Solutions of multiple vector refinement equations with infinite mask

DOI10.1007/s11766-009-1924-7zbMath1199.42150OpenAlexW2000288182MaRDI QIDQ846808

Na Li, Zhi Song Liu

Publication date: 12 February 2010

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-009-1924-7

zbMATH Keywords

refinement equationmultiple refinable functionrefinement mask

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Spline approximation (41A15)

Cites Work

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• A new technique to estimate the regularity of refinable functions
• Biorthogonal multiple wavelets generated by vector refinement equation
• Multivariate Refinement Equations and Convergence of Subdivision Schemes
• Vector subdivision schemes and multiple wavelets
• Convergence of cascade algorithms associated with nonhomogeneous refinement equations

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