A Method for Separation of Classes of Linear Conjugation Problems for Three-Dimensional Vector

摘要

We consider structure of the set of piecewise-meromorphic solutions of the homogeneous linear conjugation problems for three-dimensional vector, and study their relations with a system of two problems of fractional-linear conjugation. The main result of the paper is the following one:known two piecewise-meromorphic solutions of the system, we are able to construct a canonical system of solutions to the linear conjugation problem and to separate a class of problems resolvable in closed form.