On the injectivity of the attenuated Radon transform

Hertle, Alexander

doi:10.1090/S0002-9939-1984-0754703-0

On the injectivity of the attenuated Radon transform
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by Alexander Hertle

Proc. Amer. Math. Soc. 92 (1984), 201-205

DOI: https://doi.org/10.1090/S0002-9939-1984-0754703-0

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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.

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