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arXiv:1309.4143 [math.FA]AbstractReferencesReviewsResources

On the determination of a function from cylindrical Radon transforms

Sunghwan Moon

Published 2013-09-17, updated 2014-09-29Version 2

This paper is devoted to a Radon-type transform arising in Photoacoustic Tomography that uses integrating line detectors. We consider two situations: when the line detectors are tangent to the boundary of a cylindrical domain and when the line detectors are located on a plane. We present the analogue of the Fourier slice theorems for each case of the Radon-type transforms. Also, we provide several new inversion formulas, a support theorem, and stability estimate and necessary range condition results.

Categories: math.FA, math.AP
Subjects: 44A12, 92C55
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