Riesz wavelets and generalized multiresolution analyses.
type: Item
instance of: scholarly article
title: Riesz wavelets and generalized multiresolution analyses.
zbMATH Open document ID: 1033.42029
DOI: 10.1016/S1063-5203(03)00022-8
author: Marcin Bownik
published in: Applied and Computational Harmonic Analysis
publication date: 2003-07-30T00:00:00Z
review text: The author investigates Riesz wavelets in the context of generalized multiresolution analysis. In particular, he shows that the class of wavelets obtained by an MRA, introduced by the reviewer in [Appl. Comput. Harmon. Anal. 7, 315--331 (1999; Zbl 0944.42028)] is the same as the class of biorthogonal wavelets associated with an MRA.
reviewed by: Richard A. Zalik
Mathematics Subject Classification ID: 42C40
Mathematics Subject Classification ID: 46E30
Mathematics Subject Classification ID: 42C15
zbMATH DE Number: 1957120
zbMATH Keywords: Riesz wavelet
zbMATH Keywords: multiresolution analysis
zbMATH Keywords: generalized multiresolution analysis
zbMATH Keywords: shift invariant space
zbMATH Keywords: dimension function
zbMATH Keywords: biorthogonal wavelets
zbMATH Keywords: MRA
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1957120