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Zapiski Nauchnykh Seminarov POMI, 1997, Volume 244, Pages 181–185 (Mi znsl530)  

On reconstruction of the density based on the finite set of Radon's transformation

L. B. Klebanovab, L. A. Khalfina

a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
b St. Petersburg State University of Architecture and Civil Engineering
Abstract: In this paper we give the estimates of the approximate (in the different metrixes) reconstruction of the smoothed density based on the finite set of Radon's transformation for the different smoothing kernels.
Received: 05.09.1997
English version:
Journal of Mathematical Sciences (New York), 2000, Volume 99, Issue 2, Pages 1127–1129
DOI: https://doi.org/10.1007/BF02673634
Bibliographic databases:
UDC: 519.2
Language: Russian
Citation: L. B. Klebanov, L. A. Khalfin, “On reconstruction of the density based on the finite set of Radon's transformation”, Probability and statistics. Part 2, Zap. Nauchn. Sem. POMI, 244, POMI, St. Petersburg, 1997, 181–185; J. Math. Sci. (New York), 99:2 (2000), 1127–1129
Citation in format AMSBIB
\Bibitem{KleKha97}
\by L.~B.~Klebanov, L.~A.~Khalfin
\paper On reconstruction of the density based on the finite set of Radon's transformation
\inbook Probability and statistics. Part~2
\serial Zap. Nauchn. Sem. POMI
\yr 1997
\vol 244
\pages 181--185
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl530}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1700388}
\zmath{https://zbmath.org/?q=an:0952.62031}
\transl
\jour J. Math. Sci. (New York)
\yr 2000
\vol 99
\issue 2
\pages 1127--1129
\crossref{https://doi.org/10.1007/BF02673634}
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