Geodesic
Non-compact perturbation of the spectrum of multipliers given by a special form
Nanosistemy: fizika, himiâ, matematika, Tome 15 (2024) no. 1, pp. 31-36.

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In this paper, the change of the spectrum of multiplier $H_0f(x,y)=k_0(x,y)f(x,y)$ for perturbation with non-compact partially integral operators is studied. In addition, the existence of resonance is investigated in the model $H =H_0-(\gamma_1T_1+\gamma_2T_2)$.
Keywords: essential spectrum, discrete spectrum, lower bound of the essential spectrum, non-compact partial integral operator, resonance with zero energy. 
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     author = {Ramziddin R. Kucharov and Tillohon M. Tuxtamurodova},
     title = {Non-compact perturbation of the spectrum of multipliers given by a special form},
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Ramziddin R. Kucharov; Tillohon M. Tuxtamurodova. Non-compact perturbation of the spectrum of multipliers given by a special form. Nanosistemy: fizika, himiâ, matematika, Tome 15 (2024) no. 1, pp. 31-36. http://geodesic.mathdoc.fr/item/NANO_2024_15_1_a3/