6 citations · 7 across the 4 of their papers we have counts for
4 papers · 1 filter
Existence of extremals for a Fourier restriction inequality on the one-sheeted hyperboloid
René Quilodrán
We prove the existence of functions that extremize the endpoint to adjoint Fourier restriction inequality on the one-sheeted hyperboloid in Euclidean space $\mathbb{R}^…
Global maximizers for adjoint Fourier restriction inequalities on low dimensional spheres
Diogo Oliveira e Silva, René Quilodrán
We prove that constant functions are the unique real-valued maximizers for all adjoint Fourier restriction inequalities on the unit sphere $\mathbb{S}^{d-1}\subset\mat…
On extremizers for Strichartz estimates for higher order Schrödinger equations
Diogo Oliveira e Silva, René Quilodrán
For an appropriate class of convex functions , we study the Fourier extension operator on the surface equipped with projection measure. Fo…
Gaussians Rarely Extremize Adjoint Fourier Restriction Inequalities For Paraboloids
Michael Christ, René Quilodrán
It was proved independently by Foschi and Hundertmark, Zharnitsky that Gaussians extremize the adjoint Fourier restriction inequality for L^2 functions on the paraboloid in the two…