Norms concerning subdivision sequences and their applications in wavelets

DOI10.1006/acha.2001.0359zbMath0986.42023OpenAlexW2056138877MaRDI QIDQ5956052

Ding-Xuan Zhou

Publication date: 11 June 2002

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/acha.2001.0359

zbMATH Keywords

waveletsconvergencesubdivision schemessmoothnessjoint spectral radiusinhomogeneous refinement equationrefinable functionscascade algorithmsmultiresolution analysessubdivision sequence

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40)

Related Items (16)

Convergence rates of cascade algorithms ⋮ Decompositions of trigonometric polynomials with applications to multivariate subdivision schemes ⋮ \(L_p\)-solutions of vector refinement equations with general dilation matrix ⋮ Vector cascade algorithms and refinable function vectors in Sobolev spaces ⋮ Convergence rate of vector subdivision scheme ⋮ Triangular \(\sqrt 7\) and quadrilateral \(\sqrt 5\) subdivision schemes: regular case ⋮ Subdivisions with infinitely supported mask ⋮ Subdivision schemes with polynomially decaying masks ⋮ The independence of initial vectors in the subdivision schemes ⋮ A generalization of the mean size formula of wavelet packets in \(L_p\) ⋮ Inhomogeneous refinement equations with random affine maps ⋮ Multivariate refinement equations and convergence of cascade algorithms in \(L_p(0<p<1)\) spaces ⋮ Mean size formula of wavelet subdivision tree on Heisenberg group ⋮ Convergence rates of cascade algorithms associated with nonhomogeneous refinement equations ⋮ Mean size of wavelet packets ⋮ Convergence of cascade algorithms in Sobolev spaces for perturbed refinement masks

Cites Work

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• Shift-invariant spaces on the real line
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• Convergence of cascade algorithms associated with nonhomogeneous refinement equations

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