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Nanosystems: Physics, Chemistry, Mathematics, 2012, Volume 3, Issue 6, Pages 16–24 (Mi nano713)  
MATHEMATICS

On infinite number of negative eigenvalues of the Friedrichs model

Yu. Kh. Èshkabilov

National University of Uzbekistan named after M. Ulugbek, Tashkent
Full-text PDF (120 kB)
Abstract: The discrete spectrum of a self-adjoint operator in the framework of the Friedrichs model with a positive symmetrical kernel is studied in this paper. Sufficient conditions for the existence of infinite number of negative eigenvalues in the framework of the Friedrichs model are described.
Keywords: Friedrichs model, spectra, essential spectrum, discrete spectrum.
Bibliographic databases:
Document Type: Article
UDC: 517.984.53
Language: Russian
Citation: Yu. Kh. Èshkabilov, “On infinite number of negative eigenvalues of the Friedrichs model”, Nanosystems: Physics, Chemistry, Mathematics, 3:6 (2012), 16–24
Citation in format AMSBIB
\Bibitem{Esh12}
\by Yu.~Kh.~\`Eshkabilov
\paper On infinite number of negative eigenvalues of the Friedrichs model
\jour Nanosystems: Physics, Chemistry, Mathematics
\yr 2012
\vol 3
\issue 6
\pages 16--24
\mathnet{http://mi.mathnet.ru/nano713}
\elib{https://elibrary.ru/item.asp?id=18278458}
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