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The transform considered in the paper integrates a function supported in theunit disk on the plane over all circles centered at the boundary of this disk.Such circular Radon transform arises in several contemporary imagingtechniques, as well as in other applications. As it is common for transforms ofRadon type, its range has infinite co-dimension in standard function spaces.Range descriptions for such transforms are known to be very important forcomputed tomography, for instance when dealing with incomplete data, errorcorrection, and other issues. A complete range description for the circularRadon transform is obtained. Range conditions include the recently found set ofmoment type conditions, which happens to be incomplete, as well as the rest ofconditions that have less standard form. In order to explain the procedurebetter, a similar (non-standard) treatment of the range conditions is describedfirst for the usual Radon transform on the plane.

A Range Description for the Planar Circular Radon Transform