On a Class of Functions Analytic in a Half-Disk and an Associated Interpolation Problem, Journal of Mathematical Analysis and Applications
In this paper we introduce a class of functions analytic in a half disk and for which the Nevanlinna-Pick interpolation problem has a solution in terms of a linear fractional transformation. The method used to solve this problem is that of the fundamental matrix inequality, suitably adapted to the present situation.
D. Alpay and V. Bolotnikov, On a class of functions analytic in a half-disk and an associated interpolation problem, Journal of Mathematical Analysis and Applications, vol. 182 (1994), 1-22.