Compactly supported wavelet bases for Sobolev spaces
From MaRDI portal
Publication:1413108
DOI10.1016/j.acha.2003.08.003zbMath1028.42024OpenAlexW2140568023MaRDI QIDQ1413108
Ding-Xuan Zhou, Rong-Qing Jia, Jian-zhong Wang
Publication date: 16 November 2003
Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.acha.2003.08.003
Related Items (28)
Riesz multiwavelet bases ⋮ Bessel sequences in Sobolev spaces ⋮ Construction of multivariate compactly supported prewavelets in \(L_{2}\) space and pre-Riesz bases in Sobolev spaces ⋮ Construction of wavelets and framelets on a bounded interval ⋮ An application of nonstationary wavelets ⋮ Nonhomogeneous dual wavelet frames and mixed oblique extension principles in Sobolev spaces ⋮ A multiscale Galerkin method for the hypersingular integral equation reduced by the harmonic equation ⋮ Wavelet-based semiparametric estimation of ocean surface temperature ⋮ Some compactly supported Riesz wavelets associated to any Ed(2)(ℤ) dilation ⋮ The convergence of wavelet expansion with divergence-free properties in vector-valued Besov spaces ⋮ Small support spline Riesz wavelets in low dimensions ⋮ A note on directional wavelet transform: distributional boundary values and analytic wavefront sets ⋮ Weak Nonhomogeneous Wavelet Bi-Frames for Reducing Subspaces of Sobolev Spaces ⋮ Biorthogonal multiple wavelets generated by vector refinement equation ⋮ Characterization of Riesz bases of wavelets generated from multiresolution analysis ⋮ Riesz bases of wavelets and applications to numerical solutions of elliptic equations ⋮ An extension of Bittner and Urban’s theorem ⋮ Construction of a class of multivariate compactly supported wavelet bases for \(L^2(\mathbb{R}^d)\) ⋮ Sobolev spaces and approximation by affine spanning systems ⋮ Quadratic stable wavelet bases on general meshes ⋮ $C^1$ spline wavelets on triangulations ⋮ Dual wavelet frames and Riesz bases in Sobolev spaces ⋮ Spline wavelets on the interval with homogeneous boundary conditions ⋮ 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 ⋮ Riesz multiwavelet bases generated by vector refinement equation ⋮ Derivative-orthogonal Riesz wavelets in Sobolev spaces with applications to differential equations ⋮ Riesz basis of wavelets constructed from trigonometric B-splines
Cites Work
- On a family of filters arising in wavelet construction
- Using the refinement equation for the construction of pre-wavelets
- A general framework of compactly supported splines and wavelets
- A stability criterion for biorthogonal wavelet bases and their related subband coding scheme
- Shift-invariant spaces and linear operator equations
- Biorthogonal wavelets in \(H^m(\mathbb{R})\)
- The structure of finitely generated shift-invariant spaces in \(L_ 2(\mathbb{R}^ d)\)
- On the construction of multivariate (pre)wavelets
- Subdivision schemes in \(L_ p\) spaces
- Ten Lectures on Wavelets
- On Compactly Supported Spline Wavelets and a Duality Principle
- Biorthogonal bases of compactly supported wavelets
- Wavelet Analysis of Refinement Equations
- \(L_p\) solutions of refinement equations
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Compactly supported wavelet bases for Sobolev spaces
