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arxiv: 1004.2323 · v1 · submitted 2010-04-14 · 🧮 math.DG · math.AP

The attenuated ray transform on simple surfaces

classification 🧮 math.DG math.AP
keywords attenuatedsimplesurfacestransformdevelopdimensionalestimategeodesic
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We show that the attenuated geodesic ray transform on two dimensional simple surfaces is injective. Moreover we give a stability estimate and develop a reconstruction procedure.

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