This article is cited in 8 papers

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

Yu. Kh. Eshkabilov

National University of Uzbekistan, Tashkent, Uzbekistan

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.

Key words: Friedrichs model, spectrum, essential spectrum, discrete spectrum.

UDC: 517.968

Received: 30.10.2009

 English version: Siberian Advances in Mathematics, 2012, 22:1, 1–12

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