6 citations · 10 across the 3 of their papers we have counts for
8 papers · 1 filter
When does maximize Fourier extension for a conic section?
Giuseppe Negro, Diogo Oliveira e Silva, Christoph Thiele
In the past decade, much effort has gone into understanding maximizers for Fourier restriction and extension inequalities. Nearly all of the cases in which maximizers for inequalit…
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…
On regularity and mass concentration phenomena for the sign uncertainty principle
Felipe Gonçalves, Diogo Oliveira e Silva, João P. G. Ramos
The sign uncertainty principle of Bourgain, Clozel & Kahane asserts that if a function and its Fourier transform are nonpositive at the…
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…
A Universality Law For Sign Correlations of Eigenfunctions of Differential Operators
Felipe Gonçalves, Diogo Oliveira e Silva, Stefan Steinerberger
We establish a universality law for sequences of functions satisfying a form of WKB approximation on compact intervals. This includes eigenfunctions of…
Some recent progress on sharp Fourier restriction theory
Damiano Foschi, Diogo Oliveira e Silva
The purpose of this note is to discuss several results that have been obtained in the last decade in the context of sharp adjoint Fourier restriction/Strichartz inequalities. Rathe…