Matematičeskie zametki, Tome 18 (1975) no. 6, pp. 831-843
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N. E. Firsova. An inverse scattering problem for a perturbed Hill's operator. Matematičeskie zametki, Tome 18 (1975) no. 6, pp. 831-843. http://geodesic.mathdoc.fr/item/MZM_1975_18_6_a4/
@article{MZM_1975_18_6_a4,
author = {N. E. Firsova},
title = {An inverse scattering problem for a~perturbed {Hill's} operator},
journal = {Matemati\v{c}eskie zametki},
pages = {831--843},
year = {1975},
volume = {18},
number = {6},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1975_18_6_a4/}
}
TY - JOUR
AU - N. E. Firsova
TI - An inverse scattering problem for a perturbed Hill's operator
JO - Matematičeskie zametki
PY - 1975
SP - 831
EP - 843
VL - 18
IS - 6
UR - http://geodesic.mathdoc.fr/item/MZM_1975_18_6_a4/
LA - ru
ID - MZM_1975_18_6_a4
ER -
%0 Journal Article
%A N. E. Firsova
%T An inverse scattering problem for a perturbed Hill's operator
%J Matematičeskie zametki
%D 1975
%P 831-843
%V 18
%N 6
%U http://geodesic.mathdoc.fr/item/MZM_1975_18_6_a4/
%G ru
%F MZM_1975_18_6_a4
We consider the inverse scattering problem for the operator $L=-d^2/dx^2+p(x)+q(x)$, $x\in R^1$. The perturbation potential $q$ is expressed in terms of the periodic potential $p$ and the scattering data. We also obtain identities for the eigenfunctions of the unperturbed Hill's operator $L_0=-d^2/dx^2+p(x)$.
