Behavior of partial sums of wavelet series
type: Item
instance of: scholarly article
title: Behavior of partial sums of wavelet series
zbMATH Open document ID: 0957.42020
author: Noli N. Reyes
published in: Journal of Approximation Theory
publication date: 2000-08-28T00:00:00Z
review text: It is shown that for a distribution \(f\) in the Sobolev space \(H^{1/2}\) the partial sums of its wavelet expansion behave like truncated versions of the inverse Fourier transform of \(\hat{f}\). The similar result does not hold for \(H^s\) if \(s < 1/2\).
Mathematics Subject Classification ID: 42C40
Mathematics Subject Classification ID: 46E35
zbMATH DE Number: 1423073
zbMATH Keywords: Sobolev space
zbMATH Keywords: partial sums of wavelet expansion
MaRDI profile type: Publication
full work available at URL: jath.1999.3410
OpenAlex ID: W1965274654
cites work: Q3123596
cites work: Ten Lectures on Wavelets
cites work: Pointwise convergence of wavelet expansions
cites work: Local convergence for wavelet expansions
cites work: Q5556050
cites work: Q3995454
cites work: Q5640160
cites work: Approximation of the delta function by wavelets
DOI: 10.1006/JATH.1999.3410
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description: scientific article; zbMATH DE number 1423073