Carathéodory theorem for matrix-valued functions and the maximal jump of spectral functions in extension problems
✍ Scribed by D. Z. Arov
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1990
- Tongue
- English
- Weight
- 414 KB
- Volume
- 48
- Category
- Article
- ISSN
- 0001-4346
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## 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
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
## Abstract The main theme of this paper is the discussion of a parametrized family of solutions of a finite moment problem for rational matrix‐valued functions in the nondegenerate case. We will show that each member of this family is extremal in several directions concerning some point of the ope