Fredholm properties of multivariate refinement equations

DOI10.1002/mma.859zbMath1162.65067OpenAlexW2033761064MaRDI QIDQ5433197

Viktor D. Didenko

Publication date: 8 January 2008

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.859

zbMATH Keywords

waveletsuniquenesssolvabilityFredholm propertiesmultivariate refinement equation

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Numerical methods for wavelets (65T60) (Semi-) Fredholm operators; index theories (47A53)

Cites Work

• \(L^2(\mathbb{R})\) solutions of dilation equations and Fourier-like transforms
• A new technique to estimate the regularity of refinable functions

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