Construction of nonseparable dual \(\varOmega \)-wavelet frames in \(L^2(\mathbb R^s)\)
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Publication:1039675
DOI10.1016/J.AMC.2009.08.008zbMath1183.65180OpenAlexW2080727196MaRDI QIDQ1039675
Publication date: 23 November 2009
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2009.08.008
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Numerical methods for wavelets (65T60)
Related Items (3)
Construction of nonseparable orthonormal compactly supported wavelet bases for \(L^2(\mathbb R^d)\) ⋮ Bessel multiwavelet sequences and dual multiframelets in Sobolev spaces ⋮ Construction of two-direction tight wavelet frames
Cites Work
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- Characterization of Sobolev spaces of arbitrary smoothness using nonstationary tight wavelet frames
- Wavelet bi-frames with few generators from multivariate refinable functions
- Dual wavelet frames and Riesz bases in Sobolev spaces
- On dual wavelet tight frames
- Affine systems in \(L_2(\mathbb{R}^d)\). II: Dual systems
- Vector cascade algorithms and refinable function vectors in Sobolev spaces
- Compactly supported tight frames associated with refinable functions
- Compactly supported tight wavelet frames and orthonormal wavelets of exponential decay with a general dilation matrix
- Framelets: MRA-based constructions of wavelet frames
- Construction of symmetric orthogonal bases of wavelets and tight wavelet frames with integer dilation factor
- Symmetric wavelet tight frames with two generators
- A characterization of affine dual frames in \(L^2(\mathbb{R}^n)\)
- Non-separable bidimensional wavelet bases
- Two-direction refinable functions and two-direction wavelets with dilation factor \(m\)
- On multivariate compactly supported bi-frames
- Two-direction refinable functions and two-direction wavelets with high approximation order and regularity
- Solutions in Sobolev spaces of vector refinement equations with a general dilation matrix
- Dual multiwavelet frames with high balancing order and compact fast frame transform
- Compactly Supported Symmetric $C^\infty$ Wavelets with Spectral Approximation Order
- Ten Lectures on Wavelets
- Multivariate matrix refinable functions with arbitrary matrix dilation
- Arbitrarily Smooth Orthogonal Nonseparable Wavelets in $\R^2$
- Computing the Smoothness Exponent of a Symmetric Multivariate Refinable Function
- Some methods for constructing nonseparable, orthonormal, compactly supported wavelet bases
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