On symmetric compactly supported wavelets with vanishing moments associated to \(E_d^{(2)}(\mathbb{Z})\) dilations
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Publication:2007440
DOI10.1007/s00041-020-09782-2zbMath1454.42033OpenAlexW3085660779MaRDI QIDQ2007440
M. L. Arenas, Angel San Antolin
Publication date: 14 October 2020
Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00041-020-09782-2
Fourier transformdilation matrixvanishing momentssymmetric scaling functionantisymmetric orthonormal wavelet
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Fractional derivatives and integrals (26A33)
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Cites Work
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- Multivariate wavelet frames
- Construction of bivariate nonseparable compactly supported orthogonal wavelets
- Symmetric orthogonal filters and wavelets with linear-phase moments
- Meyer type wavelet bases in \(\mathbb R^{2}\)
- Symmetry property and construction of wavelets with a general dilation matrix
- Symmetric multivariate orthogonal refinable functions
- Symmetric orthonormal complex wavelets with masks of arbitrarily high linear-phase moments and sum rules
- A general construction of nonseparable multivariate orthonormal wavelet bases
- Symmetric orthonormal scaling functions and wavelets with dilation factor 4
- Ondelettes, analyses multirésolutions et filtres miroirs en quadrature. (Wavelets, multiscale analysis and quadrature mirror filters)
- Construction of non separable dyadic compactly supported orthonormal wavelet bases for \(L^2(\mathbb{R}^2)\) of arbitrarily high regularity
- Construction of compactly supported symmetric and antisymmetric orthonormal wavelets with scale \(=3\)
- Spectral fractorization of Laurent polynomials
- Tight frames of multidimensional wavelets
- Haar type orthonormal wavelet bases in \(R^2\)
- Construction of two-dimensional compactly supported orthogonal wavelets filters with linear phase
- Framelets and wavelets. Algorithms, analysis, and applications
- Wavelets and self-affine tilings
- Compactly supported tight wavelet frames and orthonormal wavelets of exponential decay with a general dilation matrix
- Compactly supported orthogonal symmetric scaling functions
- Framelets: MRA-based constructions of wavelet frames
- Construction of symmetric orthogonal bases of wavelets and tight wavelet frames with integer dilation factor
- Construction of a class of trivariate nonseparable compactly supported wavelets with special dilation matrix
- Matrix splitting with symmetry and symmetric tight framelet filter banks with two high-pass filters
- On construction of multivariate symmetric MRA-based wavelets
- Matrix extension with symmetry and Applications to Symmetric orthonormal complex \(M\)-wavelets
- Non-separable bidimensional wavelet bases
- A note on the design of nonseparable orthonormal wavelet bases of \(L^2\)(\(R^3\))
- Construction of multivariate compactly supported orthonormal wavelets
- Parseval frame wavelets with \(E_{n}^{(2)}\)-dilations
- Some generalized method for constructing nonseparable compactly supported wavelets in $L^2(R^2)$
- Compactly supported multi-wavelets
- Characterization of scaling functions in a multiresolution analysis
- Fast wavelet transforms and numerical algorithms I
- Tight frames of compactly supported affine wavelets
- SYMMETRIC MULTIVARIATE WAVELETS
- Orthonormal bases of compactly supported wavelets
- Multiresolution analysis. Haar bases, and self-similar tilings of R/sup n/
- Ten Lectures on Wavelets
- Multiresolution Approximations and Wavelet Orthonormal Bases of L 2 (R)
- Arbitrarily Smooth Orthogonal Nonseparable Wavelets in $\R^2$
- Computing the Smoothness Exponent of a Symmetric Multivariate Refinable Function
- A note on the construction of nonseparable wavelet bases and multiwavelet matrix filters of 𝐿²(ℝⁿ), where 𝕟≥2
- Families of Orthogonal Two-Dimensional Wavelets
- Some methods for constructing nonseparable, orthonormal, compactly supported wavelet bases
- Self-similar lattice tilings
- The construction of \(r\)-regular wavelets for arbitrary dilations
