28 citations · 162 across the 25 of their papers we have counts for
3 papers · 1 filter
Extremizers for adjoint Fourier restriction on hyperboloids: the higher dimensional case
Emanuel Carneiro, Diogo Oliveira e Silva, Mateus Sousa +1
We prove that in dimensions , the non-endpoint, Lorentz-invariant adjoint Fourier restriction inequality on the -dimensional hyperboloid $\mathbb{H}^d \s…
A variational restriction theorem
Vjekoslav Kovač, Diogo Oliveira e Silva
We establish variational estimates related to the problem of restricting the Fourier transform of a three-dimensional function to the two-dimensional Euclidean sphere. At the same…
Band-limited maximizers for a Fourier extension inequality on the circle
Diogo Oliveira e Silva, Christoph Thiele, Pavel Zorin-Kranich
Among the class of functions with Fourier modes up to degree 30, constant functions are the unique real-valued maximizers for the endpoint Tomas-Stein inequality on the circle.