28 citations · 162 across the 25 of their papers we have counts for
30 papers
An SU(2n)-valued nonlinear Fourier transform
Michel Alexis, Lars Becker, Diogo Oliveira e Silva +1
We define a nonlinear Fourier transform which maps sequences of contractive matrices to -valued functions on the circle . We characterize the image…
Sharp extension inequalities on finite fields
Cristian González-Riquelme, Diogo Oliveira e Silva
Sharp restriction theory and the finite field extension problem have both received a great deal of attention in the last two decades, but so far they have not intersected. In this…
Dimension-free estimates for low degree functions on the Hamming cube
Komla Domelevo, Polona Durcik, Valentia Fragkiadaki +4
The main result of this paper are dimension-free inequalities, , for low degree scalar-valued functions on the Hamming cube. More precisely, for any $\vare…
Block-radial symmetry breaking for ground states of biharmonic NLS
Rainer Mandel, Diogo Oliveira e Silva
We prove that the biharmonic NLS equation in has at least different solutions if is small enough and $2…
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…
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…