOI10.1016/0893-9659(94)90001-9zbMath0851.42027OpenAlexW2040676084MaRDI QIDQ1334812

Ying Huang, Ingrid Daubechies

Publication date: 22 September 1994

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0893-9659(94)90001-9

zbMATH Keywords

waveletsrefinable functionrefinement equationexponential decay

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15)

Related Items (9)

Solutions of multiple vector refinement equations with infinite mask ⋮ Convergence and error estimate of cascade algorithms with infinitely supported masks in \(L_p(\mathbb R^s)\) ⋮ Vector cascade algorithms with infinitely supported masks in weighted \(L_2\)-spaces ⋮ WAVELET TRANSFORMS GENERATED BY SPLINES ⋮ Vector refinement equations with infinitely supported masks ⋮ Subdivisions with infinitely supported mask ⋮ Smoothness of multivariate refinable functions with infinitely supported masks ⋮ Regularity of refinable functions with exponentially decaying masks ⋮ Interpolatory subdivision schemes with infinite masks originated from splines

Cites Work

• Unnamed Item
• Wavelets with exponential localization
• Phase space localization theorem for ondelettes
• Orthonormal bases of compactly supported wavelets
• Ten Lectures on Wavelets
• The discrete wavelet transform: wedding the a trous and Mallat algorithms
• Multiresolution Approximations and Wavelet Orthonormal Bases of L 2 (R)

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