Bull. Korean Math. Soc. 2018; 55(6): 1773-1781
Online first article June 27, 2018 Printed November 30, 2018
https://doi.org/10.4134/BKMS.b171064
Copyright © The Korean Mathematical Society.
Yung Duk Cho, Jong Yoon Hyun, Sunghwan Moon
Dongguk University, Korea Institute for Advanced Study (KIAS), Kyungpook National University
The Radon transform introduced by J. Radon in 1917 is the integral transform which is widely applicable to tomography. Here we study the discrete version of the Radon transform. More precisely, when $\mathcal{C}(\mathbb{Z}^n_p)$ is the set of complex-valued functions on $\mathbb{Z}^n_p$. We completely determine the subset of $\mathcal{C}(\mathbb{Z}^n_p)$ whose elements can be recovered from its Radon transform on $\mathbb{Z}^n_p$.
Keywords: classical Radon transform, tomography, inversion formula
MSC numbers: 44A12, 15A03
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