Range characterization of the ray transform on Sobolev spaces of symmetric tensor fields in two dimensions

Divyansh Agrawal, Venkateswaran P. Krishnan, Vladimir A. Sharafutdinov

The ray transform $I_m$ integrates a symmetric $m$ rank tensor field $f$ on ${\mathbb{R}}^n$ over lines. In the case of $n\ge 3$, the range characterization of the operator $I_m$ on w…