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arxiv: 1808.00644 · v1 · pith:AHGORFPLnew · submitted 2018-08-02 · 🧮 math.AP

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

classification 🧮 math.AP
keywords symmetrictensorfieldsmathbbmicrolocalrestrictedtransformanalysis
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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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