Matematičeskie zametki, Tome 7 (1970) no. 2, pp. 255-263
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V.-B. K. Rogov. Eigenfunctions of the Beltrami–Laplace operator on a hyperboloid of one sheet. Matematičeskie zametki, Tome 7 (1970) no. 2, pp. 255-263. http://geodesic.mathdoc.fr/item/MZM_1970_7_2_a14/
@article{MZM_1970_7_2_a14,
author = {V.-B. K. Rogov},
title = {Eigenfunctions of the {Beltrami{\textendash}Laplace} operator on a hyperboloid of one sheet},
journal = {Matemati\v{c}eskie zametki},
pages = {255--263},
year = {1970},
volume = {7},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1970_7_2_a14/}
}
TY - JOUR
AU - V.-B. K. Rogov
TI - Eigenfunctions of the Beltrami–Laplace operator on a hyperboloid of one sheet
JO - Matematičeskie zametki
PY - 1970
SP - 255
EP - 263
VL - 7
IS - 2
UR - http://geodesic.mathdoc.fr/item/MZM_1970_7_2_a14/
LA - ru
ID - MZM_1970_7_2_a14
ER -
%0 Journal Article
%A V.-B. K. Rogov
%T Eigenfunctions of the Beltrami–Laplace operator on a hyperboloid of one sheet
%J Matematičeskie zametki
%D 1970
%P 255-263
%V 7
%N 2
%U http://geodesic.mathdoc.fr/item/MZM_1970_7_2_a14/
%G ru
%F MZM_1970_7_2_a14
The Beltrami–Laplace operator $\Delta$ on a one-sheeted hyperboloid is hyperbolic. There is taken the set of functions bounded outside some neighborhood of two isotropic lines, intersecting at infinity. A necessary and sufficient condition is derived that a function of this set be an eigenfunction of the operator $\Delta$.
