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Matematicheskie Trudy, 2008, Volume 11, Number 2, Pages 107–114 (Mi mt126)  
On convexity of a planar domain with a pair of concave tomography projections

V. P. Golubyatnikov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
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Abstract: We describe simple sufficient conditions on tomography-type measurements of a planar set which imply convexity of this set. The cases of partial convexity and higher-dimensional sets are considered as well.
Key words: convexity, concavity, geometric tomography, rearrangement of a function.
Received: 07.12.2007
English version:
Siberian Advances in Mathematics, 2009, Volume 19, Issue 2, Pages 85–90
DOI: https://doi.org/10.3103/S1055134409020023
Bibliographic databases:
UDC: 514.17
Language: Russian
Citation: V. P. Golubyatnikov, “On convexity of a planar domain with a pair of concave tomography projections”, Mat. Tr., 11:2 (2008), 107–114; Siberian Adv. Math., 19:2 (2009), 85–90
Citation in format AMSBIB
\Bibitem{Gol08}
\by V.~P.~Golubyatnikov
\paper On convexity of a~planar domain with a~pair of concave tomography projections
\jour Mat. Tr.
\yr 2008
\vol 11
\issue 2
\pages 107--114
\mathnet{http://mi.mathnet.ru/mt126}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2500126}
\elib{https://elibrary.ru/item.asp?id=11715522}
\transl
\jour Siberian Adv. Math.
\yr 2009
\vol 19
\issue 2
\pages 85--90
\crossref{https://doi.org/10.3103/S1055134409020023}
\elib{https://elibrary.ru/item.asp?id=13601468}
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    		Математические труды Siberian Advances in Mathematics
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