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.
@article{NANO_2024_15_1_a3,
author = {Ramziddin R. Kucharov and Tillohon M. Tuxtamurodova},
title = {Non-compact perturbation of the spectrum of multipliers given by a special form},
journal = {Nanosistemy: fizika, himi\^a, matematika},
pages = {31--36},
year = {2024},
volume = {15},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/NANO_2024_15_1_a3/}
}
TY - JOUR AU - Ramziddin R. Kucharov AU - Tillohon M. Tuxtamurodova TI - Non-compact perturbation of the spectrum of multipliers given by a special form JO - Nanosistemy: fizika, himiâ, matematika PY - 2024 SP - 31 EP - 36 VL - 15 IS - 1 UR - http://geodesic.mathdoc.fr/item/NANO_2024_15_1_a3/ LA - en ID - NANO_2024_15_1_a3 ER -
%0 Journal Article %A Ramziddin R. Kucharov %A Tillohon M. Tuxtamurodova %T Non-compact perturbation of the spectrum of multipliers given by a special form %J Nanosistemy: fizika, himiâ, matematika %D 2024 %P 31-36 %V 15 %N 1 %U http://geodesic.mathdoc.fr/item/NANO_2024_15_1_a3/ %G en %F NANO_2024_15_1_a3
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/