Pairs of frequency-based nonhomogeneous dual wavelet frames in the distribution space
From MaRDI portal
Publication:711049
DOI10.1016/j.acha.2010.01.004zbMath1197.42021arXiv0907.3501OpenAlexW3104705792MaRDI QIDQ711049
Publication date: 25 October 2010
Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0907.3501
oblique extension principlehomogeneous wavelet systemsnonhomogeneous wavelet systemsdual wavelet framesdistribution spacesnonstationary dual wavelet framesreal dilation factors
Related Items
Density order of Parseval wavelet frames from extension principles ⋮ Nonuniform sampling and approximation in Sobolev space from perturbation of the framelet system ⋮ Multirate systems with shortest spline-wavelet filters ⋮ Bell-shaped nonstationary refinable ripplets ⋮ Extension principles for dual multiwavelet frames of \(L_2(\mathbb R^s)\) constructed from multirefinable generators ⋮ Some smooth compactly supported tight wavelet frames with vanishing moments ⋮ Weak nonhomogeneous wavelet dual frames for Walsh reducing subspace of L2(ℝ+) ⋮ Two families of compactly supported Parseval framelets in \(L^2( \mathbb{R}^d)\) ⋮ A characterization of nonhomogeneous wavelet dual frames in Sobolev spaces ⋮ Wavelet approximation in Orlicz spaces ⋮ Some bivariate smooth compactly supported tight framelets with three generators ⋮ Univariate tight wavelet frames of minimal support ⋮ Nonhomogeneous dual wavelet frames and mixed oblique extension principles in Sobolev spaces ⋮ On a class of weak nonhomogeneous affine bi-frames for reducing subspaces of \(L^2(\mathbb R^d)\) ⋮ Wavelet frames in \(L^2(\mathbb{R}^{d})\) ⋮ Nonhomogeneous wavelet systems in high dimensions ⋮ Matrix extension with symmetry and construction of biorthogonal multiwavelets with any integer dilation ⋮ A dual-chain approach for bottom-up construction of wavelet filters with any integer dilation ⋮ Analysis of Framelet Transforms on a Simplex ⋮ Approximation by frame-like wavelet systems ⋮ Nonuniform nonhomogeneous dual wavelet frames in Sobolev spaces in \(L^2(\mathbb{K})\) ⋮ Symmetric orthogonal filters and wavelets with linear-phase moments ⋮ Weak Nonhomogeneous Wavelet Bi-Frames for Reducing Subspaces of Sobolev Spaces ⋮ Characterization of Function Spaces Using Wavelets ⋮ Unnamed Item ⋮ Extension principles for affine dual frames in reducing subspaces ⋮ Algorithms for matrix extension and orthogonal wavelet filter banks over algebraic number fields ⋮ Matrix splitting with symmetry and symmetric tight framelet filter banks with two high-pass filters ⋮ Intrinsic localization of anisotropic frames ⋮ Affine dual frames and extension principles ⋮ On construction of multivariate symmetric MRA-based wavelets ⋮ Symmetric tight framelet filter banks with three high-pass filters ⋮ Continuous wavelet transform of Schwartz distributions ⋮ Tight periodic wavelet frames and approximation orders ⋮ Tight framelets and fast framelet filter bank transforms on manifolds ⋮ Homogeneous wavelets and framelets with the refinable structure ⋮ Some smooth compactly supported tight framelets associated to the quincunx matrix ⋮ Wavelets on intervals derived from arbitrary compactly supported biorthogonal multiwavelets ⋮ Smooth affine shear tight frames with MRA structure ⋮ Directional tensor product complex tight framelets with low redundancy ⋮ Sampling approximation by framelets in Sobolev space and its application in modifying interpolating error ⋮ Characterizations of dual multiwavelet frames of periodic functions ⋮ On Parseval Wavelet Frames via Multiresolution Analyses in ⋮ Nonhomogeneous dual wavelet frames with the \(p\)-refinable structure in \(L^2(\mathbb{R}^+)\) ⋮ Walsh shift-invariant sequences and \(p\)-adic nonhomogeneous dual wavelet frames in \(L^{2}(\mathbb{R}_{+})\) ⋮ A characterization of nonhomogeneous wavelet bi-frames for reducing subspaces of Sobolev spaces ⋮ Algorithm for constructing symmetric dual framelet filter banks ⋮ Nonhomogeneous wavelet dual frames and extension principles in reducing subspaces ⋮ A characterization of nonhomogeneous dual and weak dual wavelet superframes for Walsh‐reducing subspace of L2(ℝ+,ℂL)$$ {L}^2\left({\mathbb{R}}_{+},{\mathbb{C}}^L\right) $$ ⋮ Dual wavelet frame transforms on manifolds and graphs ⋮ Gibbs phenomenon of framelet expansions and quasi-projection approximation ⋮ Compactly Supported Tensor Product Complex Tight Framelets with Directionality ⋮ Dualwavelet frames in Sobolev spaces on local fields of positive characteristic
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Dual wavelet frames and Riesz bases in Sobolev spaces
- Nonlinear approximation schemes associated with nonseparable wavelet bi-frames
- 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
- A characterization of functions that generate wavelet and related expansion
- Nonstationary tight wavelet frames. II: Unbounded intervals
- 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
- Bi-framelet systems with few vanishing moments characterize Besov spaces
- 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
- On multivariate compactly supported bi-frames
- 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 MULTIVARIATE, PAIRS OF DUAL WAVELET FRAMES OBTAINED BY CONVOLUTION
- Refinable Functions and Cascade Algorithms in Weighted Spaces with Hölder Continuous Masks
- Compactly Supported Symmetric $C^\infty$ Wavelets with Spectral Approximation Order
- Painless nonorthogonal expansions
- Orthonormal bases of compactly supported wavelets
- Ten Lectures on Wavelets
- Biorthogonal bases of compactly supported wavelets
- Computing the Smoothness Exponent of a Symmetric Multivariate Refinable Function
- Splitting a Matrix of Laurent Polynomials with Symmetry and itsApplication to Symmetric Framelet Filter Banks
- Nonstationary Subdivision Schemes and Multiresolution Analysis
- Orthonormal wavelets and tight frames with arbitrary real dilations