Mateus Sousa

collaborators

2 papers

math.CA2019

Gaussians never extremize Strichartz inequalities for hyperbolic paraboloids

Emanuel Carneiro, Lucas Oliveira, Mateus Sousa

For $ξ = (ξ_{1}, ξ_{2}, \dots, ξ_{d}) \in R^{d}$ let $Q (ξ) := \sum_{j = 1}^{d} σ_{j} ξ_{j}^{2}$ be a quadratic form with signs $σ_{j} \in {\pm 1}$ not all equal. Let $S \subset \mathbb{R}^{d…

math.CA2019

Fourier uniqueness pairs of powers of integers

João P. G. Ramos, Mateus Sousa

We prove, under certain conditions on $(α, β)$ , that each Schwartz function $f$ such that $f (\pm n^{α}) = f^(\pm n^{β}) = 0, \forall n \geq 0$ must vanish identically, complementing…