The Sine Representation of Centrally Symmetric Convex Bodies


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Abstract

The problem of the sine representation for the support function of centrally symmetric convex bodies is studied. We describe a subclass of centrally symmetric convex bodies which is dense in the class of centrally symmetric convex bodies. Also, we obtain an inversion formula for the sine-transform.

About the authors

R. H. Aramyan

Russian-Armenian University; Institute of Mathematics of NAS RA

Author for correspondence.
Email: rafikaramyan@yahoo.com
Armenia, Yerevan; Yerevan

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