A method for separation of classes of linear conjugation problems for three-dimensional vector

Abstract

© 2015, Allerton Press, Inc. We consider structure of the set of piecewise-meromorphic solutions of the homogeneouslinear 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