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math.AP2015
On the -ray transform of planar symmetric 2-tensors
Kamran Sadiq, Otmar Scherzer, Alexandru Tamasan
In this paper we study the attenuated -ray transform of 2-tensors supported in strictly convex bounded subsets in the Euclidean plane. We characterize its range and reconstruct…
math.AP2014
On the Range Characterization of the two dimensional attenuated Doppler Transform
Kamran Sadiq, Alexandru Tamasan
We characterize the range of the attenuated and non-attenuated -ray transform of compactly supported vector fields in the plane. The characterization is in terms of a Hilbert tr…