Two Banach spaces of atoms for stable wavelet frame expansions

DOI10.1016/j.jat.2006.10.001zbMath1135.42336OpenAlexW1971216492MaRDI QIDQ885267

Hans G. Feichtinger, Xing-Wei Zhou, Wen-chang Sun

Publication date: 8 June 2007

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2006.10.001

zbMATH Keywords

stabilitywavelet framesirregular wavelet framesaffine Wiener amalgam spaces

Mathematics Subject Classification ID

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

Related Items (13)

Homogeneous approximation property for wavelet frames ⋮ Homogeneous Approximation Property for Multivariate Continuous Wavelet Transforms ⋮ Frames in generalized Fock spaces ⋮ Convergence of wavelet frame operators as the sampling density tends to infinity ⋮ Convergence of sequences of Calderón‐Zygmund operators with application to wavelet expansions ⋮ Convergence of Riemannian sums of inverse wavelet transforms ⋮ Homogeneous approximation property for wavelet frames with matrix dilations ⋮ Inequalities for Wavelet Frames ⋮ Homogeneous approximation property for continuous wavelet transforms ⋮ Vanishing moment conditions for wavelet atoms in higher dimensions ⋮ Inversion of the wavelet transform using Riemannian sums ⋮ Necessary conditions and sufficient conditions of irregular shearlet frames ⋮ Sufficient Conditions for Irregular Wavelet Frames

Cites Work

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• Banach spaces related to integrable group representations and their atomic decompositions. I
• Describing functions: Atomic decompositions versus frames
• The theory of multiresolution analysis frames and applications to filter banks
• Affine systems in \(L_ 2(\mathbb{R}^d)\): The analysis of the analysis operator
• Stability theorems for Fourier frames and wavelet Riesz bases
• A class of irregular wavelet frames
• Differentiation and the Balian-Low theorem
• Translational averaging for completeness, characterization and oversampling of wavelets.
• Density of weighted wavelet frames
• Density and stability of wavelet frames
• Irregular wavelet frames
• Foundations of time-frequency analysis
• Irregular sampling of wavelet and short-time Fourier transforms
• Irregular wavelet/Gabor frames
• On the stability of frames and Riesz bases
• Frames, Riesz bases, and discrete Gabor/wavelet expansions
• The wavelet transform, time-frequency localization and signal analysis
• Ten Lectures on Wavelets
• Inequalities of Littlewood–Paley Type for Frames and Wavelets
• Frames, bases and group representations
• Continuous and Discrete Wavelet Transforms
• Density of irregular wavelet frames
• A Paley-Wiener Theorem for Frames
• An introduction to frames and Riesz bases
• Orthonormal wavelets and tight frames with arbitrary real dilations
• Completeness of orthonormal wavelet systems for arbitrary real dilations

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