A characterization of wavelet convergence in sobolev spaces

DOI10.1080/00036810108840939zbMath1031.42038OpenAlexW2018419416WikidataQ58267195 ScholiaQ58267195MaRDI QIDQ3152139

Louise Arakelian Raphael, Mark A. Kon

Publication date: 22 October 2002

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810108840939

zbMATH Keywords

waveletsSobolev spacemultiresolution analysissmoothnessrate of uniform convergencewavelet expansion

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Applications of functional analysis in numerical analysis (46N40)

Related Items (3)

Kernel B-splines on general lattices ⋮ Lifting of quaternionic frames to higher dimensions with partial ridges ⋮ Polyharmonic multiresolution analysis: An overview and some new results

Cites Work

• Radial bounds for perturbations of elliptic operators
• Approximation of the delta function by wavelets
• The structure of finitely generated shift-invariant spaces in \(L_ 2(\mathbb{R}^ d)\)
• Local convergence for wavelet expansions
• Nonlinear approximation by trigonometric sums
• Orthonormal bases of compactly supported wavelets
• Pointwise convergence of wavelet expansions
• Maximal spaces with given rate of convergence for thresholding algorithms

This page was built for publication: A characterization of wavelet convergence in sobolev spaces