Prof. Rafik Aramyan

Head of the Chair of Mathematical Cybernetics
Russian-Armenian University, Yerevan, Armenia



2010 Doctor of Mathematical Sciences(=European Habilitation Degree), Yerevan State University, Armenia

1988 Ph.D., Russian Academy of Sciences, Russia

Publications (selected)

  1. Aramyan and Robert M. Mnatsakanov, “To recovering the moments from the spherical mean Radon transform”, Journal of Mathematical Analysis and Applications,vol. 490, 2020.
  2. R. Aramyan, ”Description of linearly additive metrics in”, Transactions of the Moscow Mathematical Society, 81(1), 2020, pp. 135-142.
  3. R. Aramyan, “The Sine Representation of Centrally Symmetric Convex Bodies”, Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), 2018, Vol. 53(6), pp. 307 -312, (Izv. NAN Arm., Matematika, 2018, 53(6), pp. 3-13).
  4. R. Aramyan, “A Flag representation for n-dimensional convex body”, The Journal of Geometric Analysis, 2019,

  5. R. Aramyan, “To local reconstruction from the spherical mean Radon transform”, Journal of Mathematical Analysis and Applications, vol. 470, pp. 102-117, 2019.
  6. R. Aramyan, “Zonoids with an equatorial characterization”, Applications of Mathematics., vol. 61( 4), pp. 413-422, 2016.
  7. R. Aramyan, “Reconstruction of Three Dimensional Convex Bodies from the Curvatures of Their Shadows”, American Journal of Computational Mathematics vol 5, 2015, pp.86-95.
  8. R. Aramyan, “A Solution of Generalized Cosine Equation in Hilbert’s Fourth Problem”, Advances in Pure Mathematics Vol.4 No.6, 2014, pp.234-241.
  9. Aramyan, “A representation for convex bodies”, Armenian J. of Math., vol. 5(1), 2013, pp. 69-74.
  10. R. Aramyan, “Convex bodies and measures in the space of planes”, J. of Contemp Math. Analysis (Armenian Acad. Sci.), vol. 47(2), 2012, pp. 19-30.
  11. R. Aramyan, “Reconstruction of measures in the space of planes”, Lobachevskii J. of Math., vol. 32 (4), 2011, pp. 241-246.
  12. R. Aramyan, “Reconstruction of centrally symmetric convex bodies in Rn”, Buletinul Acad. De Stiinte A R. Moldova. Math., vol. 65(1), 2011, pp. 28-32.
  13. R. Aramyan, “Solution of an integral equation by consistency method”, Lithuanian Math.Journal , vol. 50 (2), 2010, pp. 133-139.
  14. R. Aramyan, “Generalized Radon transform on the sphere”, Analysis, vol.30 (3), 2010, pp. 271-284.
  15. R. Aramyan, “Solution of one integral equation on the sphere by methods of integral geometry”, Doklady Mathematics, vol. 79(3), 2009, pp. 325-328.
  16. R. Aramyan, “A Representation for the generating density of convex bodies”, Lobachevskii J. of Math., vol. 30 (2), 2009, pp. 97-100.
  17. R. Aramyan, “Measure of planes intersecting a convex body”, Sutra: Inter. J. of Mathematical Science, Vol. 3 (1), 2010.
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