On the $X$-ray transform of symmetric higher order tensors

David Omogbhe; Kamran Sadiq

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arXiv · 2210.01473

On the $X$-ray transform of symmetric higher order tensors

David Omogbhe·Kamran Sadiq

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Abstract

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

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David Omogbhe, Kamran Sadiq. 2022-10-04. On the $X$-ray transform of symmetric higher order tensors. https://arxiv.org/abs/2210.01473

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