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Parametrices for the light ray transform on Minkowski spacetime

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arxiv 1701.08225 v2 pith:VVAEY4IB submitted 2017-01-28 math.AP

Parametrices for the light ray transform on Minkowski spacetime

classification math.AP
keywords lighttransformarisingconsiderconstructcosmicfindinginverse
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We consider restricted light ray transforms arising from an inverse problem of finding cosmic strings. We construct a relative left parametrix for the transform on two tensors, which recovers the space-like and some light-like singularities of the two tensor.

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