Fourier Restriction to a Hyperbolic Cone

Abstract

Using a bilinear restriction theorem of Lee and a bilinear-to-linear argument of Stovall, we obtain the conjectured range of Fourier restriction estimates for a conical hypersurface in ${\mathbb{R}}^4$ with hyperbolic cross sections.

12 pages

References in corpus (2)

• A cone restriction estimate using polynomial partitioning
• Scale invariant Fourier restriction to a hyperbolic surface