Periodic interpolating-orthogonal bases of MRA and wavelets
type: Item
instance of: scholarly article
title: Periodic interpolating-orthogonal bases of MRA and wavelets
zbMATH Open document ID: 1479.42076
author: E. A. Pleshcheva
publication date: 2021-12-08T00:00:00Z
review text: Assume that an orthogonal scaling function \(\varphi \in L^2(\mathbb R)\) with corresponding mask \(m\) is given. Then \(m\) is transformed into a mask \(m_I\) such that the related scaling function \(\varphi_I \in L^2(\mathbb R)\) generates an interpolating orthogonal system of integer shifts. By periodization, a 1-periodic interpolating orthogonal scaling function and a 1-periodic orthonormal wavelet are constructed.
reviewed by: Manfred Tasche
Mathematics Subject Classification ID: 42C10
Mathematics Subject Classification ID: 42C40
zbMATH DE Number: 7440291
zbMATH Keywords: orthogonal scaling function
zbMATH Keywords: mask
zbMATH Keywords: interpolating scaling function
zbMATH Keywords: periodic scaling function
zbMATH Keywords: periodic wavelet
MaRDI profile type: Publication
full work available at URL: semi.2021.18.109
OpenAlex ID: W4205846348
cites work: Multiresolution Approximations and Wavelet Orthonormal Bases of L 2 (R)
cites work: Basic wavelet theory
cites work: Interpolating-orthogonal wavelet systems
cites work: Ten Lectures on Wavelets
cites work: Periodic wavelets
cites work: On construction of multivariate wavelet frames
cites work: Approximation properties of multivariate wavelets
DOI: 10.33048/SEMI.2021.18.109
published in: Sibirskie Elektronnye Matematicheskie Izvestiya
description: scientific article; zbMATH DE number 7440291