The null set of a polytope, and the Pompeiu property for polytopes

Fabrício Caluza Machado, Sinai Robins

We study the null set $N(\mathcal{P})$ of the Fourier-Laplace transform of a polytope $\mathcal{P}\subset {\mathbb{R}}^d$, and we find that $N(\mathcal{P})$ does not contain (almost…