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IMCS/Publications/BASM/Issues/BASM n.1 (65), 2011/

Reconstruction of centrally symmetric convex bodies in Rn

Authors: R. H. Aramyan

Abstract

The article considers the problem of existence and uniqueness of a centrally symmetric convex body in Rn 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.

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