A construction of multiwavelet sets in the Euclidean plane
type: Item
instance of: scholarly article
title: A construction of multiwavelet sets in the Euclidean plane
zbMATH Open document ID: 1276.42024
author: Shiva Mittal
published in: Real Analysis Exchange
publication date: 2013-05-30T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.rae/1367265638
review text: The paper is devoted to the construction of multiwavelet sets in the Euclidean plane. More precisely, for a \(2\times 2\) matrix \(A\) with the first row vector being \((0\,\,1)\) and the second row vector being \((a\,\,0)\), the author provides a characterization for the product \(W\times Q\) of a measurable set \(W\) of measure \(2\pi (|a|-1)d\) and a measurable set \(Q\) in \(\mathbb R\) such that \(Q\subset aQ\) is an MRA \(A\)-multiwavelet set of order \((|a|-1)d^2\) in \(\mathbb R^2\), where \(a\) is an integer such that \(|a|>1\) and \(d\) is a natural number.
Mathematics Subject Classification ID: 42C15
Mathematics Subject Classification ID: 42C40
zbMATH DE Number: 6168743
zbMATH Keywords: multiwavelets
zbMATH Keywords: multiresolution analysis of multiplicity d
zbMATH Keywords: MSF multiwavelets, multiwavelet sets
zbMATH Keywords: multiscaling sets
zbMATH Keywords: generalized scaling stes
reviewed by: Qiao-Fang Lian
MaRDI profile type: Publication
OpenAlex ID: W1523599617
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DOI: 10.14321/REALANALEXCH.38.1.0017
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description: scientific article; zbMATH DE number 6168743