On stability and orthogonality of refinable functions

DOI10.1016/j.acha.2006.01.003zbMath1101.42015OpenAlexW2051362251MaRDI QIDQ849685

Sandra Saliani

Publication date: 31 October 2006

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.acha.2006.01.003

zbMATH Keywords

Riesz basiswaveletrefinable functionlow-pass filter

Mathematics Subject Classification ID

Filtering in stochastic control theory (93E11) General harmonic expansions, frames (42C15)

Related Items (1)

On stable refinable function vectors with arbitrary support

Cites Work

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• Ondelettes, analyses multirésolutions et filtres miroirs en quadrature. (Wavelets, multiscale analysis and quadrature mirror filters)
• Orthogonality criteria for multi-scaling functions
• Orthogonality criteria for compactly supported scaling functions
• Low-pass filters, martingales, and multiresolution analyses
• Compactly supported wavelets through the classical umbral calculus
• Tight frames of compactly supported affine wavelets
• Necessary and sufficient conditions for constructing orthonormal wavelet bases
• Biorthogonal bases of compactly supported wavelets
• Stability and Orthonormality of Multivariate Refinable Functions
• Fonctions harmoniques pour un opérateur de transition et applications

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