On the method of factorization of matrix-functions in the Wiener algebra of order 2

A method is found for reducing the problem of factorization of an arbitrary matrix-function with a negative total index from a (everywhere dense subalgebra) Wiener algebra of order 2 to the truncated Wiener—Hopf equation. With the help of the obtained method, an effective factorization of one class of matrix functions from the Wiener algebra of order 2 is constructed.