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arxiv: 1710.07682 · v1 · pith:CWE5ZFO5new · submitted 2017-10-20 · 🧮 math.CA

Uniform estimates for Fourier restriction to polynomial curves in mathbb R^d

classification 🧮 math.CA
keywords curvesfouriermathbbpolynomialrestrictionuniformaffinearclength
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We prove uniform $L^p \to L^q$ bounds for Fourier restriction to polynomial curves in $\mathbb R^d$ with affine arclength measure, in the conjectured range.

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