Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 25, Tome 230 (1995), pp. 253-263
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A. S. Starkov. Transform operators in a two-dimensional inverse problem for a finite domain. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 25, Tome 230 (1995), pp. 253-263. http://geodesic.mathdoc.fr/item/ZNSL_1995_230_a17/
@article{ZNSL_1995_230_a17,
author = {A. S. Starkov},
title = {Transform operators in a~two-dimensional inverse problem for a~finite domain},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {253--263},
year = {1995},
volume = {230},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1995_230_a17/}
}
TY - JOUR
AU - A. S. Starkov
TI - Transform operators in a two-dimensional inverse problem for a finite domain
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1995
SP - 253
EP - 263
VL - 230
UR - http://geodesic.mathdoc.fr/item/ZNSL_1995_230_a17/
LA - ru
ID - ZNSL_1995_230_a17
ER -
%0 Journal Article
%A A. S. Starkov
%T Transform operators in a two-dimensional inverse problem for a finite domain
%J Zapiski Nauchnykh Seminarov POMI
%D 1995
%P 253-263
%V 230
%U http://geodesic.mathdoc.fr/item/ZNSL_1995_230_a17/
%G ru
%F ZNSL_1995_230_a17
An approach to the solution of inverse problems of wave propagation at a fixed frequency based on using transform operators is suggested. A system of integral equations of the Gelfand–Levitan type is obtained. The uniqueness theorem for the refraction index in the analytic case is proved. Bibl. 6 titles.
