{
  "id": "0905.2375",
  "version": "v1",
  "published": "2009-05-14T16:35:51.000Z",
  "updated": "2009-05-14T16:35:51.000Z",
  "title": "The weighted doppler transform",
  "authors": [
    "Sean Holman",
    "Plamen Stefanov"
  ],
  "categories": [
    "math.DG"
  ],
  "abstract": "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 $\\Gamma$. 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 $\\Gamma$ is never zero.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-05-14T16:35:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34A55",
      "53C65",
      "47G30"
    ],
    "keywords": [
      "weight function",
      "simple riemannian manifold",
      "covector field",
      "tomography problem",
      "generic set"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0905.2375H"
    }
  }
}