Schwarz-sche Randwertaufgabe fur eine Klasse der verallgemeinerten analytischen Funktionen
Solution of a linear integral equation of third kind.
Solutions with prescribed periods on the boundary components on non-linear elliptic systems of first order in multiply connected domains in the plane
Solvability of a Riemann linear conjugation problem on a fractal surface.
Spatial Riemann problem for analytic functions of two complex variables.
Spectral factorization of measurable rectangular matrix functions and the vector-valued Riemann problem.
We define spectral factorization in Lp (or a generalized Wiener-Hopf factorization) of a measurable singular matrix function on a simple closed rectifiable contour Γ. Such factorization has the same uniqueness properties as in the nonsingular case. We discuss basic properties of the vector valued Riemann problem whose coefficient takes singular values almost everywhere on Γ. In particular, we introduce defect numbers for this problem which agree with the usual defect numbers in the case of a nonsingular...