Construction of nonseparable orthonormal compactly supported wavelet bases for \(L^2(\mathbb R^d)\)

DOI10.1007/S11766-012-2834-7zbMath1265.42121OpenAlexW1976088029MaRDI QIDQ1931152

Shouzhi Yang, Jun Hong Lin

Publication date: 24 January 2013

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

Full work available at URL: https://doi.org/10.1007/s11766-012-2834-7

zbMATH Keywords

regularityfilter bankvanishing momentLawton's conditionnonseparable orthonormal wavelet basis

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) General harmonic expansions, frames (42C15)

Cites Work

• A general construction of nonseparable multivariate orthonormal wavelet bases
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• Regularity of multivariate refinable functions
• Construction of compactly supported symmetric and antisymmetric orthonormal wavelets with scale \(=3\)
• The Sobolev regularity of refinable functions
• Orthogonality criteria for compactly supported refinable functions and refinable function vectors
• Non-separable bidimensional wavelet bases
• A note on the design of nonseparable orthonormal wavelet bases of \(L^2\)(\(R^3\))
• Construction of multivariate compactly supported orthonormal wavelets
• Multivariate matrix refinable functions with arbitrary matrix dilation
• Arbitrarily Smooth Orthogonal Nonseparable Wavelets in $\R^2$
• Stability and Orthonormality of Multivariate Refinable Functions
• A note on the construction of nonseparable wavelet bases and multiwavelet matrix filters of 𝐿²(ℝⁿ), where 𝕟≥2
• Multivariate Compactly Supported Fundamental Refinable Functions, Duals, and Biorthogonal Wavelets
• Some methods for constructing nonseparable, orthonormal, compactly supported wavelet bases

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