Uniform estimates for Fourier restriction to polynomial curves in ${\mathbb{R}}^d$

Abstract

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.

This is a preprint version of a published article. The final version is in Amer. J. Math. 138 (2016), no. 2, 449--471