Physical Sciences and Mathematics Commons^™

Restoring The Function Set By Integrals For The Family Of Parabolas On The Plane, Akram Begmatov, Alisher Ismoilov

Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences

Integral geometry is one of the most important sections of the theory of ill-posed problems of mathematical physics and analysis. The urgency of the problems of integral geometry is due to the development of tomographic methods, which raise the requirements for the depth of the applied results, the fact that the solution of problems of integral geometry reduces a number of multidimensional inverse problems for partial differential problems, as well as the internal development needs of the theory of ill-posed problems of mathematical physics and analysis. In this work we consider the problem of reconstructing a function from a family …