Title
On The Range Characterization Of The Two-Dimensional Attenuated Doppler Transform
Keywords
A-analytic maps; Attenuated Doppler transform; Attenuated X-ray transform; Hilbert transform
Abstract
We characterize the range of the attenuated and nonattenuated 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.
Publication Date
1-1-2015
Publication Title
SIAM Journal on Mathematical Analysis
Volume
47
Issue
3
Number of Pages
2001-2021
Document Type
Article
Personal Identifier
scopus
DOI Link
https://doi.org/10.1137/140984282
Copyright Status
Unknown
Socpus ID
84940378098 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/84940378098
STARS Citation
Sadiq, Kamran and Tamasan, Alexandru, "On The Range Characterization Of The Two-Dimensional Attenuated Doppler Transform" (2015). Scopus Export 2015-2019. 494.
https://stars.library.ucf.edu/scopus2015/494