Stability of the shifts of a finite number of functions (Q1273407)
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scientific article; zbMATH DE number 1230420
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability of the shifts of a finite number of functions |
scientific article; zbMATH DE number 1230420 |
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Stability of the shifts of a finite number of functions (English)
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25 March 2001
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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 \(1\leq p\leq\infty\).
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shift-invariant spaces
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stability
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discrete convolution
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Hardy spaces
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Riesz basis
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0.9310578
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0.89406806
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0.88868237
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0.8842385
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0.88412035
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0.8795301
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