Families of Matrix-valued analytic functions depending on two parameters and are introduced. These include as special cases the Schur and Carathéodory functions, as well as classes of functions studied by the authors in  and by D. Alpay and H. Dym in . A two sided Nevanlinna-Pick interpolation problem is defined and solved in , using the fundamental matrix inequality method.
Cite this article
Daniel Alpay, Vladimir Bolotnikov, Two-Sided Nevanlinna-Pick Interpolation for a Class of Matrix-Valued Functions. Z. Anal. Anwend. 12 (1993), no. 2, pp. 211–238DOI 10.4171/ZAA/570