Nonlinear approximation with local Fourier bases (Q1581101)
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scientific article; zbMATH DE number 1508204
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nonlinear approximation with local Fourier bases |
scientific article; zbMATH DE number 1508204 |
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Nonlinear approximation with local Fourier bases (English)
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28 November 2001
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It is shown that local Fourier bases are unconditional bases for the modulation spaces on \(R\), including the Bessel potential spaces and the Segal algebra \(S_0\). As a consequence, the abstract function spaces that are defined by the approximation properties with respect to a local Fourier basis, are precisely the modulation spaces.
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nonlinear approximation
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local Fourier bases
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Wilson basis
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modulation spaces
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Schur's test
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