Stability of localized operators (Q1017684)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability of localized operators |
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Stability of localized operators (English)
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12 May 2009
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The paper is devoted to the stability study of localized operators, including infinite matrices in the Sjöstrand class, synthesis operators with generating functions enveloped by shifts of a function in the Wiener amalgam space, and integral operators with kernels having a certain regularity and decay at infinity. The authors show that the \(\ell^p\)-stability (or \(L^p\)-stability) of those three classes of localized operators are equivalent to each other.
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Wiener's lemma
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stability
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infinite matrix with off-diagonal decay
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synthesis operator
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localised integral operator
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Banach algebra
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Gabor system
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sampling
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Schur class
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Sjöstrand class
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Kurbatov class
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