Homogeneous wavelets and framelets with the refinable structure

DOI10.1007/s11425-017-9145-4zbMath1397.42026arXiv1707.01453OpenAlexW3103508986MaRDI QIDQ724423

D. Kharzeev

Publication date: 25 July 2018

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.01453

zbMATH Keywords

multiresolution analysisshift-invariant spaceshomogeneous wavelets and frameletsnonhomogeneous wavelets and frameletsrefinable structureSchur decomposition for Hermite matrices of measurable functionssingular value decomposition for matrices of measurable functions

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) General harmonic expansions, frames (42C15) Approximation by other special function classes (41A30)

Related Items

Dilation-and-modulation Parseval frames in the half space, Univariate tight wavelet frames of minimal support, Generalized matrix spectral factorization with symmetry and applications to symmetric quasi-tight framelets, Wavelet frames in \(L^2(\mathbb{R}^{d})\), A Characterization of (Weak) Nonhomogeneous Wavelet Dual Frames and Mixed Oblique Principle in Sobolev Spaces on the Half Real Line, Characterization of rationally sampled quaternionic dual Gabor frames, Quaternionic Gabor frame characterization and the density theorem, Rationally sampled Gabor frames on the half real line, A class of reproducing systems generated by a finite family in \(L^2 (\mathbb{R}_+)\), Nonuniform nonhomogeneous dual wavelet frames in Sobolev spaces in \(L^2(\mathbb{K})\), Extension principles for affine dual frames in reducing subspaces, The density theorem of a class of dilation-and-modulation systems on the half real line, Nonhomogeneous dual wavelet frames with the \(p\)-refinable structure in \(L^2(\mathbb{R}^+)\), Vector-valued weak Gabor dual frames on discrete periodic sets, Walsh shift-invariant sequences and \(p\)-adic nonhomogeneous dual wavelet frames in \(L^{2}(\mathbb{R}_{+})\), Multivariate quasi-tight framelets with high balancing orders derived from any compactly supported refinable vector functions, Nonhomogeneous wavelet dual frames and extension principles in reducing subspaces, Gibbs phenomenon of framelet expansions and quasi-projection approximation

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