Radon Transform Inversion Formula in the Class of Discontinuous Functions
- 1 June 2024
- journal article
- research article
- Published by Pleiades Publishing Ltd in Journal of Applied and Industrial Mathematics
- Vol. 18 (3) , 379-383
Abstract
We introduce the concept of a pseudoconvex set in an odd-dimensional Euclidean space. The inversion formula is obtained for the Radon transform in the case where the integrand is a piecewise continuous function defined on a pseudoconvex set. The result achieved is a generalization of a previously known property proved for smooth functions.Keywords
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