An inversion formula for the attenuated X-ray transformation

Arkiv for Matematik

Volumn 40, Issue 1, 2002, Pages 145-167

  Novikov, Roman G ^a  

^a UNIVERSITÉ DE NANTES   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036546781     PISSN: 00042080     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02384507     Document Type: Article

References (21)

1. Range conditions for the multidimensional exponential X-ray transform
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3. A condition of distinguishability of metrics by hodographs
4. An example of non-uniqueness for a generalized Radon transform
5. Support theorems for real-analytic Radon transforms
6. Mathematical aspects of the three-body problem in the quantum scattering theory
7. Uniqueness for the attenuated X-ray transform in the physical range
8. Discrete analogues of ∂̄-equation and of Radon transform
9. On local tomography
10. Three-dimensional model of relativistic-invariant field theory integrable by inverse scattering transform
11. An elementary proof of local invertibility for generalized and attenuated Radon transforms
12. The problem of recovery of a two-dimensional Riemannian metric and integral geometry
13. Small angle scattering and X-ray transform in classical mechanics
14. d from its non-abelian Radon transform along oriented straight lines
15. An inversion method for an attenuated X-ray transform
16. On the problem of emission tomography for nonhomogeneous media
17. The exponential Radon transform