Prof. Rafik Aramyan
Head of the Chair of Mathematical Cybernetics
Russian-Armenian University, Yerevan, Armenia
Professor
E-mail: rafik.aramyan@rau.am
Qualifications
2010 Doctor of Mathematical Sciences(=European Habilitation Degree), Yerevan State University, Armenia
1988 Ph.D., Russian Academy of Sciences, Russia
Publications (selected)
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Aramyan and Robert M. Mnatsakanov, “To recovering
the moments from the spherical mean Radon transform”, Journal of Mathematical
Analysis and Applications,vol. 490, 2020.
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R. Aramyan, ”Description of linearly additive metrics
in”, Transactions of the Moscow Mathematical Society, 81(1), 2020, pp. 135-142.
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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).
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R. Aramyan, “A Flag representation for n-dimensional convex body”, The
Journal of Geometric Analysis, 2019, https://doi.org/10.1007/s12220-018-00102-1
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R. Aramyan, “To local reconstruction from the
spherical mean Radon transform”, Journal of Mathematical Analysis and
Applications, vol. 470, pp. 102-117, 2019.
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R. Aramyan, “Zonoids with an equatorial
characterization”, Applications of Mathematics., vol. 61( 4), pp. 413-422,
2016.
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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.
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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.
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Aramyan, “A representation for convex bodies”, Armenian
J. of Math., vol. 5(1), 2013, pp. 69-74.
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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.
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R. Aramyan, “Reconstruction of measures in the space
of planes”, Lobachevskii J. of Math., vol. 32 (4), 2011, pp. 241-246.
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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.
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R. Aramyan, “Solution of an integral equation by
consistency method”, Lithuanian Math.Journal , vol. 50 (2), 2010, pp. 133-139.
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R. Aramyan, “Generalized Radon transform on the
sphere”, Analysis, vol.30 (3), 2010, pp. 271-284.
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R. Aramyan, “Solution of one integral equation on the
sphere by methods of integral geometry”, Doklady Mathematics, vol. 79(3), 2009,
pp. 325-328.
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R. Aramyan, “A Representation for the generating
density of convex bodies”, Lobachevskii J. of Math., vol. 30 (2), 2009, pp.
97-100.
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R. Aramyan, “Measure of planes intersecting a convex
body”, Sutra: Inter. J. of Mathematical Science, Vol. 3 (1), 2010.