paper

On the -ray transform of symmetric higher order tensors

arXiv:2210.01473

Abstract

In this article we characterize the range of the attenuated and non-attenuated -ray transform of compactly supported symmetric tensor fields in the Euclidean plane. The characterization is in terms of a Hilbert-transform associated with -analytic maps in the sense of Bukhgeim.

29 pages. arXiv admin note: text overlap with arXiv:1503.04322