On the translation invariance of wavelet subspaces

DOI10.1007/BF02511546zbMath0960.42015arXivmath/9909133MaRDI QIDQ1588375

Eric S. Weber

Publication date: 7 May 2001

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9909133

zbMATH Keywords

waveletstranslation invariancegeneralized multiresolution analysiscore space

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Linear operators in algebras (47C05)

Related Items

Tight frame oversampling and its equivalence to shift-invariance of affine frame operators ⋮ Invariance of a shift-invariant space ⋮ Principal shift-invariant spaces with extra invariance nearest to observed data ⋮ Wavelet subspaces invariant under groups of translation operators ⋮ Probability measures on solenoids corresponding to fractal wavelets ⋮ Uncertainty principles and Balian-Low type theorems in principal shift-invariant spaces ⋮ Uncertainty principles in finitely generated shift-invariant spaces with additional invariance ⋮ Dimension functions of rationally dilated GMRAs and wavelets

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