Wavelets in subspaces

DOI10.1307/mmj/1029005391zbMath0885.42019OpenAlexW2037562852MaRDI QIDQ1916872

Shijie Lu, Xingde Dai

Publication date: 20 April 1998

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1307/mmj/1029005391

zbMATH Keywords

scaling functionsorthogonal waveletsmultiresolution analysesunitary dilation operators

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Special classes of linear operators (47B99)

Related Items (15)

Frame wavelets in subspaces of $L^2(\mathbb R^d)$ ⋮ Wavelet sets in \(\mathbb{R}^ n\) ⋮ Closure of dilates of shift-invariant subspaces ⋮ Wavelet frames for (not necessarily reducing) affine subspaces. II: The structure of affine subspaces ⋮ Unnamed Item ⋮ Orthonormal dilations of parseval wavelets ⋮ \((p,Y)\)-operator frames for a Banach space ⋮ Intrinsic \(s\)-elementary Parseval frame multiwavelets in \(L^2(\mathbb R^d)\) ⋮ Subspaces with normalized tight frame wavelets in ℝ ⋮ Frame wavelet sets in \({\mathbb{R}}^{d}\) ⋮ The existence of subspace wavelet sets ⋮ Unitary mappings between multiresolution analyses of \(L^2(R)\) and a parametrization of low-pass filters ⋮ Wavelet frames for (not necessarily reducing) affine subspaces ⋮ On multiresolution analysis (MRA) wavelets in \(\mathbb{R}^n\) ⋮ Interpolation operators associated with sub-frame sets

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