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This article is cited in 2 scientific papers (total in 2 papers)
Representability of de Branges Matrices as Blaschke–Potapov Products and Completeness of Some Families of Functions
G. M. Gubreeva, A. A. Tarasenkob a 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.
Received: 28.03.2002
Citation:
G. M. Gubreev, A. A. Tarasenko, “Representability of de Branges Matrices as Blaschke–Potapov Products and Completeness of Some Families of Functions”, Mat. Zametki, 73:6 (2003), 841–847; Math. Notes, 73:6 (2003), 796–801
Linking options:
https://www.mathnet.ru/eng/mzm231https://doi.org/10.4213/mzm231 https://www.mathnet.ru/eng/mzm/v73/i6/p841
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