The papers deals with a finite moment problem for rational matrix-valued functions. We present a necessary and sufficient condition for the solvability of the problem. In the nondegenerate case we construct a particular solution which has interesting extremal properties.
A block completion problem for matrix-valued inner functions
✍ Scribed by B. Fritzsche; B. Kirstein; K. Müller
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 929 KB
- Volume
- 77
- Category
- Article
- ISSN
- 0377-0427
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✦ Synopsis
In this paper, several block completion problems for matrix-valued inner functions are studied,
📜 SIMILAR VOLUMES
## Abstract A (__p__ + __q__) × (__p__ + __q__) matrix‐valued inner function __S__ in the unit disc 𝔻 is called (__p, q__)‐type Arov‐inner if in the block partition . the __p__ × __p__ diagonal block __S__~11~ and the __q__ × __q__ diagonal block __S__~22~ are outer matrix‐valued functions. A holom
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