Translation and dilation invariance in orthogonal wavelets

DOI10.1006/acha.1994.1020zbMath0809.42017OpenAlexW2009011824MaRDI QIDQ1340698

Gilbert G. Walter

Publication date: 18 December 1994

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

Full work available at URL: https://doi.org/10.1006/acha.1994.1020

zbMATH Keywords

multiresolution analysisMeyer waveletsorthogonal waveletsdilation invarianceweak translation invariance

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40)

Related Items (7)

Construction of orthonormal wavelets using Kampé de Fériet functions ⋮ Supports of Fourier transforms of scaling functions ⋮ Geometric structures of frequency domains of band-limited scaling functions and wavelets ⋮ Wavelet subspaces invariant under groups of translation operators ⋮ Measures, densities and diameters of frequency bands of scaling functions and wavelets ⋮ Supports of Fourier transforms of refinable frame functions and their applications to FMRA ⋮ Translation invariance of orthogonal multiresolution analyses of \(L^2(\mathbf R)\)

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