THE RAY TRANSFORM OF SYMMETRIC TENSOR FIELDS WITH INCOMPLETE PROJECTION DATA, I: THE KERNEL OF THE RAY TRANSFORM Full article
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Сибирские электронные математические известия (Siberian Electronic Mathematical Reports)
, E-ISSN: 1813-3304 |
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| Output data | Year: 2021, Volume: 18, Number: 2, Pages: 1219-1237 Pages count : 19 DOI: 10.33048/SEMI.2021.18.093 | ||
| Tags | Ray transform; Tensor analysis; Tomography with incomplete data | ||
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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 [Formula Presented] of the boundary, for some half-space Rn+ ⊂ Rn. We prove that the kernel of the operator IΓ coincides with the space of γ-potential tensor fields © 2021 Sharafutdinov V.A
Cite:
Sharafutdinov V.A.
THE RAY TRANSFORM OF SYMMETRIC TENSOR FIELDS WITH INCOMPLETE PROJECTION DATA, I: THE KERNEL OF THE RAY TRANSFORM
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2021. V.18. N2. P.1219-1237. DOI: 10.33048/SEMI.2021.18.093 WOS Scopus OpenAlex
THE RAY TRANSFORM OF SYMMETRIC TENSOR FIELDS WITH INCOMPLETE PROJECTION DATA, I: THE KERNEL OF THE RAY TRANSFORM
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2021. V.18. N2. P.1219-1237. DOI: 10.33048/SEMI.2021.18.093 WOS Scopus OpenAlex
Identifiers:
| Web of science: | WOS:000734395000013 |
| Scopus: | 2-s2.0-85124124371 |
| OpenAlex: | W4205469554 |