3 citations · 4 across the 4 of their papers we have counts for
6 papers
Existence of maximizers for Fourier extension from the hyperbolic paraboloid
Benjamin Bruce, Diogo Oliveira e Silva, Betsy Stovall
We prove that maximizers exist and that maximizing sequences possess subsequences that converge modulo symmetries to maximizers for the Fourier extension inequalities…
Two-point patterns determined by curves
Benjamin B. Bruce, Malabika Pramanik
Let be a smooth curve containing the origin. Does every Borel subset of of sufficiently small codimension enjoy a Sárközy-like property with r…
Global restriction estimates for elliptic hyperboloids
Benjamin Bruce
We prove global Fourier restriction estimates for elliptic, or two-sheeted, hyperboloids of arbitrary dimension , extending recent joint work with Oliveira e Silva and St…
Restriction inequalities for the hyperbolic hyperboloid
Benjamin Bruce, Diogo Oliveira e Silva, Betsy Stovall
In this article we establish new inequalities, both conditional and unconditional, for the restriction problem associated to the hyperbolic, or one-sheeted, hyperboloid in three di…
Local extension estimates for the hyperbolic hyperboloid in three dimensions
Benjamin Bruce
We establish Fourier extension estimates for compact subsets of the hyperbolic hyperboloid in three dimensions via polynomial partitioning.
Fourier Restriction to a Hyperbolic Cone
Benjamin Bruce
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 hypersurfac…