On the theory of matrix-valued functions belonging to the Smirnov class
On the theory of matrix-valued functions belonging to the Smirnov class
A theory of matrix-valued functions from the matricial Smirnov class is systematically developed. In particular, the maximum principle of V.I. Smirnov, inner-outer factorization, the Smirnov-Beurling characterization of outer functions and an analogue of Frostman's theorem are presented for matrix-valued functions from the Smirnov class. We also consider a family of …