Irregular wavelet frames

DOI10.1007/BF02876037zbMath1038.42039OpenAlexW2026874440MaRDI QIDQ1425447

Wen-chang Sun, Xing-Wei Zhou

Publication date: 21 March 2004

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02876037

zbMATH Keywords

stabilityframes waveletsnon-band-limited function

Mathematics Subject Classification ID

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

Related Items (19)

Wavelets on irregular grids with arbitrary dilation matrices and frame atoms for \(L^2(\mathbb R{^d})\) ⋮ Nonuniform wavelet frames in L²(ℝ) ⋮ Sufficient conditions and stability of wavelet superframes ⋮ Homogeneous approximation property for wavelet frames ⋮ Homogeneous Approximation Property for Multivariate Continuous Wavelet Transforms ⋮ Density of irregular wavelet frames ⋮ Density of wavelet frames ⋮ A note on irregular wavelet frames ⋮ Two Banach spaces of atoms for stable wavelet frame expansions ⋮ Frames in generalized Fock spaces ⋮ Density and stability of wavelet frames ⋮ An extension of the Chui--Shi frame condition to nonuniform affine operations ⋮ Stability of wavelet frames with matrix dilations ⋮ Convergence of Riemannian sums of inverse wavelet transforms ⋮ Inequalities for Wavelet Frames ⋮ Homogeneous approximation property for continuous wavelet transforms ⋮ Inversion of the wavelet transform using Riemannian sums ⋮ Sufficient Conditions for Irregular Wavelet Frames ⋮ Irregular wavelet/Gabor frames

Cites Work

• A class of irregular wavelet frames
• 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

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