This article is cited in 2 papers

Representability of de Branges Matrices as Blaschke–Potapov Products and Completeness of Some Families of Functions

G. M. Gubreev^a, A. A. Tarasenko<sup>b

a</sup> South Ukrainian State K. D. Ushynsky Pedagogical University
^b Universidad Autónoma del Estado de Hidalgo

Abstract: Criteria for the representability of meromorphic second-order matrix functions $J$-expanding in the upper half-plane (de Branges matrices) as left, right, and two-sided Blaschke–Potapov products are stated. Results on the spectral structure of operators whose characteristic matrix functions are de Branges matrices are obtained.

UDC: 517.58

Received: 28.03.2002

DOI: 10.4213/mzm231

 English version: Mathematical Notes, 2003, 73:6, 796–801

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