Density order of Parseval wavelet frames from extension principles
DOI10.1016/j.jat.2021.105617zbMath1481.42041OpenAlexW3179481791MaRDI QIDQ822727
Publication date: 23 September 2021
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10045/116957
Fourier transformextension principlesParseval wavelet frame\(A\)-approximate continuityapproximation and densityquasi-projection operator
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Multidimensional problems (41A63) General harmonic expansions, frames (42C15) Rate of convergence, degree of approximation (41A25) Approximation by arbitrary linear expressions (41A45)
Cites Work
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- Multivariate wavelet frames
- Nonhomogeneous wavelet systems in high dimensions
- On the density order of the principal shift-invariant subspaces of \(L^2(\mathbb R^d)\)
- Approximation by frame-like wavelet systems
- Pairs of frequency-based nonhomogeneous dual wavelet frames in the distribution space
- Quasi-interpolation in the Fourier algebra
- Differentiation of real functions
- The theory of multiresolution analysis frames and applications to filter banks
- Regularity of multivariate refinable functions
- Affine systems in \(L_ 2(\mathbb{R}^d)\): The analysis of the analysis operator
- The spectral function of shift-invariant spaces
- Stability implies convergence of cascade algorithms in Sobolev space
- Framelets and wavelets. Algorithms, analysis, and applications
- Approximation with scaled shift-invariant spaces by means of quasi-projection operators
- Compactly supported tight and sibling frames with maximum vanishing moments
- Framelets: MRA-based constructions of wavelet frames
- Order of linear approximation from shift-invariant spaces
- Extension principles for affine dual frames in reducing subspaces
- Affine dual frames and extension principles
- Approximation by quasi-projection operators in Besov spaces
- Quasi-projection operators in weighted \(L_p\) spaces
- Characterization of scaling functions in a multiresolution analysis
- Compactly Supported Symmetric $C^\infty$ Wavelets with Spectral Approximation Order
- Multiresolution analysis. Haar bases, and self-similar tilings of R/sup n/
- Ten Lectures on Wavelets
- Approximation from Shift-Invariant Subspaces of L 2 (ℝ d )
- Approximation properties of multivariate wavelets
- On Parseval Wavelet Frames via Multiresolution Analyses in
- Anisotropic dilations of shift-invariant subspaces and approximation properties in L2(Rd)
- An introduction to frames and Riesz bases
- Approximation properties and construction of Hermite interpolants and biorthogonal multiwavelets
- Approximation orders of FSI spaces in \(L_2(\mathbb{R}^d)\)
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