Abstract:
A solvability theorem is proved for the Nevanlinna-Pick interpolation problem. Its extreme cases are Carathéodory's and Sñhur's criteria on the one hand (when all interpolation points coincide) and the Krein-Rekhtman theorem on the other (when the interpolation points are pairwise distinct).
Bibliography: 19 titles.
Keywords:Carath'eodory functions, Nevanlinna functions, Schur functions, moment problem, Krein-Rekhtman theorem.
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