Geodesic
Non-compact perturbations of the spectrum of multipliers given with functions
Nanosistemy: fizika, himiâ, matematika, Tome 12 (2021) no. 2, pp. 135-141 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The change in the spectrum of the multipliers $H_0f(x,y)=x^\alpha+y^\beta f(x,y)$ and $H_0 f(x,y)=x^\alpha y^\beta f(x,y)$ for perturbation with partial integral operators in the spaces $L_2[0,1]^2$ is studied. Precise description of the essential spectrum and the existence of simple eigenvalue is received. We prove that the number of eigenvalues located below the lower edge of the essential spectrum in the model is finite.
Keywords: essential spectrum, discrete spectrum, lower bound of the essential spectrum, partial integral operator. 
@article{NANO_2021_12_2_a0,
     author = {R. R. Kucharov and R. R. Khamraeva},
     title = {Non-compact perturbations of the spectrum of multipliers given with functions},
     journal = {Nanosistemy: fizika, himi\^a, matematika},
     pages = {135--141},
     year = {2021},
     volume = {12},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/NANO_2021_12_2_a0/}
}
TY  - JOUR
AU  - R. R. Kucharov
AU  - R. R. Khamraeva
TI  - Non-compact perturbations of the spectrum of multipliers given with functions
JO  - Nanosistemy: fizika, himiâ, matematika
PY  - 2021
SP  - 135
EP  - 141
VL  - 12
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/NANO_2021_12_2_a0/
LA  - en
ID  - NANO_2021_12_2_a0
ER  - 
%0 Journal Article
%A R. R. Kucharov
%A R. R. Khamraeva
%T Non-compact perturbations of the spectrum of multipliers given with functions
%J Nanosistemy: fizika, himiâ, matematika
%D 2021
%P 135-141
%V 12
%N 2
%U http://geodesic.mathdoc.fr/item/NANO_2021_12_2_a0/
%G en
%F NANO_2021_12_2_a0
R. R. Kucharov; R. R. Khamraeva. Non-compact perturbations of the spectrum of multipliers given with functions. Nanosistemy: fizika, himiâ, matematika, Tome 12 (2021) no. 2, pp. 135-141. http://geodesic.mathdoc.fr/item/NANO_2021_12_2_a0/