Construction of a factorization of a certain class of matrix functions in the Wiener algebra of order two

In this paper a representative class of matrix functions from the Wiener algebra of order 2 is found, which admits effective factorization. The factorization problem for elements of this class reduces to a truncated Wiener–Hopf equation with a contracting integral operator. The latter guarantees, as will be shown in the paper, the existence of canonical factorization and its construction for matrix functions from the class under consideration.