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  • The classical moment problem and generalized indefinite strings
    Eckhardt, Jonathan ; Kostenko, Aleksej Sergejevič, 1980-
    We show that the classical Hamburger moment problem can be included in the spectral theory of generalized indefinite strings. Namely, we introduce the class of Krein-Langer strings and show that ... there is a bijective correspondence between moment sequences and this class of generalized indefinite strings. This result can be viewed as a complement to the classical results of M. G. Krein on the connection between the Stieltjes moment problem and Krein-Stieltjes strings and I. S. Kac on the connection between the Hamburger moment problem and ▫$2 \times 2$▫ canonical systems with Hamburger Hamiltonians.
    Vir: Integral equations and operator theory. - ISSN 0378-620X (Vol. 90, iss. 2, April. 2018, art. 23 (30 str.))
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2018
    Jezik - angleški
    COBISS.SI-ID - 18468185

    Povezava(-e):

    https://doi.org/10.1007/s00020-018-2446-6
    DOI

vir: Integral equations and operator theory. - ISSN 0378-620X (Vol. 90, iss. 2, April. 2018, art. 23 (30 str.))
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