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Algebra i Analiz, 2024, Volume 36, Issue 5, Pages 101–127 (Mi aa1940)  
This article is cited in 2 scientific papers (total in 2 papers)

Research Papers

Triangular factorization and functional models of operators and systems

M. I. Belisheva, S. A. Simonovba

a St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
b Alferov Federal State Budgetary Institution of Higher Education and Science Saint Petersburg National Research Academic University of the Russian Academy of Sciences
Full-text PDF (407 kB) First page Citations (2) English version article
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Abstract: The article provides a systematic presentation of an operator pattern that forms the basis of a certain approach to inverse problems in mathematical physics – the boundary control method. The pattern is based on the triangular factorization of operators. Not only solves it inverse problems but also provides functional models for an important class of symmetric semibounded operators. These models are constructed by using an evolutionary dynamical system determined by the operator.
Keywords: triangular factorization of operators, functional models of operators and dynamical systems.
Received: 15.04.2024
English version:
St. Petersburg Mathematical Journal, 2025, Volume 36, Issue 5, Pages 711–730
DOI: https://doi.org/10.1090/spmj/1880
Document Type: Article
Language: Russian
Citation: M. I. Belishev, S. A. Simonov, “Triangular factorization and functional models of operators and systems”, Algebra i Analiz, 36:5 (2024), 101–127; St. Petersburg Math. J., 36:5 (2025), 711–730
Citation in format AMSBIB
\Bibitem{BelSim24}
\by M.~I.~Belishev, S.~A.~Simonov
\paper Triangular factorization and functional models of operators and systems
\jour Algebra i Analiz
\yr 2024
\vol 36
\issue 5
\pages 101--127
\mathnet{http://mi.mathnet.ru/aa1940}
\transl
\jour St. Petersburg Math. J.
\yr 2025
\vol 36
\issue 5
\pages 711--730
\crossref{https://doi.org/10.1090/spmj/1880}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и анализ St. Petersburg Mathematical Journal
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    Abstract page:291
    Full-text PDF :2
    References:98
    First page:70
     
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