On Riesz wavelets associated with multiresolution analyses
type: Item
instance of: scholarly article
title: On Riesz wavelets associated with multiresolution analyses
zbMATH Open document ID: 1017.42025
DOI: 10.1016/S1063-5203(02)00500-6
author: Yanyan Li
published in: Applied and Computational Harmonic Analysis
publication date: 2003-04-02T00:00:00Z
review text: The authors obtain some properties that Riesz wavelets and the corresponding scaling functions should satisfy in order that the Riesz wavelets be associated with multiresolution analyses (MRA's). They are given in terms of low/high pass filters and in terms of the Fourier transform by using a necessary and sufficient condition for the sum of two principal shift invariant spaces to be closed. These properties are used to obtain new characterizations of Riesz wavelets associated with MRA's.
reviewed by: Richard A. Zalik
Mathematics Subject Classification ID: 42C40
zbMATH DE Number: 1891396
zbMATH Keywords: Riesz wavelets
zbMATH Keywords: multiresolution analysis
zbMATH Keywords: shift invariant spaces
zbMATH Keywords: dimension function
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1891396