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Nonstability of the inversion of the radon transform

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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 than or equal to ε, but the uniform distance between their two-dimensional distribution functions is equal to 1/2, are constructed. Bibliography: 12 titles.

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Authors
  1. A. Yu. Zaitsev
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Additional information

Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 216, 1994, pp. 76–85.

Translated by the author.

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Zaitsev, A.Y. Nonstability of the inversion of the radon transform. J Math Sci 88, 53–58 (1998). https://doi.org/10.1007/BF02363262

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