In the class of homogeneous polyhedra homeomorphic to a ball, the solution of the inverse Newtonian potential problem is unique
Doklady Akademii Nauk, Tome 292 (1987) no. 6, pp. 1337-1340.

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     author = {M. A. Brodskii and V. N. Strakhov},
     title = {In the class of homogeneous polyhedra homeomorphic to a ball, the solution of the inverse {Newtonian} potential problem is unique},
     journal = {Doklady Akademii Nauk},
     pages = {1337--1340},
     publisher = {mathdoc},
     volume = {292},
     number = {6},
     year = {1987},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DAN_1987_292_6_a13/}
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M. A. Brodskii; V. N. Strakhov. In the class of homogeneous polyhedra homeomorphic to a ball, the solution of the inverse Newtonian potential problem is unique. Doklady Akademii Nauk, Tome 292 (1987) no. 6, pp. 1337-1340. http://geodesic.mathdoc.fr/item/DAN_1987_292_6_a13/