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Zapiski Nauchnykh Seminarov POMI, 1999, Volume 257, Pages 298–303
(Mi znsl1001)
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This article is cited in 1 scientific paper (total in 1 paper)
Reqularization problems in three-dimensional ray tomography
V. N. Troyan, G. A. Ryzhikov Saint-Petersburg State University
Abstract:
The connections between the Tikhonov's regularization, the statistical regularization and the potential theory are
considered. It is demonstrated that the use of the Tikhonov's regularization leads to such a form of correlation
operators that may be interpreted as potentials by Coulomb or Yukawa. It is given the physical interpretation
of the ray interaction as “charged” strings with corresponding potentials.
Received: 26.08.1998
Citation:
V. N. Troyan, G. A. Ryzhikov, “Reqularization problems in three-dimensional ray tomography”, Mathematical problems in the theory of wave propagation. Part 28, Zap. Nauchn. Sem. POMI, 257, POMI, St. Petersburg, 1999, 298–303; J. Math. Sci. (New York), 108:5 (2002), 859–862
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https://www.mathnet.ru/eng/znsl1001 https://www.mathnet.ru/eng/znsl/v257/p298
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Abstract page: | 205 | Full-text PDF : | 65 |
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