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Matematicheskie Zametki, 1972, Volume 12, Issue 4, Pages 421–424 (Mi mzm9900)  
Unique determination of a convex surface and of a function defined on it

Yu. E. Anikonov

Computer Center, Siberian Branch, Academy of Sciences of the USSR
Full-text PDF (554 kB) English version article
Abstract: 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.
Received: 24.05.1971
English version:
Mathematical Notes, 1972, Volume 12, Issue 4, Pages 685–687
DOI: https://doi.org/10.1007/BF01093674
Bibliographic databases:
Document Type: Article
UDC: 513.73
Language: Russian
Citation: Yu. E. Anikonov, “Unique determination of a convex surface and of a function defined on it”, Mat. Zametki, 12:4 (1972), 421–424; Math. Notes, 12:4 (1972), 685–687
Citation in format AMSBIB
\Bibitem{Ani72}
\by Yu.~E.~Anikonov
\paper Unique determination of a convex surface and of a function defined on it
\jour Mat. Zametki
\yr 1972
\vol 12
\issue 4
\pages 421--424
\mathnet{http://mi.mathnet.ru/mzm9900}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=319123}
\zmath{https://zbmath.org/?q=an:0251.53044}
\transl
\jour Math. Notes
\yr 1972
\vol 12
\issue 4
\pages 685--687
\crossref{https://doi.org/10.1007/BF01093674}
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