English

On a non-elliptic attenuated geodesic transform

Differential Geometry 2012-06-05 v2

Abstract

For a compact Riemannian surface with boundary we study attenuated geodesic transform of functions and differential forms. We generalize several known results on uniqueness and stability of this transform dropping condition of absence of conjugate points.

Keywords

Cite

@article{arxiv.1205.4806,
  title  = {On a non-elliptic attenuated geodesic transform},
  author = {Victor P. Palamodov},
  journal= {arXiv preprint arXiv:1205.4806},
  year   = {2012}
}

Comments

This paper has been withdrawn by the author for revision of Theorem 9

R2 v1 2026-06-21T21:07:42.069Z