Microlocal inversion of a 3-dimensional restricted transverse ray transform of symmetric $m$-tensor fields

Abstract

We study the problem of inverting a restricted transverse ray transform to recover a symmetric $m$-tensor field in ${\mathbb{R}}^3$ using microlocal analysis techniques. More precisely, we prove that a symmetric $m$-tensor field can be recovered up to a known singular term and a smoothing term if its transverse ray transform is known along all lines intersecting a fixed smooth curve satisfying the Kirillov-Tuy condition.

arXiv admin note: text overlap with arXiv:1808.00644