Geodesic
Solvability of the Nevanlinna-Pick interpolation problem
Sbornik. Mathematics, Tome 214 (2023) no. 8, pp. 1066-1100 Cet article a éte moissonné depuis la source Math-Net.Ru

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A solvability theorem is proved for the Nevanlinna-Pick interpolation problem. Its extreme cases are Carathéodory's and Sсhur'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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V. I. Buslaev. Solvability of the Nevanlinna-Pick interpolation problem. Sbornik. Mathematics, Tome 214 (2023) no. 8, pp. 1066-1100. http://geodesic.mathdoc.fr/item/SM_2023_214_8_a1/

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