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A Carathéodory theorem for the bidisk via Hilbert space methods

✍ Scribed by Jim Agler; John E. McCarthy; N. J. Young

Book ID: 105873866
Publisher: Springer
Year: 2011
Tongue: English
Weight: 453 KB
Volume: 352
Category: Article
ISSN: 0025-5831
DOI: 10.1007/s00208-011-0650-7

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## Abstract We consider an interpolation problem of Nevanlinna–Pick type for matrix‐valued Carathéodory functions, where the values of the functions and its derivatives up to certain orders are given at finitely many points of the open unit disk. For the non‐degenerate case, i.e., in the particular