Fourier restriction to smooth enough curves

2022/04/21 by Jesurum, Michael
#42B10 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.2204.10257

Abstract

We prove Fourier restriction estimates to arbitrary compact C^N curves for any N > 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.

Related

• A Uniform Estimate for Fourier Restriction to Simple Curves
• Uniform Fourier Restriction Estimate for Simple Curves of Bounded Frequency
• A geometric lemma for complex polynomial curves with applications in Fourier restriction theory
• Restriction of the Fourier transform to some oscillating curves
• Sharp Fourier restriction to monomial curves