This paper reviews the modern state of the Wiener–Hopf factorization method and its
generalizations. The main constructive results for matrix Wiener–Hopf problems are …

A survey of constructive methods for the factorization of matrix-functions is presented. The
importance of these methods for theoretical and practical applications is singled out. Several …

It is well known that a Toeplitz operator is invertible if and only if its symbols admits a
canonical Wiener–Hopf factorization, where the factors satisfy certain conditions. A similar …

RETRACTED ARTICLE: Factorization of Triangular Matrix-Functions of an Arbitrary Order |
Lobachevskii Journal of Mathematics Skip to main content SpringerLink Account Menu Find a …

A novel method of asymptotic factorization of n× n matrix functions is proposed. The
considered class of matrices is motivated by certain problems originated from the elasticity …

For the Wiener–Hopf factorization of 2× 2 matrix functions G defined on a closed Carleson
curve Γ, transformations G↦ UGV where U and V are invertible rational 2× 2 matrix functions …

A new effective method for factorization of a class of nonrational n× n matrix‐functions with
stable partial indices is proposed. The method is a generalization of one recently proposed …

The solution of the Riemann problem with a piecewise constant matrix is constructed. The
obtained result is expressed in terms of solutions of a differential equation of Fuchs class. To …

In this paper, the Wiener–Hopf factorization problem is presented in a unified framework with
the Riemann–Hilbert factorization. This allows to establish the exact relationship between …

The possible instability of partial indices is one of the important constraints in the creation of
approximate methods for the factorization of matrix functions. This paper is devoted to a …