Geodesic
Radon transform inversion formula in the class of discontinuous functions
Sibirskij žurnal industrialʹnoj matematiki, Tome 27 (2024) no. 3, pp. 5-11 Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
Mots-clés : Radon transform, inversion formula.
Keywords: discontinuous functions, pseudoconvex set, probing, tomography 
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D. S. Anikonov; D. S. Konovalova. Radon transform inversion formula in the class of discontinuous functions. Sibirskij žurnal industrialʹnoj matematiki, Tome 27 (2024) no. 3, pp. 5-11. http://geodesic.mathdoc.fr/item/SJIM_2024_27_3_a0/

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