Convergence of wavelet frame operators as the sampling density tends to infinity
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Publication:427079
DOI10.1016/j.acha.2012.02.002zbMath1242.42034OpenAlexW1984868995MaRDI QIDQ427079
Publication date: 13 June 2012
Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.acha.2012.02.002
waveletsconvergence in operator normsinverse wavelet transformRiemann sumsampling densitywavelet frame operator
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Cites Work
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- Convergence of Riemannian sums of inverse wavelet transforms
- Banach spaces related to integrable group representations and their atomic decompositions. I
- Frequency-scale frames and the solution of the Mexican hat problem
- Wavelets in Littlewood-Paley space, and Mexican hat completeness
- Inversion of the wavelet transform using Riemannian sums
- A discrete transform and decompositions of distribution spaces
- On a theorem of Marcinkiewicz concerning interpolation of operations
- Two Banach spaces of atoms for stable wavelet frame expansions
- Harmonic analysis on spaces of homogeneous type. With a preface by Yves Meyer
- Asymptotic properties of Gabor frame operators as sampling density tends to infinity
- On \(L^ p\)-boundedness of affine frame operators
- Inversion of the short-time Fourier transform using Riemannian sums
- Inversion formulas for the short-time Fourier transform
- Sobolev spaces and approximation by affine spanning systems
- Affine systems that span Lebesgue spaces
- Gabor meets Littlewood–Paley: Gabor expansions in Lp(Rd)
- Smooth molecular decompositions of functions and singular integral operators
- Homogeneous approximation property for wavelet frames with matrix dilations
- Classical Fourier Analysis
- Boundedness results for operators with singular kernels on distribution spaces
- Ten Lectures on Wavelets
- BESOV NORMS IN TERMS OF THE CONTINUOUS WAVELET TRANSFORM. APPLICATION TO STRUCTURE FUNCTIONS
- An introduction to frames and Riesz bases
