On the stability of wavelet and Gabor frames (Riesz bases)
type: Item
instance of: scholarly article
title: On the stability of wavelet and Gabor frames (Riesz bases)
zbMATH Open document ID: 0919.42027
DOI: 10.1007/BF01274192
author: Jing Zhang
published in: The Journal of Fourier Analysis and Applications
publication date: 1999-08-15T00:00:00Z
full work available at URL: https://eudml.org/doc/59600
review text: The author considers a wavelet frame or Riesz basis, or a Gabor frame or Riesz basis \(\{\psi_{j, k}\}\) in \(R^n\), and finds conditions under which a perturbation of the generating function \(\psi\) or of the sampling sequence yield a frame or Riesz basis, improving results of \textit{S. J. Favier} and the reviewer [Appl. Comput. Harmon. Anal. 2, No. 2, 160-173 (1995; Zbl 0829.46006)].
Mathematics Subject Classification ID: 42C40
zbMATH DE Number: 1275890
zbMATH Keywords: wavelet frames
zbMATH Keywords: Gabor frames
zbMATH Keywords: Riesz bases
reviewed by: Richard A. Zalik
MaRDI profile type: Publication
cites work: Q4027566
cites work: Differentiation and the Balian-Low theorem
cites work: Q4365111
cites work: Frame Perturbations
cites work: Q4003151
cites work: Perturbations of Banach Frames and Atomic Decompositions
cites work: Bessel sequences and affine frames
cites work: Inequalities of Littlewood–Paley Type for Frames and Wavelets
cites work: Ten Lectures on Wavelets
cites work: The wavelet transform, time-frequency localization and signal analysis
cites work: Painless nonorthogonal expansions
cites work: A Class of Nonharmonic Fourier Series
cites work: On the stability of frames and Riesz bases
cites work: Continuous and Discrete Wavelet Transforms
cites work: Ondelettes et bases hilbertiennes. (Wavelets and Hilbert bases)
cites work: Q5517910
cites work: Q3998117
cites work: Q3955832
Recommended article: Stability theorems for Fourier frames and wavelet Riesz bases
Recommended article: Stability of wavelet frames and Riesz bases, with respect to dilations and translations
Recommended article: On the stability of Gabor frames
Recommended article: Q3836458
Recommended article: Q3073207
Recommended article: Remarks on the article ``On the stability of wavelet and Gabor frames (Riesz bases)'' by J. Zhang
Recommended article: Q3609089
Recommended article: On the stability of frames and Riesz bases
Recommended article: Q4827134
Recommended article: Q5423351
description: scientific article; zbMATH DE number 1275890