Construction of real-valued multivariate wavelets

DOI10.1007/BF02662866zbMath0836.42020OpenAlexW36326250MaRDI QIDQ1904989

Shaoliang Xiao

Publication date: 29 April 1996

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

Full work available at URL: https://doi.org/10.1007/bf02662866

zbMATH Keywords

multiresolution analysisrefinement equationHouseholder matrixmultivariate waveletsskew-symmetric scaling function

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Spline approximation (41A15)

Related Items (1)

On the existence and constructions of orthonormal wavelets on $L_2(\mathbb R^s)$

Cites Work

• Ondelettes et bases hilbertiennes. (Wavelets and Hilbert bases)
• Using the refinement equation for the construction of pre-wavelets. V: Extensibility of trigonometric polynomials
• A general framework of compactly supported splines and wavelets
• Wavelets and pre-wavelets in low dimensions
• Orthonormal bases of compactly supported wavelets
• Multiresolution Approximations and Wavelet Orthonormal Bases of L 2 (R)
• Multiresolution and wavelets
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