A Fourier restriction theorem for a perturbed hyperbolic paraboloid: polynomial partitioning
Classical Analysis and ODEs
2020-03-04 v1
Abstract
We consider a surface with negative curvature in which is a cubic perturbation of the saddle. For this surface, we prove a new restriction theorem, analogous to the theorem for paraboloids proved by L. Guth in 2016. This specific perturbation has turned out to be of fundamental importance also to the understanding of more general classes of perturbations.
Cite
@article{arxiv.2003.01619,
title = {A Fourier restriction theorem for a perturbed hyperbolic paraboloid: polynomial partitioning},
author = {Stefan Buschenhenke and Detlef Müller and Ana Vargas},
journal= {arXiv preprint arXiv:2003.01619},
year = {2020}
}
Comments
26 pages, 1 figure