English

Fourier restriction to smooth enough curves

Classical Analysis and ODEs 2022-04-22 v1

Abstract

We prove Fourier restriction estimates to arbitrary compact CNC^{N} curves for any N>dN > d in the (sharp) Drury range, using a power of the affine arclength measure as a mitigating factor. In particular, we make no nondegeneracy assumption on the curve.

Keywords

Cite

@article{arxiv.2204.10257,
  title  = {Fourier restriction to smooth enough curves},
  author = {Michael Jesurum},
  journal= {arXiv preprint arXiv:2204.10257},
  year   = {2022}
}
R2 v1 2026-06-24T10:54:59.899Z