A note on constructing affine systems for \(L^2\)
type: Item
instance of: scholarly article
title: A note on constructing affine systems for \(L^2\)
zbMATH Open document ID: 1242.42030
author: B. E. Eshmatov
published in: Applied and Computational Harmonic Analysis
publication date: 2008-11-12T00:00:00Z
Mathematics Subject Classification ID: 42C40
Mathematics Subject Classification ID: 42C15
Mathematics Subject Classification ID: 46E30
zbMATH DE Number: 5365057
zbMATH Keywords: quasi-interpolation
zbMATH Keywords: multiresolution analysis
zbMATH Keywords: completeness
MaRDI profile type: Publication
full work available at URL: j.acha.2008.04.001
OpenAlex ID: W2058659200
cites work: On the construction of multivariate (pre)wavelets
cites work: Approximation from Shift-Invariant Subspaces of L 2 (ℝ d )
cites work: On translation and affine systems spanning \(L^{1}(\mathbb R)\)
cites work: Affine systems that span Lebesgue spaces
cites work: Affine synthesis onto Lebesgue and Hardy spaces
cites work: An introduction to frames and Riesz bases
cites work: Ten Lectures on Wavelets
cites work: Quasi-interpolation in the Fourier algebra
cites work: On the completeness and other properties of some function systems in \(L_p\), \(0<p<\infty\)
cites work: Representation in \(L_ p\) by series of translates and dilates of one function
cites work: Approximation orders of shift-invariant subspaces of \(W_{2}^{s}(\mathbb R^d)\)
cites work: Order of linear approximation from shift-invariant spaces
cites work: Affine synthesis onto \(L^p\) when \(0< p \leq 1\)
cites work: Q4705314
cites work: Frames and Stable Bases for Shift-Invariant Subspaces of L2(ℝd)
cites work: Q4340096
cites work: Inequalities for components of summable functions and their representations by elements of a system of compressions and shifts
cites work: Sampling-50 years after Shannon
DOI: 10.1016/J.ACHA.2008.04.001
description: scientific article; zbMATH DE number 5365057