On linear independence of integer shifts of compactly supported distributions
type: Item
instance of: scholarly article
title: On linear independence of integer shifts of compactly supported distributions
zbMATH Open document ID: 1331.41041
author: N. E. Zubov
published in: Journal of Approximation Theory
publication date: 2015-11-18T00:00:00Z
review text: Compactly supported functions and distributions are used frequently as kernels and other tools for multivariate approximation. In this article, the author gives simple criteria for several of such distributions of compact support (e.g. B-splines, box-splines, etc.) to have linearly independent multi-integer translates.
reviewed by: Martin D. Buhmann
Mathematics Subject Classification ID: 41A63
Mathematics Subject Classification ID: 41A30
Mathematics Subject Classification ID: 42C40
Mathematics Subject Classification ID: 42B10
zbMATH DE Number: 6511075
zbMATH Keywords: linear independence
zbMATH Keywords: integer shifts of functions
zbMATH Keywords: polynomial rings
zbMATH Keywords: Hilbert Nullstellensatz
zbMATH Keywords: compactly supported distributions
MaRDI profile type: Publication
full work available at URL: j.jat.2015.08.008
OpenAlex ID: W1593919095
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DOI: 10.1016/J.JAT.2015.08.008
description: scientific article; zbMATH DE number 6511075