The modulus of the Fourier transform on a sphere determines 3-dimensional convex polytopes

Konrad Engel, Bastian Laasch

Let $\mathcal{P}$ and ${\mathcal{P}}^{\prime }$ be $3$-dimensional convex polytopes in ${\mathbb{R}}^3$ and $S\subseteq {\mathbb{R}}^3$ be a non-empty intersection of an open set with a sphere.…