Matematičeskie zametki, Tome 12 (1972) no. 4, pp. 421-424
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Yu. E. Anikonov. Unique determination of a convex surface and of a function defined on it. Matematičeskie zametki, Tome 12 (1972) no. 4, pp. 421-424. http://geodesic.mathdoc.fr/item/MZM_1972_12_4_a8/
@article{MZM_1972_12_4_a8,
author = {Yu. E. Anikonov},
title = {Unique determination of a convex surface and of a function defined on it},
journal = {Matemati\v{c}eskie zametki},
pages = {421--424},
year = {1972},
volume = {12},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1972_12_4_a8/}
}
TY - JOUR
AU - Yu. E. Anikonov
TI - Unique determination of a convex surface and of a function defined on it
JO - Matematičeskie zametki
PY - 1972
SP - 421
EP - 424
VL - 12
IS - 4
UR - http://geodesic.mathdoc.fr/item/MZM_1972_12_4_a8/
LA - ru
ID - MZM_1972_12_4_a8
ER -
%0 Journal Article
%A Yu. E. Anikonov
%T Unique determination of a convex surface and of a function defined on it
%J Matematičeskie zametki
%D 1972
%P 421-424
%V 12
%N 4
%U http://geodesic.mathdoc.fr/item/MZM_1972_12_4_a8/
%G ru
%F MZM_1972_12_4_a8
In this paper we prove that a convex surface and a function defined on it are uniquely determined if we know the integrals of this function on the illuminated parts and the orthogonal projections of the required convex surface.
