Matematičeskie zametki, Tome 9 (1971) no. 1, pp. 19-26
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Kh. Kh. Murtazin. Spectrum of the nonself-adjoint Schrödinger operator in unbounded regions. Matematičeskie zametki, Tome 9 (1971) no. 1, pp. 19-26. http://geodesic.mathdoc.fr/item/MZM_1971_9_1_a2/
@article{MZM_1971_9_1_a2,
author = {Kh. Kh. Murtazin},
title = {Spectrum of the nonself-adjoint {Schr\"odinger} operator in unbounded regions},
journal = {Matemati\v{c}eskie zametki},
pages = {19--26},
year = {1971},
volume = {9},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1971_9_1_a2/}
}
TY - JOUR
AU - Kh. Kh. Murtazin
TI - Spectrum of the nonself-adjoint Schrödinger operator in unbounded regions
JO - Matematičeskie zametki
PY - 1971
SP - 19
EP - 26
VL - 9
IS - 1
UR - http://geodesic.mathdoc.fr/item/MZM_1971_9_1_a2/
LA - ru
ID - MZM_1971_9_1_a2
ER -
%0 Journal Article
%A Kh. Kh. Murtazin
%T Spectrum of the nonself-adjoint Schrödinger operator in unbounded regions
%J Matematičeskie zametki
%D 1971
%P 19-26
%V 9
%N 1
%U http://geodesic.mathdoc.fr/item/MZM_1971_9_1_a2/
%G ru
%F MZM_1971_9_1_a2
It is proved that the discrete spectrum of the operator $-\Delta+q(x)$ in the space $L_2(E_{2k})$ ($k\geqslant1$) where $q(x)$ is a measurable complex-valued function satisfying the condition $|q(x)|\leqslant Ce^{-\varepsilon|x|}$, having no finite limit points, and for $k=1$ the discrete spectrum consists of a finite number of points.
