Smoothness characterization and stability of nonlinear and non-separable multiscale representations
type: Item
instance of: scholarly article
title: Smoothness characterization and stability of nonlinear and non-separable multiscale representations
zbMATH Open document ID: 1239.42033
author: Sylvain Meignen
author: Anastasia Zakharova
author: Basarab Matei
published in: Journal of Approximation Theory
publication date: 2011-10-28T00:00:00Z
review text: The analysis of multivariate functions carried out with tensor-product representation is not optimal. This paper is devoted to studying the construction and analysis of nonlinear and non-separable multiscale representations for multivariate functions. Furthermore, this paper characterizes the functions in \(Lp\) and Besov spaces by their multiscale representations and studies the stability and convergence of these multiscale representations. However, most of the theorems in this paper involve multiscale representations which are generated by data dependent subdivision rules.
reviewed by: Lihua Yang
Mathematics Subject Classification ID: 42C40
zbMATH DE Number: 5965563
zbMATH Keywords: nonlinear and non-separable multiscale representations
zbMATH Keywords: Besov spaces
zbMATH Keywords: stability
MaRDI profile type: Publication
full work available at URL: j.jat.2011.06.009
OpenAlex ID: W1975860724
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DOI: 10.1016/J.JAT.2011.06.009
description: scientific article; zbMATH DE number 5965563