Asymptotic estimates for the Fourier transform on \({\mathbb{R}}^ n,n\geq 2\) (Q756063)
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scientific article; zbMATH DE number 4190386
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic estimates for the Fourier transform on \({\mathbb{R}}^ n,n\geq 2\) |
scientific article; zbMATH DE number 4190386 |
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Asymptotic estimates for the Fourier transform on \({\mathbb{R}}^ n,n\geq 2\) (English)
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1991
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Conditions are prescribed on a function f on \({\mathbb{R}}^ n\), \(n\geq 2\), and a real number \(\alpha\) that ensure that its Fourier transform is \(O(| x|^{-n-\alpha})\) as \(| x| \to \infty.\) The conditions on f involve mixed smoothness and decay estimates on the spherical and radial variables in polar coordinates.
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asymptotic estimates
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Fourier transform
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