The Sine Representation of Centrally Symmetric Convex Bodies
- Authors: Aramyan R.H.1,2
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Affiliations:
- Russian-Armenian University
- Institute of Mathematics of NAS RA
- Issue: Vol 53, No 6 (2018)
- Pages: 363-368
- Section: Stochastic and Integral Geometry
- URL: https://journal-vniispk.ru/1068-3623/article/view/228266
- DOI: https://doi.org/10.3103/S1068362318060079
- ID: 228266
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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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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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