Article ID Journal Published Year Pages File Type
4613953 Journal of Mathematical Analysis and Applications 2016 19 Pages PDF
Abstract

In this paper we study the attenuated X-ray transform of 2-tensors supported in convex bounded subsets with sufficiently smooth boundary in the Euclidean plane. We characterize its range and reconstruct all possible 2-tensors yielding identical X-ray data. The characterization is in terms of a Hilbert-transform associated with A-analytic maps in the sense of Bukhgeim.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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