On infinite number of negative eigenvalues of the Friedrichs model
Nanosistemy: fizika, himiâ, matematika, Tome 3 (2012) no. 6, pp. 16-24
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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, essential spectrum, discrete spectrum.
Mots-clés : spectra
Mots-clés : spectra
@article{NANO_2012_3_6_a1,
author = {Yu. Kh. \`Eshkabilov},
title = {On infinite number of negative eigenvalues of the {Friedrichs} model},
journal = {Nanosistemy: fizika, himi\^a, matematika},
pages = {16--24},
year = {2012},
volume = {3},
number = {6},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/NANO_2012_3_6_a1/}
}
Yu. Kh. Èshkabilov. On infinite number of negative eigenvalues of the Friedrichs model. Nanosistemy: fizika, himiâ, matematika, Tome 3 (2012) no. 6, pp. 16-24. http://geodesic.mathdoc.fr/item/NANO_2012_3_6_a1/