On the Weyl matrix balls associated with J-Potapov sequences in both nondegenerate and degenerate cases

In this paper, we discuss the Weyl matrix balls corresponding to an interpolation problem for J-Potapov functions in the open unit disk D, which was studied in [10]. In particular, we derive explicit expressions for the parameters of the Weyl matrix balls in terms of the given data. Furthermore, we examine the monotonicity of the sequences of the Weyl semi-radii. Finally, we discuss central J-Potapov functions, using their associated Weyl matrix balls.