Wavelet shrinkage estimators of Hilbert transform

DOI10.1016/j.jat.2011.02.005zbMath1235.42031OpenAlexW2047647056MaRDI QIDQ544032

Di-Rong Chen, Yao Zhao

Publication date: 14 June 2011

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2011.02.005

zbMATH Keywords

maximal operatorHilbert transformwavelet shrinkagenonstandard form

Mathematics Subject Classification ID

Other transformations of harmonic type (42C20)

Uses Software

• S+WAVELETS

Cites Work

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• Convergence of wavelet thresholding estimators of differential operators
• Ondelettes et bases hilbertiennes. (Wavelets and Hilbert bases)
• Local convergence for wavelet expansions
• Pointwise convergence of wavelet expansions
• Almost everywhere behavior of general wavelet shrinkage operators
• Minimax estimation via wavelet shrinkage
• On the almost everywhere convergence of wavelet summation methods
• Fast wavelet transforms and numerical algorithms I
• Orthonormal bases of compactly supported wavelets
• Ten Lectures on Wavelets
• On the Representation of Operators in Bases of Compactly Supported Wavelets
• Ideal spatial adaptation by wavelet shrinkage
• On Optimality of Bayesian Wavelet Estimators
• De-noising by soft-thresholding