Problems of integral geometry and singular integral equations

New classes of polysingular distributed integral equations in three-dimensional space and problem of integral geometry on plane and in space are considered in the paper at the investigation of the solution uniqueness for these problems. As a result theorems of the solution uniqueness for the considered classes of polysingular distributed equations have been proved. Theorems of the solution exsistence for equations. Obtained after the application of Fourier's transformations, have been proved for the case, when the problem is weakly incorrect. The canonic form of the integral geometry problem in the three-dimensional space has been obtained. Theorems of the solution uniqueness for new classes of integral geometry problems on plane and in space have been proved. Results may be used in problems of integral geometry and multidimensional singular integral equationsAvailable from VNTIC / VNTIC - Scientific & Technical Information Centre of RussiaSIGLERURussian Federatio