## 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
The Carathéodory-Toeplitz Problem for Almost Periodic Functions
✍ Scribed by I.M. Spitkovsky; H.J. Woerdeman
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 368 KB
- Volume
- 115
- Category
- Article
- ISSN
- 0022-1236
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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
## Abstract It is shown that the following conditions are equivalent for the generalized Schur class functions at a boundary point __t__~0~ ∈ 𝕋: 1) Carathéodory–Julia type condition of order __n__; 2) agreeing of asymptotics of the original function from inside and of its continuation by reflection