Некоторые задачи нескалярной томографии

Certain problems of scalar, vector and tensor tomography are considered in the paper. Main tools and results of scalar tomography are formulated and connected with the similar in area of tomography for tensor fields. Definitions and properties of differential and integral operators as well as different types of ray transforms for tensor fields are described. The inversion formulas are developed starting from scalar case to the tensor case. Results of few numerical simulations for reconstruction of tensor fields by its ray transforms are presented.