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This research has been supported by the National Science Foundation under grant No. 7801980
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Petersen, B.E., Smith, K.T. & Solmon, D.C. Sums of plane waves, and the range of the Radon transform. Math. Ann. 243, 153–161 (1979). https://doi.org/10.1007/BF01420422
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DOI: https://doi.org/10.1007/BF01420422