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ABSTRACT

The Fourier slice theorem holds for the classical Radon transform. In this paper, we consider a fractional Radon transform for which a sort of Fourier slice theorem also holds, and then present an inversion formula. The fractional Radon transform is shown to be characterized by the multi-dimensional case of a wave type of equation in analogy to the classical Radon transform.

Acknowledgments

The authors also wish to thank Prof. Tomoyuki Kakehi for valuable suggestions.

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported by a Grant-in-Aid for Scientific Research (C) (No. 16K05223), Japan Society for the Promotion of Science.

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