The ray transform of symmetric tensor fields with incomplete projection data on convex nonsmooth domain | Sciact - Система учета научной деятельности ИМ СО РАН

The ray transform of symmetric tensor fields with incomplete projection data on convex nonsmooth domain Научная публикация

Журнал

Сибирские электронные математические известия (Siberian Electronic Mathematical Reports)
, E-ISSN: 1813-3304

Вых. Данные

Год: 2024, Том: 21, Номер: 2, Страницы: 1011-1023 Страниц : 13 DOI: 10.33048/semi.2024.21.067

Ключевые слова

tomography with incomplete data, ray transform, tensor analysis

Авторы

Vaytsel N.A. ¹

Организации

1	Novosibirsk State University

We consider the ray transform IΓ that integrates symmetric rank m tensor fields on Rn supported in a bounded convex domain D⊂Rn over lines. The integrals are known for the family Γ of lines l such that endpoints of the segment l∩D belong to a given part γ=∂D∩Rn+ of the boundary, for some half-space Rn+⊂Rn. In this work, we assume that the domain D is convex with a non-smooth boundary. In this case, we prove that the kernel of the operator IΓ coincides with the space of γ-potential tensor fields, which is a generalization of the results obtained in [2].

Vaytsel N.A.
The ray transform of symmetric tensor fields with incomplete projection data on convex nonsmooth domain
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2024. V.21. N2. P.1011-1023. DOI: 10.33048/semi.2024.21.067 WOS Scopus РИНЦ

Поступила в редакцию:	7 мар. 2023 г.
Опубликована в печати:	8 нояб. 2024 г.
Опубликована online:	8 нояб. 2024 г.

Web of science:	WOS:001396421100009
Scopus:	2-s2.0-85212310076
РИНЦ:	82617770

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