Efimov's effect for partial integral operators of fredholm type
Nanosistemy: fizika, himiâ, matematika, Tome 4 (2013) no. 4, pp. 529-537
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We study the existence of an infinite number of eigenvalues (the existence of Efimov's effect) for a self-adjoint partial integral operators. We prove a theorem on the necessary and sufficient conditions for the existence of Efimov's effect for the Fredholm type partial integral operators.
Keywords:
essential spectrum, discrete spectrum, Efimov's effect, partial integral operator.
@article{NANO_2013_4_4_a9,
author = {Yu. Kh. \`Eshkabilov and R. R. Kucharov},
title = {Efimov's effect for partial integral operators of fredholm type},
journal = {Nanosistemy: fizika, himi\^a, matematika},
pages = {529--537},
year = {2013},
volume = {4},
number = {4},
language = {en},
url = {http://geodesic.mathdoc.fr/item/NANO_2013_4_4_a9/}
}
Yu. Kh. Èshkabilov; R. R. Kucharov. Efimov's effect for partial integral operators of fredholm type. Nanosistemy: fizika, himiâ, matematika, Tome 4 (2013) no. 4, pp. 529-537. http://geodesic.mathdoc.fr/item/NANO_2013_4_4_a9/