Uniform estimates for Fourier restriction to polynomial curves in \(\mathbb{R}^{d}\) (Q2804442)
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scientific article; zbMATH DE number 6575379
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Uniform estimates for Fourier restriction to polynomial curves in \(\mathbb{R}^{d}\) |
scientific article; zbMATH DE number 6575379 |
Statements
29 April 2016
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Fourier transform
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Fourier restriction
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Fourier extension operator
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polynomial curves
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affine arclength measure
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0.9386798
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0.92632437
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0.91831726
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0.91418743
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0.9138114
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0.90848863
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0.9044371
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0.9014314
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Uniform estimates for Fourier restriction to polynomial curves in \(\mathbb{R}^{d}\) (English)
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For Fourier restriction to polynomial curves in \(\mathbb R^d\) with affine arclength measure, uniform \(L^p\to L^q\) bounds are proved for \(p'=\frac{d(d+1)}2q\), \(q>\frac{d^2+d+2}{d^2+d}\). This covers the whole range conjectured earlier.
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