Characterization of biorthogonal cosine wavelets
type: Item
instance of: scholarly article
title: Characterization of biorthogonal cosine wavelets
zbMATH Open document ID: 0913.42026
DOI: 10.1007/BF02648884
author: Charles K. Chui
author: Xianliang Shi
published in: The Journal of Fourier Analysis and Applications
publication date: 1999-05-20T00:00:00Z
full work available at URL: https://eudml.org/doc/59525
review text: This paper is devoted to the study of the characterization of two--overlapping dual window functions that give rise to biorthogonal Schauder bases, frames, and Riesz bases by modulation of the cosines. The authors show that in this case any frame is a Riesz basis. Their characterization of Riesz bases may be considered as a generalization of the results of \textit{R. R. Coifman, G. Matviyenko} and \textit{Y. Meyer} [Appl. Comp. Harmon. Anal. 4, No. 1, 58-61 (1997; Zbl 0870.94008)] and \textit{B. Jawerth} and \textit{W. Sweldens} [J. Fourier Anal. Appl. 2, No. 2, 109-133 (1995; Zbl 0886.42024)].
Mathematics Subject Classification ID: 42C40
zbMATH DE Number: 1103021
zbMATH Keywords: cosine wavelets
zbMATH Keywords: Schauder basis
zbMATH Keywords: Riesz basis
zbMATH Keywords: frames
zbMATH Keywords: biorthogonal systems
reviewed by: Richard A. Zalik
MaRDI profile type: Publication
cites work: Q4027560
cites work: Q4003151
cites work: Q4938076
cites work: Q3971134
cites work: Gaussian bases
cites work: Modulated Malvar-Wilson bases
cites work: Ten Lectures on Wavelets
cites work: A Simple Wilson Orthonormal Basis with Exponential Decay
cites work: Biorthogonal smooth local trigonometric bases
cites work: Optimized local trigonometric bases
cites work: Q3955832
description: scientific article; zbMATH DE number 1103021