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Sbornik: Mathematics, 2010, Volume 201, Issue 11, Pages 1599–1634
DOI: https://doi.org/10.1070/SM2010v201n11ABEH004124 (Mi sm7603) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Spectral decomposition of model operators in de Branges spaces

G. M. Gubreeva, A. A. Tarasenkob

a Poltava National Technical University named after Yuri Kondratyuk
b Universidad Autónoma del Estado de Hidalgo
English version PDF (689 kB) Citations (10) Russian version article
References:
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DOI: https://doi.org/10.1070/SM2010v201n11ABEH004124
Abstract: The paper is devoted to studying a class of completely continuous nonselfadjoint operators in de Branges spaces of entire functions. Among other results, a class of unconditional bases of de Branges spaces consisting of values of their reproducing kernels is constructed. The operators that are studied are model operators in the class of completely continuous non-dissipative operators with two-dimensional imaginary parts.
Bibliography: 22 titles.
Keywords: de Branges spaces, nonselfadjoint operators, the Muckenhoupt condition, unconditional bases consisting of values of reproducing kernels.
Received: 16.07.2009 and 24.06.2010
Bibliographic databases:
Document Type: Article
UDC: 517.583+517.518
MSC: Primary 47B32; Secondary 30D15, 46E22, 47A10, 47A70
Language: English
Original paper language: Russian
Citation: G. M. Gubreev, A. A. Tarasenko, “Spectral decomposition of model operators in de Branges spaces”, Sb. Math., 201:11 (2010), 1599–1634
Citation in format AMSBIB
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\vol 201
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\pages 1599--1634
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Linking options:
  • https://www.mathnet.ru/eng/sm7603
  • https://doi.org/10.1070/SM2010v201n11ABEH004124
  • https://www.mathnet.ru/eng/sm/v201/i11/p41
    • This publication is cited in the following 10 articles:
    1. Anton Baranov, “Cauchy–de Branges Spaces, Geometry of Their Reproducing Kernels and Multiplication Operators”, Milan J. Math., 91:1 (2023), 97  crossref
    2. Kochubei A.N., “Non-Archimedean Radial Calculus: Volterra Operator and Laplace Transform”, Integr. Equ. Oper. Theory, 92:6 (2020), 44  crossref  mathscinet  isi
    3. St. Petersburg Math. J., 30:5 (2019), 761–802  mathnet  crossref  mathscinet  isi  elib
    4. Belov Yu., Lyubarskii Yu., “On Summation of Nonharmonic Fourier Series”, Constr. Approx., 43:2 (2016), 291–309  crossref  mathscinet  zmath  isi  scopus
    5. Baranov A.D., Yakubovich D.V., “Completeness and spectral synthesis of nonselfadjoint one-dimensional perturbations of selfadjoint operators”, Adv. Math., 302 (2016), 740–798  crossref  mathscinet  zmath  isi  scopus
    6. A. D. Baranov, D. V. Yakubovich, “One-dimensional perturbations of unbounded selfadjoint operators with empty spectrum”, J. Math. Anal. Appl., 424:2 (2015), 1404–1424  crossref  mathscinet  zmath  isi  elib  scopus
    7. Damir Z. Arov, Harry Dym, Operator Theory, 2015, 753  crossref
    8. DamirZ. Arov, Harry Dym, Operator Theory, 2015, 1  crossref
    9. Damir Z. Arov, Harry Dym, Operator Theory, 2014, 1  crossref
    10. Gennadii Mikhailovich Gubreev, Elena Ivanovna Olefir, “About one class of bases in some spaces of functions analytical in a unit disk”, J Math Sci, 194:5 (2013), 532  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:688
    Russian version PDF:312
    English version PDF:36
    References:86
    First page:30
     
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