Nonsmooth spline-wavelet expansions and their properties
type: Item
instance of: scholarly article
title: Nonsmooth spline-wavelet expansions and their properties
zbMATH Open document ID: 1272.65109
published in: Journal of Mathematical Sciences (New York)
publication date: 2012-11-28T00:00:00Z
review text: The authors proposes some methods of constructing embedded spaces of splines and their wavelet expansions. Embedded spaces of nonsmooth splines of the first order and irregular meshes are considered. For a less finer mesh, the conditions under which the spline space is embedded into a similar space on the original mesh are discussed. Wavelet expansions are presented and it is shown that the expansions based on coarser meshes obtained by successively the removing mesh nodes are independent of the order in which nodes are removed; hence the decomposition operators are commutative.
reviewed by: Nicoleta Breaz
Mathematics Subject Classification ID: 65T60
Mathematics Subject Classification ID: 65D07
zbMATH DE Number: 6110779
zbMATH Keywords: spline
zbMATH Keywords: embedded spaces
zbMATH Keywords: irregular mesh
zbMATH Keywords: wavelet expansions
zbMATH Keywords: decomposition operators
author: Yu. K. Dem'yanovich
MaRDI profile type: Publication
full work available at URL: s10958-012-0782-7
OpenAlex ID: W2003647248
cites work: Basic wavelet theory
cites work: Q4003151
DOI: 10.1007/S10958-012-0782-7
description: scientific article; zbMATH DE number 6110779