Аннотация:
The article considers the problem of existence and uniqueness of a centrally symmetric convex body in $\mathbb R^n$ for which the projection curvature radius function coincides with given function. A necessary and sufficient condition is found that ensures a positive answer. Also we find a representation for the support function of a centrally symmetric convex body.
Ключевые слова и фразы:convex geometry, integral geometry, projection curvature.