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