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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 1994 Volume 216, Pages 76–85 (Mi znsl5947)

This article is cited 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

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.

UDC: 519.2

Received: 10.11.1993


 English version:
Journal of Mathematical Sciences (New York), 1998, 88:1, 53–58

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