Geodesic
Some spectral properties of a~generalized Friedrichs~model
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2011), pp. 181-188

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{We consider self-adjoint generalized Friedrichs model $h(p)$, $p \in {\mathcal T}^3$ (${\mathcal T}^3$ is the three-dimensional torus), in the case where the parameter functions $w_1$ and $w_2$ of this operator has the special forms. These functions has non-degenerate minimum at the several different points. Threshold effects for the considering operator are studied depending on the minimum points of $w_2$.
Keywords: generalized Friedrichs model, zero energy resonance, eigenvalue, Fredholm determinant. 
@article{VSGTU_2011_2_a22,
     author = {T. H. Rasulov and Kh. Kh. Turdiev},
     title = {Some spectral properties of a~generalized {Friedrichs~model}},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {181--188},
     publisher = {mathdoc},
     number = {2},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGTU_2011_2_a22/}
}
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T. H. Rasulov; Kh. Kh. Turdiev. Some spectral properties of a~generalized Friedrichs~model. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2011), pp. 181-188. http://geodesic.mathdoc.fr/item/VSGTU_2011_2_a22/