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Zapiski Nauchnykh Seminarov POMI, 1994, Volume 216, Pages 76–85 (Mi znsl5947)  
This article is cited in 2 scientific papers (total in 2 papers)

Non-stability of the inversion of the Radon transform

A. Yu. Zaitsev

St. Petersburg Department of V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences
Full-text PDF (463 kB) Citations (2)
Abstract: Several examples of the distributions on the plane for which the distance in variation between their projections on an arbitrary one-dimensional direction is less or equal to $\varepsilon$, but the uniform distance between their two-dimensional distribution functions is equal to $1/2$, are constructed. Bibliography: 12 titles.
Received: 10.11.1993
English version:
Journal of Mathematical Sciences (New York), 1998, Volume 88, Issue 1, Pages 53–58
DOI: https://doi.org/10.1007/BF02363262
Bibliographic databases:
Document Type: Article
UDC: 519.2
Language: Russian
Citation: A. Yu. Zaitsev, “Non-stability of the inversion of the Radon transform”, Problems of the theory of probability distributions. Part 13, Zap. Nauchn. Sem. POMI, 216, Nauka, St. Petersburg, 1994, 76–85; J. Math. Sci. (New York), 88:1 (1998), 53–58
Citation in format AMSBIB
\Bibitem{Zai94}
\by A.~Yu.~Zaitsev
\paper Non-stability of the inversion of the Radon transform
\inbook Problems of the theory of probability distributions. Part~13
\serial Zap. Nauchn. Sem. POMI
\yr 1994
\vol 216
\pages 76--85
\publ Nauka
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5947}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1327267}
\zmath{https://zbmath.org/?q=an:0866.44002|0898.44002}
\transl
\jour J. Math. Sci. (New York)
\yr 1998
\vol 88
\issue 1
\pages 53--58
\crossref{https://doi.org/10.1007/BF02363262}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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