A note on the construction of nonseparable wavelet bases and multiwavelet matrix filters of 𝐿²(ℝⁿ), where 𝕟≥2

DOI10.1090/S1079-6762-03-00109-4zbMath1020.65110OpenAlexW1556061442MaRDI QIDQ4708804

Abderrazek Karoui

Publication date: 19 June 2003

Published in: Electronic Research Announcements of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/224106

zbMATH Keywords

stabilityrefinement equationmultiwavelet basesmultidimensional wavelet bases

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Numerical methods for wavelets (65T60)

Related Items (5)

Construction of nonseparable orthonormal compactly supported wavelet bases for \(L^2(\mathbb R^d)\) ⋮ A family of nonseparable scaling functions and compactly supported tight framelets ⋮ A general construction of nonseparable multivariate orthonormal wavelet bases ⋮ On symmetric compactly supported wavelets with vanishing moments associated to \(E_d^{(2)}(\mathbb{Z})\) dilations ⋮ A FAMILY OF NONSEPARABLE SMOOTH COMPACTLY SUPPORTED WAVELETS

Cites Work

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• A general construction of nonseparable multivariate orthonormal wavelet bases
• Construction of non separable dyadic compactly supported orthonormal wavelet bases for \(L^2(\mathbb{R}^2)\) of arbitrarily high regularity
• A technique for the construction of compactly supported biorthogonal wavelets of \(L^2(R^n), n\geq 2\)
• Stability and Orthonormality of Multivariate Refinable Functions
• Refinable Function Vectors
• Multivariate Compactly Supported Fundamental Refinable Functions, Duals, and Biorthogonal Wavelets

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