BIERMAN-SCHWINGER PRINCIPLE FOR A SINGLE MODEL PARTIAL-INTEGRAL OPERATOR
Keywords:integral operators, Biermann Schwinger principle
The article deals with a model operator consisting of a set of two special integral operators. Important spectra of the model operator K. The BiermannSchwinger principle is proved for the operator K, i.e. the number of eigenvalues to the left of the number of the operator K is equal to the number of eigenvalues greater than 1 for some compact operators
Reed M., Simon B., Methods of Modern Mathematical Physics. M.: Mir. 1977, 1, Functional Analysis.
S.N.. Lakaev, I.N. Khairullaev "Completeness of the system of eigenvectors of the model operator of several particles"Reportsofthe demiya of sciences of the Republic of Uzbekistan«Fan» Nashriyoti Toshkent. 2001.
I.N.Xairullaev " Spectrum and result of the gamiltonian of one system with an unpreserved limited number of particles"
Uzbek Mathematical Journal 6, 1999, 70-78
Sobolev A.V.: The Efimov effect. Discrete asymptotics, Commun .Math. Phys. 156 (1993), 127-168.
M.E.Muminov. On the expression of the number of eigenvalues of the Friedrichs model. Mathematical Notes, Vol. 82, 2007, No. 1, pp. 75-83.
How to Cite
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.