Deconvolution using Meyer wavelets

DOI10.1216/jiea/1181074297zbMath0978.65122OpenAlexW1982805053MaRDI QIDQ5939750

Xiaoping Shen, Gilbert G. Walter

Publication date: 30 July 2001

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/jie/VOL11-4/CONT11-4/CONT11-4.html

zbMATH Keywords

convergenceSobolev spacecondition numbererror boundsill-posed problemdeconvolutionconvolution equationMeyer waveletsscaling subspaceswavelet subspaces

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Numerical methods for wavelets (65T60) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items (17)

On anL₁Consistent Wavelet Density Estimator for the Deconvolution Problem ⋮ MEYER WAVELET REGULARIZATION ⋮ Minimax lower bounds for the simultaneous wavelet deconvolution with fractional Gaussian noise and unknown kernels ⋮ Anisotropic de-noising in functional deconvolution model with dimension-free convergence rates ⋮ Minimax adaptive wavelet estimator for the anisotropic functional deconvolution model with unknown kernel ⋮ On minimax convergence rates under \(L^p\)-risk for the anisotropic functional deconvolution model ⋮ Anisotropic functional deconvolution for the irregular design: A minimax study ⋮ Wavelet deconvolution in a periodic setting with long-range dependent errors ⋮ HERMITE WAVELET METHOD FOR APPROXIMATE SOLUTION OF HIGHER ORDER BOUNDARY VALUE PROBLEMS OF ORDINARY DIFFERENTIAL EQUATIONS ⋮ Multichannel deconvolution with long-range dependence: a minimax study ⋮ TRANSLATION INVARIANT DECONVOLUTION IN A PERIODIC SETTING ⋮ A Galerkin-wavelet method for a singular convolution equation on the real line ⋮ Multiscale density estimation with errors in variables ⋮ Functional deconvolution in a periodic setting: uniform case ⋮ ON A STRONGLY CONSISTENT WAVELET DENSITY ESTIMATOR FOR THE DECONVOLUTION PROBLEM ⋮ Anisotropic functional deconvolution with long-memory noise: the case of a multi-parameter fractional Wiener sheet ⋮ Density estimation in the presence of noise

Cites Work

• Bayes empirical Bayes estimation for natural exponential families with quadratic variance functions
• A Technique for the Numerical Solution of Certain Integral Equations of the First Kind
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Deconvolution using Meyer wavelets