Plemelj-Muschelishvili factorization

Abstract

This factorization for operator functions with respect to a contour is defined in the beginning of the first section. For scalar and matrix functions it was invented in the beginning of the last century as a tool for solving the linear Riemann-Hilbert boundary problem in complex analysis, singular integral equations and systems of such equations. It serves also as a tool for solving Wiener-Hopf equations and systems of Wiener-Hopf equations, both discrete and continuous. For details see [GK] and [F].