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On an interpolation problem for J-Potapov functions

✍ Scribed by Bernd Fritzsche; Bernd Kirstein; Uwe Raabe

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
668 KB
Volume
434
Category
Article
ISSN
0024-3795

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✦ Synopsis

The main goal of this paper is the study of an analogue of the matricial Schur problem for the Potapov class P J (D) of J-contractive meromorphic functions in the open unit disk D. Using an approach which is based on an analysis of J-central J-Potapov functions, we will solve this problem in the most general case. Moreover, in the nondegenerate case we will give a description of the corresponding Weyl matrix balls. Furthermore, we will investigate the limit behaviour of the Weyl matrix balls associated with the functions belonging to some particular subclass of P J (D).

πŸ“œ SIMILAR VOLUMES

Multipliers for Entire Functions and an
Multipliers for Entire Functions and an Interpolation Problem of Beurling
✍ Joaquim Ortega-CerdΓ ; Kristian Seip πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 160 KB

We characterize the interpolating sequences for the Bernstein space of entire functions of exponential type, in terms of a Beurling-type density condition and a Carleson-type separation condition. Our work extends a description previously given by Beurling in the case that the interpolating sequence