\Bibitem{Lib43} \by I.~Liberman \paper Characterization of convex bodies \jour Sb. Math. \yr 1943 \vol 55 \issue 2 \mathnet{http://mi.mathnet.ru//eng/sm6178} \mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=11562} \zmath{https://zbmath.org/?q=an:0061.37706}