Radon transformation inversion formula in the class of discontinuous functions Full article
| Journal |
Journal of Applied and Industrial Mathematics
ISSN: 1990-4789 , E-ISSN: 1990-4797 |
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| Output data | Year: 2024, Volume: 18, Number: 3, Pages: 379–383 Pages count : 5 DOI: 10.1134/S1990478924030013 | ||
| Tags | Radontransform, discontinuous functions, pseudoconvex set, probing, tomography, inversion formula. | ||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0009 |
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.
Cite:
Anikonov D.S.
, Konovalova D.S.
Radon transformation inversion formula in the class of discontinuous functions
Journal of Applied and Industrial Mathematics. 2024. V.18. N3. P.379–383. DOI: 10.1134/S1990478924030013 Scopus РИНЦ OpenAlex
Radon transformation inversion formula in the class of discontinuous functions
Journal of Applied and Industrial Mathematics. 2024. V.18. N3. P.379–383. DOI: 10.1134/S1990478924030013 Scopus РИНЦ OpenAlex
Original:
Аниконов Д.С.
, Коновалова Д.С.
Формула обращения преобразования Радона в классе разрывных функций
Сибирский журнал индустриальной математики. 2024. Т.27. №3. С.5-11. DOI: 10.33048/SIBJIM.2024.27.301 РИНЦ
Формула обращения преобразования Радона в классе разрывных функций
Сибирский журнал индустриальной математики. 2024. Т.27. №3. С.5-11. DOI: 10.33048/SIBJIM.2024.27.301 РИНЦ
Dates:
| Submitted: | Jul 4, 2023 |
| Accepted: | May 22, 2024 |
| Published print: | Dec 1, 2024 |
| Published online: | Dec 1, 2024 |
Identifiers:
| Scopus: | 2-s2.0-85211229706 |
| Elibrary: | 75143761 |
| OpenAlex: | W4404901203 |
Citing:
Пока нет цитирований