Spectral factorization of measurable rectangular matrix functions and the vector-valued Riemann problem (Q679201)

The authors consider the problem of factorization of measurable singular matrix valued functions under sufficiently general assumptions according the contours. In particular, they assume that the contour may be a simple closed rectifiable curve and show that such factorization has analogous properties as in the nonsingular case. The connection between this factorization and boundary vector-valued Riemann problem are also considered.