Investigation of uniqueness of the solution of an integral geometry problem

In this thesis, the uniqueness of solution of an integral geometry problem is investigated. For this purpose, the problem is reduced to an inverse problem for a kinetic equation. By using Fourier transform, a system of differential equations is obtained. Then by the help of Riemannian Coordinates, the problem is stated in a simpler form and with a result of Hörmander (1956), the proof is completed. This study is based on the works Amirov (2005) and Amirov, Gölgeleyen and Yamamoto (2017).