Abstract:
The authors study $n$- and $d$-normality and compute the index of systems of singular integral equations with a semi-almost periodic matrix-valued coefficient $G$, as well as the index of operators of convolution type on the half-line and a finite interval converging to it. At the base of the investigation lies factorization with almost periodic factors of matrix-valued functions describing the asymptotics of $G$ at $\pm\infty$.
Bibliography: 38 titles.