On the inversion of the momenta ray transform of symmetric tensors in the plane

We present a reconstruction method which stably recovers some sufficiently smooth, real valued, symmetric tensor fields compactly supported in the Euclidean plane, from knowledge of their non/attenuated momenta ray transform. The reconstruction method extends Bukhgeim's $A$-analytic theory from an equation to a system.Comment: 20 pages, 1 figure. arXiv admin note: substantial text overlap with arXiv:2307.1075