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

DOI10.1090/S0002-9939-97-03876-8zbMath0887.42023MaRDI QIDQ4356694

Di-Rong Chen

Publication date: 1 October 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

multiresolution analysisscaling functionwavelet basisscaling matrixHouseholder matrix

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Multidimensional problems (41A63)

Related Items (3)

Bases of translates and multiresolution analyses ⋮ Existence of multiwavelets in ℝⁿ ⋮ On linear independence of integer translates of refinable vectors

Cites Work

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• Using the refinement equation for the construction of pre-wavelets. V: Extensibility of trigonometric polynomials
• Wavelets and pre-wavelets in low dimensions
• On the construction of multivariate (pre)wavelets
• Construction of real-valued wavelets by symmetry
• Construction of real-valued multivariate wavelets
• Weakly Differentiable Functions
• Multiresolution and wavelets

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