Geodesic
Reconstruction of centrally symmetric convex bodies in $\boldsymbol{R^n}$
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2011), pp. 28-32

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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. 
@article{BASM_2011_1_a1,
     author = {R. H. Aramyan},
     title = {Reconstruction of centrally symmetric convex  bodies in $\boldsymbol{R^n}$},
     journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
     pages = {28--32},
     publisher = {mathdoc},
     number = {1},
     year = {2011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BASM_2011_1_a1/}
}
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R. H. Aramyan. Reconstruction of centrally symmetric convex  bodies in $\boldsymbol{R^n}$. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2011), pp. 28-32. http://geodesic.mathdoc.fr/item/BASM_2011_1_a1/