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Stability of wavelet frames and Riesz bases, with respect to dilations and translations

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Publication:2701588
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DOI10.1090/S0002-9939-00-05660-4zbMath0970.42022MaRDI QIDQ2701588

Jing Zhang

Publication date: 19 February 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)


zbMATH Keywords

stabilityRiesz basisperturbationwaveletframes


Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Approximation by other special function classes (41A30)


Related Items

Perturbation of wavelet and Gabor frames ⋮ Stability of multivariate wave packet frames for \(L^2(\mathbb R^n)\)



Cites Work

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  • Banach spaces related to integrable group representations and their atomic decompositions. I
  • On the stability of wavelet and Gabor frames (Riesz bases)
  • Stability theorems for Fourier frames and wavelet Riesz bases
  • Differentiation and the Balian-Low theorem
  • On the stability of frames and Riesz bases
  • The wavelet transform, time-frequency localization and signal analysis
  • Ten Lectures on Wavelets
  • Inequalities of Littlewood–Paley Type for Frames and Wavelets
  • Perturbations of Banach Frames and Atomic Decompositions
  • Continuous and Discrete Wavelet Transforms
  • Frame Perturbations
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