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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On the injectivity of the attenuated Radon transform
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by Alexander Hertle PDF
Proc. Amer. Math. Soc. 92 (1984), 201-205 Request permission

Abstract:

We show that the attenuated (exponential) Radon transform ${R_\mu }$, where $\mu$ is assumed to be linear in the space variable, is injective on compactly supported distributions. Moreover, a limited angle reconstruction is possible and a hole theorem holds. We review the well-known special case of constant attenuation.
References
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Additional Information
  • © Copyright 1984 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 92 (1984), 201-205
  • MSC: Primary 44A15; Secondary 65R10, 92A07
  • DOI: https://doi.org/10.1090/S0002-9939-1984-0754703-0
  • MathSciNet review: 754703