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Wavelet frames with irregular matrix dilations and their stability

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Publication:1876705
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DOI10.1016/j.jmaa.2004.03.007zbMath1050.42029OpenAlexW2029161335MaRDI QIDQ1876705

De Yun Yang, Xing-Wei Zhou

Publication date: 20 August 2004

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.03.007


zbMATH Keywords

Fourier transformwavelet frameexpansive matrix


Mathematics Subject Classification ID

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


Related Items (4)

Frame wavelets with compact supports for \(L^2(\mathbb R^n)\) ⋮ Stability of wavelet frames with matrix dilations ⋮ Homogeneous approximation property for wavelet frames with matrix dilations ⋮ Inequalities for Wavelet Frames



Cites Work

  • Describing functions: Atomic decompositions versus frames
  • On the stability of wavelet and Gabor frames (Riesz bases)
  • Density of weighted wavelet frames
  • Irregular wavelet/Gabor frames
  • On the stability of frames and Riesz bases
  • A characterization of affine dual frames in \(L^2(\mathbb{R}^n)\)
  • Perturbations of Banach Frames and Atomic Decompositions


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