About the solution of nondegenerate four-element boundary value problem of Karleman type for bianalytical functions in circle

The article is devoted to the investigation of four-element boundary value problem of Karleman type for sectionally bianalytical functions with discontinuity line $L=\{t:|t|=1\}$. A constructive method for solution of the problem concerned in a so called nondegenerate case was found. It is established that solution of the investigated problem consists of solution of two generalized and two usual scalar boundary value problems of Riemann for sectionally analytical functions with discontinuity line $L$.