Abstract: 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].

Cite: 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

Dates:

Submitted:	Mar 7, 2023
Published print:	Nov 8, 2024
Published online:	Nov 8, 2024

Identifiers:

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

Citing: Пока нет цитирований

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