# Rafik Aramyan 's Publications (Full profile)

### Paper

- Recovery of bivariate functions from the values of its Radon transform using Laplace inversion, Journal of Computational and Applied Mathematics, 395, pp. 113557 , (2021)
- Conditional moments for a d-dimensional convex body, J. of Contemp. Math. Analysis , 56, (3), pp. 3-9, (2021)
- To recovering the moments from the spherical mean Radon transform, Journal of Mathematical Analysis and Applications , 490, (2), pp. 413-422, (2020)
- A description of linearly additive metrics on , Transactions of the Moscow Math. Soc. , 81, (1), pp. 115-121 , (2020)
- Chord length distribution and the distance between two random points in a convex body in Rn, General Letters in Mathematics, 9, (2), pp. 74-79, (2020)
- Waste disposal facilities monitoring based on high-resolution information features of space images , E3S Web of Conferences, 157, (2020)
- Conditional moments of the distance distribution two random points in a convex domain in R2, Proceedings of the YSU, Physical and Mathematical Sciences , 54, (1), pp. 1-7, (2020)
- A Flag representation for n-dimensional convex body, The Journal of Geometric Analysis, 29, (3), pp. 2998-3009, (2019)
- To local reconstruction from the spherical mean Radon transform, Journal of Mathematical Analysis and Applications, 470, (1), pp. 102-117, (2019)
- The sine representation of centrally symmetric convex bodies, J. Contemp. Math. Anal., Armen. Acad. Sci. , 53, (6), pp. 307-312 , (2018)
- Zonoids with an equatorial characterization, Applications of Mathematics, 61, (4), pp. 413-422, (2016)
- Reconstruction of Three Dimensional Convex Bodies from the Curvatures of Their Shadows, American Journal of Computational Mathematics, 5, pp. 86-95, (2015)
- A representation for the support function of a convex body, Proceedings of the YSU, Physical and Mathematical Sciences, 3, (2015(3)), pp. 1-7, (2015)
- A Solution of Generalized Cosine Equation in Hilbert’s Fourth Problem, Advances in Pure Mathematics, 4, (6), pp. 234-241, (2014)
- A representation for convex bodies, Armenian Journal of Mathematics, 5, (1), pp. . 69-74, (2013)
- Convex bodies and measures in the space of planes, Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), 47, (2), pp. 19--30, (2012)
- Reconstruction of measures in the space of planes, Lobachevskii Journal of Mathematics, 32, (4), pp. 241 -- 246, (2011)
- Reconstruction of centrally symmetric convex bodies in R^n, Buletinul Acad. De Stiinte A R. Moldova, 65, (1), pp. 28-32, (2011)
- The integral and stochastic geometric approach to Hilbertâ??s fourth problem, Proceedings of the 8th Seminar on probability and Stochastic processes University of Guilian, pp. 28-29, (2011)
- Measure of planes intersecting a convex body, 3, (1), pp. 1-7, (2010)
- Generalized Radon transform on the sphere, Analysis (Munich) , 30, (3), pp. 271-284, (2010)
- Solution of an integral equation by consistency method, Lithuanian Math. Journal, 50, (2), pp. 133 -- 139, (2010)
- Solution of one integral equation on the sphere by methods of integral geometry, Doklady Mathematics (Russian Academy of Sciences), 79, (3), pp. 325-328, (2009)
- A representation for the generating density of convex bodies, Lobachevskii Journal of Mathematics, 30, (2), pp. 97-101, (2009)
- Reconstruction of centrally-symmetrical convex bodies in R^3, Vestnik fiz-mat nauk RAU, 2, pp. 10 -- 15, (2009)
- Reconstruction of centrally-symmetrical convex bodies by projection curvature radii , Journal of Contemporary Math. Anal. (Armenian Academy of Sciences), 39, (5), pp. 50 -68, (2004)
- Generalized Radon transform with an application in convexity theory, Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), 38, (3), pp. 16-36, (2003)
- Radii of projection curvature and generating density of Convex bodies in $R^n$, Izv. NAN Armenii, Matematika, . In Russian, 36, (1), pp. 48-59, (2001)
- An approach to generalized Funk equations, I, Izv. NAN Armenii, Matematika, . In Russian, 36, (1), pp. 48-59, (2001)
- Poisson random planes model in tunnelbuilding, Izv. NAN Armenii, Matematika, In Russian, 31, (2), (1996)
- Measure generation in the space of planes and spherical Euler functional, Izv. NAN Armenii, Matematika, In Russian, 29, (4), (1994)
- Flag-representation of convex bodies by stochastic approximation of Delone, Izv. NAN Armenii, Matematika, In Russian, 28, (2), (1993)
- Recovering rose of directions from flag densities in R^3, Izv. NAN Armenii, Matematika, In Russian, 27, (5), (1992)
- Flag representations and curvature measures of convex bodies, Izv. NAN Armenii, Matematika, In Russian, 23, (1), (1988)
- About stochastic approximation of convex bodies, Izv. NAN Armenii, Matematika, In Russian, 22, (5), (1987)
- To calculation of probabilities of nonaffine shapes, Izv. NAN Armenii, Matematika, In Russian, 20, (4), (1985)

### Conference Paper

- About stochastic approximation of convex bodies, Abstracts of Communications: in "5th Vilnius Conference on Probability Theory and Mathematical Statistics", Vilnius, (1989)
- About stochastic approximation of convex bodies, Abstracts of Communications: in " International Conference on Geometry, Novosibirsk, Russia, (1987)