Some explicit solutions to the 3 X 3 case of Agler's matrix equation for Nevanlinna-Pick interpolation on the bidisc are provided. Agler showed there exists a holomorphic function bounded by 1 on the bidisc D2 which maps n prescribed points in D2 to n prescribed points in D if and only if there exis
On the Nevanlinna-Pick interpolation problem: Analysis of the McMillan degree of the solutions
✍ Scribed by A. Gombani; György Michaletzky
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 314 KB
- Volume
- 425
- Category
- Article
- ISSN
- 0024-3795
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📜 SIMILAR VOLUMES
Let k be the reproducing kernel for a Hilbert space HðkÞ of analytic functions on B d , the open unit ball in C d , d51. k is called a complete NP kernel if k 0 1 and if 1 À 1=k l ðzÞ is positive definite on B d  B d . Let D be a separable Hilbert space, and consider HðkÞ D ffi Hðk; DÞ, and think o
## 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