Fractional Fourier transform of tempered distributions and generalized pseudo-differential operator (Q1758377)
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scientific article; zbMATH DE number 6104295
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fractional Fourier transform of tempered distributions and generalized pseudo-differential operator |
scientific article; zbMATH DE number 6104295 |
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Fractional Fourier transform of tempered distributions and generalized pseudo-differential operator (English)
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9 November 2012
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The authors investigate the fractional Fourier transform of tempered distributions. The main result of the paper gives the boundedness of generalized pseudo-differential operators (defined in terms of the fractional Fourier transform) when acting on generalized Sobolev spaces.
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Fourier transform
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fractional Fourier transform
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generalized pseudo-differential operator
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generalized heat equation
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