Frame wavelets with matrix dilations in \(L^2(R^n)\).

DOI10.1016/S0893-9659(04)90097-3zbMath1069.42029OpenAlexW2056806706MaRDI QIDQ1764572

De Yun Yang, Xing-Wei Zhou

Publication date: 25 February 2005

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0893-9659(04)90097-3

zbMATH Keywords

wavelet framesexpansive matrixmatrix dilation

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) General harmonic expansions, frames (42C15)

Related Items

Frame wavelets with compact supports for \(L^2(\mathbb R^n)\)

Cites Work

• Wavelet sets in \(\mathbb{R}^ n\)
• On multiresolution analysis (MRA) wavelets in \(\mathbb{R}^n\)
• Characterization of general tight wavelet frames with matrix dilations and tightness preserving oversampling
• Frame wavelet sets in \({\mathbb{R}}^{d}\)
• A characterization of affine dual frames in \(L^2(\mathbb{R}^n)\)
• Frame wavelet sets in $\mathbb {R}$
• Inequalities on Matrix-Dilated Littlewood--Paley EnergyFunctions and Oversampled Affine Operators
• Inequalities of Littlewood–Paley Type for Frames and Wavelets
• An introduction to frames and Riesz bases
• Orthonormal wavelets and tight frames with arbitrary real dilations
• A characterization of wavelets on general lattices.