A semiclassical approach to geometric X-ray transforms in the presence of convexity
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Publication:6357081
DOI10.1090/CAMS/27arXiv2012.14307MaRDI QIDQ6357081
Publication date: 28 December 2020
Abstract: In this short paper we introduce a variant of the approach to inverting the X-ray transform that originated in the author's work with Uhlmann. The new method is based on semiclassical analysis and eliminates the need for using sufficiently small domains and layer stripping for obtaining the injectivity and stability results, assuming natural geometric conditions are satisfied.
Pseudodifferential operators as generalizations of partial differential operators (35S05) Inverse problems for PDEs (35R30) Integral geometry (53C65)
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