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http://dx.doi.org/10.4134/BKMS.b190253

GLOBAL UNIQUENESS FOR THE RADON TRANSFORM  

Takiguchi, Takashi (Department of Mathematics National Defense Academy of Japan)
Publication Information
Bulletin of the Korean Mathematical Society / v.57, no.3, 2020 , pp. 597-605 More about this Journal
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 ∈ L1 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;
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