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

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.