Momentum Ray Transforms, II: Range Characterization In the Schwartz space

Venkateswaran P. Krishnan, Ramesh Manna, Suman Kumar Sahoo +1

The momentum ray transform $I^k$ integrates a rank $m$ symmetric tensor field $f$ over lines of ${\mathbb{R}}^n$ with the weight $t^k$: $ (I^k\!f)(x,ξ)=\int_{-\infty}^\infty t^kłf(x+tξ),ξ^…