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

Range Description of a Conical Radon Transform