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arXiv · 1808.00644

Microlocal analysis of a restricted ray transform on symmetric $m$-tensor fields in $\mathbb{R}^n$

Venkateswaran P. Krishnan·Rohit Kumar Mishra
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Abstract

We study the microlocal inversion of the ray transform on symmetric $m$-tensor fields restricted to all lines passing through a curve in $\mathbb{R}^{n}$. From this incomplete data, we show that the wavefront set of the solenoidal component of a symmetric $m$-tensor field can be recovered modulo a known singular error term.

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Venkateswaran P. Krishnan, Rohit Kumar Mishra. 2018-08-02. Microlocal analysis of a restricted ray transform on symmetric $m$-tensor fields in $\mathbb{R}^n$. https://arxiv.org/abs/1808.00644

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