Riesz bases and multiresolution analyses
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Publication:1818577
zbMath0944.42028MaRDI QIDQ1818577
Publication date: 17 September 2000
Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Spline approximation (41A15)
Related Items (15)
On vector-valued nonuniform multiresolution analysis ⋮ One-Dimensional Dyadic Wavelets ⋮ \(\mathcal K\)-matrix-valued wave packet frames in \(L^2(\mathbb R^d,\mathbb C^{s\times r})\) ⋮ Exact g-frames in Hilbert spaces ⋮ Discrete vector-valued nonuniform Gabor frames ⋮ Riesz wavelets and generalized multiresolution analyses. ⋮ Irregular multiresolution analysis and associated wavelet ⋮ A non-MRA \(c^r\) frame wavelet with rapid decay ⋮ Characterizations of biorthogonal wavelets which are associated with biorthogonal multiresolution analyses ⋮ Homogeneous wavelets and framelets with the refinable structure ⋮ Construction of \(P^{th}\)-stage nonuniform discrete wavelet frames ⋮ On Parseval Wavelet Frames via Multiresolution Analyses in ⋮ On scaling functions of non-uniform multiresolution analysis in L2(ℝ) ⋮ Unitary Extension Principle for Nonuniform Wavelet Frames in $L^2(\mathbb{R})$ ⋮ On Riesz wavelets associated with multiresolution analyses
Cites Work
- Remarks on a paper of Gel'fand and Shilov on Fourier transforms
- Generalized wavelets and compactly supported scaling functions
- Bessel sequences and affine frames
- On the stability of frames and Riesz bases
- Solution of two problems on wavelets
- Sur l'existence des analyses multi-résolutions en théorie des ondelettes. (On the existence of multi-resolution analyses in wavelet theory)
- A theory for multiresolution signal decomposition: the wavelet representation
- Painless nonorthogonal expansions
- Ten Lectures on Wavelets
- Inequalities of Littlewood–Paley Type for Frames and Wavelets
- Multiresolution Approximations and Wavelet Orthonormal Bases of L 2 (R)
- Perturbations of the Haar wavelet
- A necessary and sufficient condition for the existence of a father wavelet
- A Class of Nonharmonic Fourier Series
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