A multilinear generalisation of the Hilbert transform and fractional integration (Q664894)
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scientific article; zbMATH DE number 6011504
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A multilinear generalisation of the Hilbert transform and fractional integration |
scientific article; zbMATH DE number 6011504 |
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A multilinear generalisation of the Hilbert transform and fractional integration (English)
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3 March 2012
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The Hilbert transform and a fractional integral operator can be considered as convolution operators which calculate a certain volume in \(\mathbb{R}\). The author extends these operators to higher dimensions by mutilinearizing them in two ways.
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Hilbert transform
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fractional integration
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multilinear operator
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best constant
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fractional integral operator
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convolution operators
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0.9097705
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0.9076566
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0.9068626
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0.9053128
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0.9035784
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