We slightly extend a uniqueness theorem for generalized Radon transforms $f \mapsto Rf$ proved in [B2], by giving sharp decay conditions on the function $f$ at infinity.
Jan Boman. "Comment to ``Remarks on modification of Helgason's support theorem. II'' by T. Takiguchi." Proc. Japan Acad. Ser. A Math. Sci. 78 (8) 169 - 171, Oct. 2002. https://doi.org/10.3792/pjaa.78.169