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On infinity of the discrete spectrum of operators in the Friedrichs model

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Abstract

The discrete spectrumof selfadjoint operators in the Friedrichs model is studied. Necessary and sufficient conditions of existence of infinitely many eigenvalues in the Friedrichs model are presented. A discrete spectrum of a model three-particle discrete Schrödinger operator is described.

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  1. National University of Uzbekistan, Tashkent, 100174, Uzbekistan

    Yu. Kh. Eshkabilov

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Correspondence to Yu. Kh. Eshkabilov.

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Original Russian Text © Yu. Kh. Eshkabilov, 2011, published in Matematicheskie Trudy, 2011, Vol. 14, No. 1, pp. 195–211.

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Eshkabilov, Y.K. On infinity of the discrete spectrum of operators in the Friedrichs model. Sib. Adv. Math. 22, 1–12 (2012). https://doi.org/10.3103/S1055134412010014

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