On the Range Characterization of the Two-Dimensional Attenuated Doppler Transform
نویسندگان
چکیده
We characterize the range of the attenuated and non-attenuated X-ray transform of compactly supported vector fields in the plane. The characterization is in terms of a Hilbert transform associated with the A-analytic functions à la Bukhgeim. As an application we determine necessary and sufficient conditions for the attenuated Doppler and X-ray data to be mistaken for each other.
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ورودعنوان ژورنال:
- SIAM J. Math. Analysis
دوره 47 شماره
صفحات -
تاریخ انتشار 2015