- Current Issue - Ahead of Print Articles - All Issues - Search - Open Access - Information for Authors - Downloads - Guideline - Regulations ㆍPaper Submission ㆍPaper Reviewing ㆍPublication and Distribution - Code of Ethics - For Authors ㆍOnlilne Submission ㆍMy Manuscript - For Reviewers - For Editors
 Inversion of the classical Radon transform on $\mathbb{Z}^n_p$ Bull. Korean Math. Soc. 2018 Vol. 55, No. 6, 1773-1781 https://doi.org/10.4134/BKMS.b171064Published online June 27, 2018Printed November 30, 2018 Yung Duk Cho, Jong Yoon Hyun, Sunghwan Moon Dongguk University, Korea Institute for Advanced Study (KIAS), Kyungpook National University Abstract : 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 Downloads: Full-text PDF