Geodesic
The finiteness of the discrete spectrum of a~model operator associated with a~system of three particles on a~lattice
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2014), pp. 61-70

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We consider a model operator $H$ associated with a system of three particles on a lattice interacting via nonlocal pair potentials. Under some natural conditions on the parameters specifying this model operator $H$, we prove the finiteness of its discrete spectrum.
Keywords: discrete spectrum, nonlocal potential, continuity in the uniform operator topology, Hilbert–Schmidt class, Weinberg equation. 
@article{IVM_2014_1_a5,
     author = {T. Kh. Rasulov and R. T. Mukhitdinov},
     title = {The finiteness of the discrete spectrum of a~model operator associated with a~system of three particles on a~lattice},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {61--70},
     publisher = {mathdoc},
     number = {1},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2014_1_a5/}
}
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T. Kh. Rasulov; R. T. Mukhitdinov. The finiteness of the discrete spectrum of a~model operator associated with a~system of three particles on a~lattice. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2014), pp. 61-70. http://geodesic.mathdoc.fr/item/IVM_2014_1_a5/