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arXiv · 2110.11212

Range Description of a Conical Radon Transform

Weston Baines
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Abstract

In this work we consider the Conical Radon Transform, which integrates a function on $\R^n$ over families of circular cones. Transforms of this type are known to arise naturally as models of Compton camera imaging and single-scattering optical tomography (in the latter case, when $n=2$). The main results (which depend on the parity of $n$) provide a description of the range of the transform on the space $C_0^\infty(\R^n)$

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Weston Baines. 2021-10-21. Range Description of a Conical Radon Transform. https://arxiv.org/abs/2110.11212

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