Unique determination of ellipsoids by their dual volumes and the moment problem

Sergii Myroshnychenko, Kateryna Tatarko, Vladyslav Yaskin

Gusakova and Zaporozhets conjectured that ellipsoids in ${\mathbb{R}}^n$ are uniquely determined (up to an isometry) by their Steiner polynomials. Petrov and Tarasov confirmed this co…