An inversion formula for the attenuated X-ray transformation

Roman G. Novikov

doi:10.1016/S0764-4442(01)01965-6

An inversion formula for the attenuated X-ray transformation

Roman G. Novikov

Research output: Contribution to journal › Article › peer-review

Abstract

The problem of inversion of the attenuated X-ray transformation P_a is solved by an explicit formula. The problem of range characterization for P_a in dimension 2 is solved (on a preliminary level) by other explicit formula.

Original language	English
Pages (from-to)	1059-1063
Number of pages	5
Journal	Comptes Rendus de l'Academie des Sciences - Series I: Mathematics
Volume	332
Issue number	12
DOIs	https://doi.org/10.1016/S0764-4442(01)01965-6
Publication status	Published - 15 Jun 2001

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title = "An inversion formula for the attenuated X-ray transformation",

abstract = "The problem of inversion of the attenuated X-ray transformation Pa is solved by an explicit formula. The problem of range characterization for Pa in dimension 2 is solved (on a preliminary level) by other explicit formula.",

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JF - Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

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ER -

An inversion formula for the attenuated X-ray transformation

Abstract

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