Factorization of Matrix Functions and Singular Integral Operators

A few years aga the authors started a project of a book on the theory of systems of one-dimensional singular integral equations which was planned as a continuation of the monograph by one of the authors and N. Ya. Krupnik ~~ concerning scalar equations. This set of notes was initiated as a chapter dealing with problems of factorization of matrix functions vis-a-vis applications to systems of singular integral equations. Working systematically onthischapter and adding along the way new point...