Groemer, H. , On a spherical integral transformation and sections of star bodies, Monatsh. Math. , 126 (1998), no. 2, 117–124. MR 99k :52005 Groemer H. On a spherical
The paper concerns a biunique correspondence between some positively homogeneous functions on ℝn and some star-shaped sets with nonempty interior, symmetric with respect to the origin (Theorems 3.5 and 4.3).
