A uniqueness result for light ray transform on symmetric 2-tensor fields

Autor: Krishnan, Venkateswaran P, Senapati, Soumen, Vashisth, Manmohan
Rok vydání: 2019
Předmět:
Zdroj: Journal of Fourier Analysis and Applications-2020
Druh dokumentu: Working Paper
DOI: 10.1007/s00041-020-09749-3
Popis: We study light ray transform of symmetric 2-tensor fields defined on a bounded time-space domain in $\mathbb{R}^{1+n}$ for $n\geq 3$. We prove a uniqueness result for such light ray transforms. More precisely, we characterize the kernel of the light ray transform vanishing near a fixed direction at each point in the time-space domain.
Databáze: arXiv