Boundary interpolation and rigidity for generalized Nevanlinna functions
✍ Scribed by Daniel Alpay; Aad Dijksma; Heinz Langer; Simeon Reich; David Shoikhet
- Publisher
- John Wiley and Sons
- Year
- 2010
- Tongue
- English
- Weight
- 288 KB
- Volume
- 283
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
We solve a boundary interpolation problem at a real point for generalized Nevanlinna functions, and use the result to prove uniqueness theorems for generalized Nevanlinna functions (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
📜 SIMILAR VOLUMES
## Abstract Generalized poles of a generalized Nevanlinna function __Q__ ∈ 𝒩~__κ__~ (ℋ︁) are defined in terms of the operator representation of __Q__ . In this paper those generalized poles that are not of positive type and their degrees of non‐positivity are characterized analytically by means of
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