The weighted doppler transform

Sean Holman, Plamen Stefanov

    Research output: Contribution to journalArticlepeer-review

    50 Downloads (Pure)


    We 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 are never zero. © 2010 American Institute of Mathematical Sciences.
    Original languageEnglish
    Pages (from-to)111-130
    Number of pages19
    JournalInverse Problems and Imaging
    Issue number1
    Publication statusPublished - Feb 2010


    • Integral geometry
    • Inverse problems
    • Pseudodifferential operators


    Dive into the research topics of 'The weighted doppler transform'. Together they form a unique fingerprint.

    Cite this