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Mathematics of the USSR-Sbornik, 1986, Volume 53, Issue 2, Pages 421–431
DOI: https://doi.org/10.1070/SM1986v053n02ABEH002930 (Mi sm2093) 		 
This article is cited in 11 scientific papers (total in 11 papers)

The spectral shift function for a dissipative and a selfadjoint operator, and trace formulas for resonances

A. V. Rybkin
English version PDF (570 kB) Citations (11)
References:
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DOI: https://doi.org/10.1070/SM1986v053n02ABEH002930
Abstract: A trace formula is given for an abstract pair consisting of a dissipative operator and a selfadjoint operator, and a connection is established between the spectral shift function of this pair and the corresponding scattering matrix. As a consequence, trace formulas are obtained for a specific dissipative operator arising in the problem of resonance scattering of plane waves on a one-dimensional semi-infinite crystal.
Bibliography: 8 titles.
Received: 19.07.1983
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1984, Volume 125(167), Number 3(11), Pages 420–430
Bibliographic databases:
UDC: 517.98
MSC: Primary 47A40, 47B10, 47B25, 47B44; Secondary 34B25, 47A10, 47A55
Language: English
Original paper language: Russian
Citation: A. V. Rybkin, “The spectral shift function for a dissipative and a selfadjoint operator, and trace formulas for resonances”, Mat. Sb. (N.S.), 125(167):3(11) (1984), 420–430; Math. USSR-Sb., 53:2 (1986), 421–431
Citation in format AMSBIB
\Bibitem{Ryb84}
\by A.~V.~Rybkin
\paper The spectral shift function for a dissipative and a selfadjoint operator, and trace formulas for resonances
\jour Mat. Sb. (N.S.)
\yr 1984
\vol 125(167)
\issue 3(11)
\pages 420--430
\mathnet{http://mi.mathnet.ru/sm2093}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=764904}
\zmath{https://zbmath.org/?q=an:0586.47034|0569.47033}
\transl
\jour Math. USSR-Sb.
\yr 1986
\vol 53
\issue 2
\pages 421--431
\crossref{https://doi.org/10.1070/SM1986v053n02ABEH002930}
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  • https://doi.org/10.1070/SM1986v053n02ABEH002930
  • https://www.mathnet.ru/eng/sm/v167/i3/p420
    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:300
    Russian version PDF:113
    English version PDF:12
    References:54
     
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