Local extension estimates for the hyperbolic hyperboloid in three dimensions

TL;DR

This paper proves new Fourier extension estimates for the hyperbolic hyperboloid in three dimensions using polynomial partitioning techniques, advancing understanding of harmonic analysis on curved surfaces.

Contribution

It introduces novel Fourier extension estimates for the hyperbolic hyperboloid in three dimensions employing polynomial partitioning methods.

Findings

Established Fourier extension estimates for the hyperbolic hyperboloid

Applied polynomial partitioning to harmonic analysis problems

Enhanced understanding of Fourier analysis on curved surfaces

Abstract

We establish Fourier extension estimates for compact subsets of the hyperbolic hyperboloid in three dimensions via polynomial partitioning.