Inequalities of Littlewood–Paley Type for Frames and Wavelets
From MaRDI portal
Publication:4034160
DOI10.1137/0524017zbMath0766.41013OpenAlexW2015204233MaRDI QIDQ4034160
Xian Liang Shi, Charles K. Chui
Publication date: 16 May 1993
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0524017
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) General harmonic expansions, frames (42C15) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)
Related Items
On extensions of wavelet systems to dual pairs of frames, System bandwidth and the existence of generalized shift-invariant frames, Wave packet frames on local fields of positive characteristic, Necessary and sufficient conditions for discrete wavelet frames in \(\mathbb{C}^N\), Nonuniform wavelet frames in L2(ℝ), Continuous two-scale equations and dyadic wavelets, Sufficient conditions and stability of wavelet superframes, The canonical and alternate duals of a wavelet frame, Homogeneous approximation property for wavelet frames, Perturbation of wavelet and Gabor frames, Hexagonal tight frame filter banks with idealized high-pass filters, A characterization of nonhomogeneous wavelet dual frames in Sobolev spaces, Sub-band operators and saddle point wavelets, Affine systems in \(L_ 2(\mathbb{R}^d)\): The analysis of the analysis operator, Explicit constructions and properties of generalized shift-invariant systems in \(L^{2}(\mathbb {R})\), Calderón-type inequalities for affine frames, Sufficient conditions for irregular Gabor frames, Wave packet systems on local fields, A note on irregular wavelet frames, Fractional wave packet systems in L2(R), Two Banach spaces of atoms for stable wavelet frame expansions, Wavelet bi-frames with uniform symmetry for curve multiresolution processing, Unnamed Item, Gabor frames on a half-line, Characterization of tight wavelet frames with composite dilations in L2(Rn), Homogeneous approximation property for wavelet frames with matrix dilations. II., Nonstationary frames of translates and frames from the Weyl–Heisenberg group and the extended affine group *, The bounds estimate of sub-band operators for multi-band wavelets, Density and stability of wavelet frames, Pseudo wavelet frames, Stability of wavelet frames and Riesz bases, with respect to dilations and translations, Frames, biorthogonal dual and other properties associated with wavelet system on ℝ, Irregular wavelet frames, Inequalities for irregular Gabor frames, Construction of nonuniform wavelet frames on non-Archimedean fields, An extension of the Chui--Shi frame condition to nonuniform affine operations, The necessary condition and sufficient conditions for wavelet frame on local fields, Inequalities for wavelet frames with composite dilations in \(L^2(\mathbb{R}^n)\), Inequalities for nonuniform wavelet frames, Bessel sequences, wavelet frames, duals and extensions, Characterizations of the multivariate wave packet systems, Analysis of inpainting via clustered sparsity and microlocal analysis, Affine dual frames and extension principles, From dual pairs of Gabor frames to dual pairs of wavelet frames and vice versa, Frame wavelets with matrix dilations in \(L^2(R^n)\)., On discrete frames associated with semidirect products, Characterizations of biorthogonal wavelets which are associated with biorthogonal multiresolution analyses, Homogeneous approximation property for wavelet frames with matrix dilations, Inequalities for Wavelet Frames, Fractional wavelet frames in \(L^{2}(\mathbb{R})\), Structure of nonstationary Gabor frames and their dual systems, On the stability of wavelet frames of quaternionic-valued functions, Approximately dual pairs of wavelet frames, Dyadic wavelet frames on a half-line using the Walsh–Fourier transform, On Kadec' \(1/4\)-theorem and the stability of Gabor frames, Riesz bases and multiresolution analyses, On the stability of wavelet and Gabor frames (Riesz bases), Unified conditions for wavelet frames, Smooth functions associated with wavelet sets on \(\mathbb R^{d}\), \(d\geq 1\), and frame bound gaps, Characterization of multiwavelets with different real dilations and translations, On MRA Riesz wavelets, Comparison theorems for separable wavelet frames, Sufficient Conditions for Irregular Wavelet Frames, The canonical dual frame of a wavelet frame, A note on discrete wave packet frames in ℂN, Multiscale Factorization of the Wave Equation with Application to Compressed Sensing Photoacoustic Tomography, AB-wavelet frames in L2(Rn), SMOOTH PARSEVAL FRAMES FOR L2(ℝ) AND GENERALIZATIONS TO L2(ℝd), Nonstationary Gabor frames -- approximately dual frames and reconstruction errors, On \(L^ p\)-boundedness of affine frame operators, Irregular wavelet/Gabor frames, On generalized inequalities for nonuniform wavelet frames in \(L^2(\mathbb{K})\), Pre-wavelet bases in Lebesgue spaces
