On the multiple Nevanlinna–Pick interpolation problems in some matrix-valued function classes
✍ Scribed by Huazhang Wu
- Book ID
- 108198747
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 286 KB
- Volume
- 399
- Category
- Article
- ISSN
- 0024-3795
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📜 SIMILAR VOLUMES
Carathéodory matrix-valued function, multiple point Nevanlinna-Pick interpolation problem, trigonometric matrix moment problem, block Toeplitz vector, block Pick matrix, block Toeplitz matrix MSC (2010) 30E05, 47A56 The main theme of this paper is a study of a multiple point Nevanlinna-Pick type in
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
## 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