Articles by Professor Rafik Aramyan, Head of the Department of Mathematical Cybernetics at RAU, Doctor of Physical and Mathematical Sciences, have been published in prestigious scientific journals.

One of the world's most renowned mathematics journals, Analysis and Mathematical Physics (quartile Q1), published Rafik Aramyan's research article "Inversion of the Two-Data Funk Transform" (2025). The paper considers the problem of inverting the Funk transform, which is of significant theoretical importance in convexity theory, integral geometry, spherical tomography, and magnetic resonance imaging.

The paper finds an additional condition for reconstructing an arbitrary function, including odd functions, and examines the invertibility of the so-called two-dimensional Funk transform. An iterative inversion formula is presented, which, in the class of even continuous functions, provides a new solution to the classical problem. According to the reviewer, the proposed approach is more robust than the classical solution, and the work itself is recognized as a significant contribution to integral geometry.

Professor Aramyan emphasizes that one of his priorities is to stimulate students' interest in serious scientific research with the prospect of publication in leading scientific journals. He also notes that he is open to collaborative team research with students.

Rafik Aramyan's second scientific article, "Inversion of the Two-Data Spherical Radon Transform Centered on a Spherical Domain in R³," was published in the prestigious Russian journal Proceedings of the Moscow Mathematical Society (quartile Q2). The article examines the two-dimensional spherical Radon transform for reconstructing a function defined in R³ space using local data of spherical integrals. The presented inversion formula has theoretical significance and forms the mathematical basis for thermal and photoacoustic tomography, as well as radar imaging.