A characterization theorem for the Fourier transform on \(R^ n\) (Q1119859)
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scientific article; zbMATH DE number 4097990
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A characterization theorem for the Fourier transform on \(R^ n\) |
scientific article; zbMATH DE number 4097990 |
Statements
A characterization theorem for the Fourier transform on \(R^ n\) (English)
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1988
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A characterization of the Fourier transform as a continuous operator from \(L^ 2({\mathbb{R}}^ n)\) to \(L^ 2({\mathbb{R}}^ n)\) behaving like the Fourier transform under rotations, dilation and translations is developed. The methods applied are interesting and the approach to the problem is novel.
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Bessel functions
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Hecke-Bochner identities
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Fourier transform
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