28 citations · 162 across the 25 of their papers we have counts for
4 papers · 1 filter
Asymptotically sharp discrete nonlinear Hausdorff-Young inequalities for the SU(1,1)-valued Fourier products
Vjekoslav Kovač, Diogo Oliveira e Silva, Jelena Rupčić
We work in a discrete model of the nonlinear Fourier transform (following the terminology of Tao and Thiele), which appears in the study of orthogonal polynomials on the unit circl…
Stability of sharp Fourier restriction to spheres
Emanuel Carneiro, Giuseppe Negro, Diogo Oliveira e Silva
In dimensions , we prove that the constant functions on the unit sphere maximize the weighted adjoint Fourier restrictio…
Intermittent symmetry breaking and stability of the sharp Agmon--Hörmander estimate on the sphere
Giuseppe Negro, Diogo Oliveira e Silva
We compute the optimal constant and characterise the maximisers at all spatial scales for the Agmon--Hörmander -Fourier adjoint restriction estimate on the sphere. The maximis…
The Stein-Tomas inequality under the effect of symmetries
Rainer Mandel, Diogo Oliveira e Silva
We prove new Fourier restriction estimates to the unit sphere on the class of -symmetric functions, for every and . As an ap…