%0 Journal Article
%T The Nevanlinna-Pick matrix interpolation in the Carath¨¦odory class with infinite data both in the nondegenerate and degenerate cases
%A Sergey M. Zagorodnyuk
%J Mathematics
%D 2011
%I arXiv
%X In this paper we study the Nevanlinna-Pick matrix interpolation problem in the Carath\'eodory class with infinite data (both in the nondegenerate and degenerate cases). We develop the Sz\"okefalvi-Nagy and Kor\'anyi operator approach to obtain an analytic description of all solutions of the problem. Simple necessary and sufficient conditions for the determinacy of the problem are given.
%U http://arxiv.org/abs/1109.1432v1