A Characterization of the Range of the Divergent Beamx-Ray Transform
Authors:
- David V. FinchDFDavid V. Finch
- Donald C. SolmonDSDonald C. Solmon
- 1 July 1983
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Mathematical Analysis
- Vol. 14 (4) , 767-771
Abstract
In this paper we give a characterization of the range of the divergent beam x-ray transform when the source set is a sphere. The result is analogous to the theorem of Helgason [Acta. Math., 113 (1965), pp. 153–180] and Ludwig [Comm. Pure Appl. Math., 69 (1966), pp. 49–81] on the range of the Radon transform.Keywords
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