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 Global uniqueness for the Radon transform Bull. Korean Math. Soc. 2020 Vol. 57, No. 3, 597-605 https://doi.org/10.4134/BKMS.b190253Published online May 7, 2020Printed May 31, 2020 Takashi Takiguchi National Defense Academy of Japan Abstract : In this article, we discuss the global uniqueness problem for the Radon transform. It is not sufficient for the global uniqueness for the Radon transform to assume that the Radon transform $Rf$ for a function $f$ absolutely converges on any hyperplane. It is also known that it is sufficient to assume that $f \in L^1$ for the global uniqueness to hold. There exists a big gap between the above two conditions, to fill which is our purpose in this paper. We shall give a better sufficient condition for the global uniqueness of the Radon transform. Keywords : The Radon transform, holomorphic functions, hyperfunctions MSC numbers : 44A12, 46F15, 46F20 Supported by : The author was supported in part by JSPS Grant-in-Aid for Scientific Research (C) 26400184. Downloads: Full-text PDF   Full-text HTML