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Mathematics of the USSR-Izvestiya, 1991, Volume 36, Issue 2, Pages 247–262
DOI: https://doi.org/10.1070/IM1991v036n02ABEH002020 (Mi im1092) 		 
This article is cited in 18 scientific papers (total in 18 papers)

On dilatation theory and spectral analysis of dissipative Schrodinger operators in Weyl's limit-circle case

B. P. Allakhverdiev
English version PDF (760 kB) Citations (18)
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DOI: https://doi.org/10.1070/IM1991v036n02ABEH002020
Abstract: Dissipative Schrödinger operators are studied in Weyl's limit-circle case. A selfadjoint dilation and a spectral model of these operators are constructed and the characteristic function is computed. Theorems on the completeness of the eigenfunctions of the dissipative operators are proved.
Received: 11.03.1988
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1990, Volume 54, Issue 2, Pages 242–257
Bibliographic databases:
UDC: 517.984
MSC: Primary 34B20, 34B25, 47A20; Secondary 46B15, 47B44, 33A40
Language: English
Original paper language: Russian
Citation: B. P. Allakhverdiev, “On dilatation theory and spectral analysis of dissipative Schrodinger operators in Weyl's limit-circle case”, Izv. Akad. Nauk SSSR Ser. Mat., 54:2 (1990), 242–257; Math. USSR-Izv., 36:2 (1991), 247–262
Citation in format AMSBIB
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\by B.~P.~Allakhverdiev
\paper On~dilatation theory and spectral analysis of dissipative Schrodinger operators in Weyl's limit-circle case
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1990
\vol 54
\issue 2
\pages 242--257
\mathnet{http://mi.mathnet.ru/im1092}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1062512}
\zmath{https://zbmath.org/?q=an:0728.47003}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1991IzMat..36..247A}
\transl
\jour Math. USSR-Izv.
\yr 1991
\vol 36
\issue 2
\pages 247--262
\crossref{https://doi.org/10.1070/IM1991v036n02ABEH002020}
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  • https://doi.org/10.1070/IM1991v036n02ABEH002020
  • https://www.mathnet.ru/eng/im/v54/i2/p242
    • This publication is cited in the following 18 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:615
    Russian version PDF:116
    English version PDF:20
    References:58
    First page:1
     
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