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The Sine Representation of Centrally Symmetric Convex Bodies

  • Stochastic and Integral Geometry
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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.

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Authors and Affiliations

  1. Russian-Armenian University, Yerevan, Armenia

    R. H. Aramyan

  2. Institute of Mathematics of NAS RA, Yerevan, Armenia

    R. H. Aramyan

Authors
  1. R. H. Aramyan
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Correspondence to R. H. Aramyan.

Additional information

Original Russian Text © R. H. Aramyan, 2018, published in Izvestiya Natsional’noi Akademii Nauk Armenii, Matematika, 2018, No. 6, pp. 3–12.

The present researchwas partially supported by the funds allocated under the grant ofMESof Russia for financing research activities RAU and by the RA MES State Committee of Science and Russian Federation Foundation of Innovation Support in the frame of the joint research project 18RF-019 and 18-51-05010, accordingly.

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Aramyan, R.H. The Sine Representation of Centrally Symmetric Convex Bodies. J. Contemp. Mathemat. Anal. 53, 363–368 (2018). https://doi.org/10.3103/S1068362318060079

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  • DOI: https://doi.org/10.3103/S1068362318060079

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