Microlocal analysis of a restricted ray transform on symmetric $m$-tensor fields in $\mathbb{R}^n$
Analysis of PDEs
2018-08-03 v1
Abstract
We study the microlocal inversion of the ray transform on symmetric -tensor fields restricted to all lines passing through a curve in . From this incomplete data, we show that the wavefront set of the solenoidal component of a symmetric -tensor field can be recovered modulo a known singular error term.
Keywords
Cite
@article{arxiv.1808.00644,
title = {Microlocal analysis of a restricted ray transform on symmetric $m$-tensor fields in $\mathbb{R}^n$},
author = {Venkateswaran P. Krishnan and Rohit Kumar Mishra},
journal= {arXiv preprint arXiv:1808.00644},
year = {2018}
}