The weighted doppler transform

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dc.creatorHolman, Sean
dc.creatorStefanov, Plamen
dc.date2009-05-14
dc.date.accessioned2026-07-07T13:15:04Z
dc.date.available2026-07-07T13:15:04Z
dc.descriptionWe consider the tomography problem of recovering a covector field on a simple Riemannian manifold based on its weighted Doppler transformation over a family of curves $Γ$. This is a generalization of the attenuated Doppler transform. Uniqueness is proven for a generic set of weights and families of curves under a condition on the weight function. This condition is satisfied in particular if the weight function is never zero, and its derivatives along the curves in $Γ$ is never zero.
dc.identifierhttps://arxiv.org/abs/0905.2375
dc.identifierhttp://arxiv.org/abs/0905.2375
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/230373
dc.subjectDifferential Geometry
dc.subject34A55; 53C65: 47G30
dc.titleThe weighted doppler transform
dc.typetext

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