Riesz bases and multiresolution analyses
type: Item
instance of: scholarly article
title: Riesz bases and multiresolution analyses
zbMATH Open document ID: 0944.42028
author: Richard A. Zalik
published in: Applied and Computational Harmonic Analysis
publication date: 2000-09-17T00:00:00Z
review text: In this paper the author constructs a family of wavelet Riesz bases of compact support and arbitrary degree of smoothness, that cannot be obtained through a multiresolution analysis. The family is obtained by perturbing the orthonormal Haar wavelet with B-splines, giving thus a symmetric wavelet in closed form. The author also obtains several necessary and sufficient conditions for a wavelet Riesz basis to be generated by a multiresolution analysis.
reviewed by: Radu Balan
Mathematics Subject Classification ID: 42C40
Mathematics Subject Classification ID: 41A15
zbMATH DE Number: 1384044
zbMATH Keywords: wavelet Riesz bases
zbMATH Keywords: multiresolution analysis
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1384044