Multiresolution properties of the wavelet Galerkin operator

DOI10.1063/1.529300zbMath0733.46004OpenAlexW2068655111MaRDI QIDQ3359196

Wayne M. Lawton

Publication date: 1991

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.529300

zbMATH Keywords

multiresolution analysisorthonormal wavelet basisFourier modulusGalerkin projection operatorsscaling parameter sequence

Mathematics Subject Classification ID

Coherent states (81R30) Numerical solutions to equations with linear operators (65J10) Applications of functional analysis in quantum physics (46N50) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items (4)

Hermite interpolation in loop groups and conjugate quadrature filter approximation ⋮ Infinite convolution products and refinable distributions on Lie groups ⋮ Spline interpolation and wavelet construction ⋮ Isomorphism in wavelets

Cites Work

• Fast wavelet transforms and numerical algorithms I
• Tight frames of compactly supported affine wavelets
• A theory for multiresolution signal decomposition: the wavelet representation
• Orthonormal bases of compactly supported wavelets
• Necessary and sufficient conditions for constructing orthonormal wavelet bases

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