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Zapiski Nauchnykh Seminarov POMI, 1997, Volume 244, Pages 295–301 (Mi znsl527)  
On a multidimensional generalization of the tomographic problem

V. N. Sudakov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (154 kB)
Abstract: The main result: if dimension of a Euclidean space with measure is high enough, only the first observation from the long series of observations with random independent choice of projection gives an essential information of the measure.
Received: 13.11.1997
English version:
Journal of Mathematical Sciences (New York), 2000, Volume 99, Issue 2, Pages 1197–1200
DOI: https://doi.org/10.1007/BF02673643
Bibliographic databases:
UDC: 519.2
Language: Russian
Citation: V. N. Sudakov, “On a multidimensional generalization of the tomographic problem”, Probability and statistics. Part 2, Zap. Nauchn. Sem. POMI, 244, POMI, St. Petersburg, 1997, 295–301; J. Math. Sci. (New York), 99:2 (2000), 1197–1200
Citation in format AMSBIB
\Bibitem{Sud97}
\by V.~N.~Sudakov
\paper On a multidimensional generalization of the tomographic problem
\inbook Probability and statistics. Part~2
\serial Zap. Nauchn. Sem. POMI
\yr 1997
\vol 244
\pages 295--301
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl527}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1700396}
\zmath{https://zbmath.org/?q=an:0973.92021}
\transl
\jour J. Math. Sci. (New York)
\yr 2000
\vol 99
\issue 2
\pages 1197--1200
\crossref{https://doi.org/10.1007/BF02673643}
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