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Matematicheskie Zametki, 2003, Volume 73, Issue 6, Pages 841–847
DOI: https://doi.org/10.4213/mzm231 (Mi mzm231) 		 
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
Full-text PDF (206 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm231
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
English version:
Mathematical Notes, 2003, Volume 73, Issue 6, Pages 796–801
DOI: https://doi.org/10.1023/A:1024045712587
Bibliographic databases:
UDC: 517.58
Language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    1. G. M. Gubreev, A. A. Tarasenko, “Spectral decomposition of model operators in de Branges spaces”, Sb. Math., 201:11 (2010), 1599–1634  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    2. Kaltenback M., Woracek H., “Schmidt-Representation of Difference Quotient Operators”, Extended Field of Operator Theory, Operator Theory : Advances and Applications, 171, ed. Dritschel M., Birkhauser Verlag Ag, 2007, 147–170  crossref  mathscinet  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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