M-CHANNEL MRA AND APPLICATION TO ANISOTROPIC SOBOLEV SPACES

DOI10.1142/S0219691305000865zbMath1088.42020OpenAlexW2067218442MaRDI QIDQ5312598

Elena Cordero

Publication date: 1 September 2005

Published in: International Journal of Wavelets, Multiresolution and Information Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219691305000865

zbMATH Keywords

multiresolution analysisanisotropic Sobolev spacebi-orthogonal wavelet basis

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) General harmonic expansions, frames (42C15)

Cites Work

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• Hölder regularity of compactly supported \(p\)-wavelets: \(p=3,4,5\)
• Asymptotic behavior of \(M\)-band scaling functions of Daubechies type
• Regularity of multivariate refinable functions
• Multilevel decompositions of functional spaces
• Biorthogonal \(M\)-channel compactly supported wavelets
• Wavelet characterizations for anisotropic Besov spaces
• Ten Lectures on Wavelets
• Wavelet Methods for Fast Resolution of Elliptic Problems
• Adaptive wavelet methods for elliptic operator equations: Convergence rates

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