Weighted Radon Transforms of Three-Dimensional SymmetricTensor Fields of Rank Two | Sciact - Система учета научной деятельности ИМ СО РАН

Weighted Radon Transforms of Three-Dimensional SymmetricTensor Fields of Rank Two Научная публикация

Журнал

Siberian Advances in Mathematics
ISSN: 1055-1344 , E-ISSN: 1934-8126

Вых. Данные

Год: 2026, Том: 36, Номер: 1, Страницы: 79-92 Страниц : 13 DOI: 10.1134/s1055134426010086

Ключевые слова

tensor tomography, decomposition o fa tensor field, generalized Radon transform, weighted Radon transform, inversion formula

Авторы

Svetov I.E. ^1,2 , Polyakova A.P. ^1,2

Организации

1	Novosibirsk State University, Novosibirsk, 630090, Russia
2	Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russia

Информация о финансировании (1)

Российский научный фонд

24-21-00200

We study properties of weighted Radon transforms of symmetric 2-tensor fields in R3. We establish connections between weighted Radon transforms of 2-tensor fields and the Radon transform of their potentials. These connections describe the kernel and image of tomographic integral operators acting on tensor fields. We consider formulations of problems on reconstruction of symmetric 2-tensor fields from the values of the normal, longitudinal, and weighted Radon transforms and obtain inversion formulas.

Svetov I.E. , Polyakova A.P.
Weighted Radon Transforms of Three-Dimensional SymmetricTensor Fields of Rank Two
Siberian Advances in Mathematics. 2026. V.36. N1. P.79-92. DOI: 10.1134/s1055134426010086 Scopus OpenAlex

Svetov I.E. , Polyakova A.P.
Весовые преобразования Радона трёхмерных симметричных тензорных полей ранга 2
Математические труды. 2025. Т.28. №4. С.132-157. DOI: 10.25205/1560-750x-2025-28-4-132-157 OpenAlex

≡ Scopus:	2-s2.0-105041799981
≡ OpenAlex:	W7164843295