Stability of the shifts of a finite number of functions
type: Item
instance of: scholarly article
title: Stability of the shifts of a finite number of functions
zbMATH Open document ID: 0957.42019
author: Rong-Qing Jia
published in: Journal of Approximation Theory
publication date: 2001-03-25T00:00:00Z
review text: In this paper the author continues his study of a characterization of \(L_p\)-stability of the shifts of a finite number of compactly supported functions. He gives a theorem that covers \(L_p\)-stability for the general case \(0< p\leq\infty\). This result extends a previous joint work of \textit{R.-Q. Jia} and \textit{C. A. Micchelli} [Proc. Edinb. Math. Soc., II. Ser. 36, No. 1, 69-85 (1992; Zbl 0790.41016)] which dealt with the case \(1\leq p\leq\infty\).
Mathematics Subject Classification ID: 42C40
Mathematics Subject Classification ID: 42B30
Mathematics Subject Classification ID: 41A35
Mathematics Subject Classification ID: 46F15
Mathematics Subject Classification ID: 46E30
zbMATH DE Number: 1230420
zbMATH Keywords: shift-invariant spaces
zbMATH Keywords: stability
zbMATH Keywords: discrete convolution
zbMATH Keywords: Hardy spaces
zbMATH Keywords: Riesz basis
reviewed by: Ganesh Datta Dikshit
MaRDI profile type: Publication
OpenAlex ID: W1973578161
cites work: On the local linear independence of translates of a box spline
cites work: Compression of Wavelet Decompositions
cites work: Local linear independence of the translates of a box spline
cites work: A Bernstein-type inequality associated with wavelet decomposition
cites work: Shift-invariant spaces and linear operator equations
cites work: Q3975831
cites work: On linear independence for integer translates of a finite number of functions
cites work: Q3135829
DOI: 10.1006/JATH.1998.3215
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description: scientific article; zbMATH DE number 1230420