Approximation by frame-like wavelet systems
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Publication:643644
DOI10.1016/j.acha.2011.02.003zbMath1229.42035OpenAlexW2150354445MaRDI QIDQ643644
Maria A. Skopina, Aleksandr Krivoshein
Publication date: 2 November 2011
Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.acha.2011.02.003
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) General harmonic expansions, frames (42C15) Other transformations of harmonic type (42C20)
Related Items (17)
Density order of Parseval wavelet frames from extension principles ⋮ Approximation properties of periodic multivariate quasi-interpolation operators ⋮ Nonuniform sampling and approximation in Sobolev space from perturbation of the framelet system ⋮ Nonuniform wavelet frames in L2(ℝ) ⋮ Wavelet approximation in Orlicz spaces ⋮ Approximation by multivariate Kantorovich-Kotelnikov operators ⋮ Quasi-projection operators in weighted \(L_p\) spaces ⋮ Approximation by periodic multivariate quasi-projection operators ⋮ Symmetric interpolatory dual wavelet frames ⋮ Construction of multivariate frames using the polyphase method ⋮ Band-limited scaling and wavelet expansions ⋮ On construction of multivariate symmetric MRA-based wavelets ⋮ From frame-like wavelets to wavelet frames keeping approximation properties and symmetry ⋮ Differential and falsified sampling expansions ⋮ Quasi-projection operators with applications to differential-difference expansions ⋮ Multiresolution analysis for compactly supported interpolating tensor product wavelets ⋮ Multivariate sampling-type approximation
Cites Work
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- Nonhomogeneous wavelet systems in high dimensions
- Pairs of frequency-based nonhomogeneous dual wavelet frames in the distribution space
- Characterization of Sobolev spaces of arbitrary smoothness using nonstationary tight wavelet frames
- Tight wavelet frames
- Wavelet bi-frames with few generators from multivariate refinable functions
- Dual wavelet frames and Riesz bases in Sobolev spaces
- On construction of multivariate wavelet frames
- The structure of finitely generated shift-invariant spaces in \(L_ 2(\mathbb{R}^ d)\)
- Affine systems in \(L_ 2(\mathbb{R}^d)\): The analysis of the analysis operator
- On dual wavelet tight frames
- Affine systems in \(L_2(\mathbb{R}^d)\). II: Dual systems
- Symmetric MRA tight wavelet frames with three generators and high vanishing moments
- Compactly supported tight wavelet frames and orthonormal wavelets of exponential decay with a general dilation matrix
- Compactly supported tight and sibling frames with maximum vanishing moments
- Framelets: MRA-based constructions of wavelet frames
- Pairs of dual wavelet frames from any two refinable functions
- Order of linear approximation from shift-invariant spaces
- Decompositions of trigonometric polynomials with applications to multivariate subdivision schemes
- On multivariate compactly supported bi-frames
- A framelet-based image inpainting algorithm
- Approximation by quasi-projection operators in Besov spaces
- COMPACTLY SUPPORTED MULTIVARIATE, PAIRS OF DUAL WAVELET FRAMES OBTAINED BY CONVOLUTION
- THE CONSTRUCTION OF MULTIWAVELET BI-FRAMES AND APPLICATIONS TO VARIATIONAL IMAGE DENOISING
- Restoration of Chopped and Nodded Images by Framelets
- SYMMETRIC MULTIVARIATE WAVELETS
- Multivariate Refinement Equations and Convergence of Subdivision Schemes
- Approximation from Shift-Invariant Subspaces of L 2 (ℝ d )
- Compactly supported tight affine spline frames in 𝐿₂(ℝ^{𝕕})
- Computing the Smoothness Exponent of a Symmetric Multivariate Refinable Function
- Interpolatory frames in signal space
- Multivariate Compactly Supported Fundamental Refinable Functions, Duals, and Biorthogonal Wavelets
- Convergence rates of cascade algorithms
- Approximation orders of FSI spaces in \(L_2(\mathbb{R}^d)\)
- Explicit construction of framelets
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