16 citations · 42 across the 16 of their papers we have counts for
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On a non-elliptic attenuated geodesic transform
Victor P. Palamodov
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 sta…
Inverse kinematic problem and boundary rigidity of Riemannian surfaces
Victor Palamodov
Given a compact manifold with boundary with unknown Riemannian metric. The problem is to reconstruct the metric in a class of conformal metrics from knowledge of lengths of all clo…
A new reconstruction method in integral geometry
Victor Palamodov
A general method for analytic inversion of geometric integral transforms is proposed
Conformal equivalent metrics in a plane domain are uniquely determined from travel times
Victor Palamodov
An integral stability estimate is proved for refraction coefficients of two conformal metrics in a plane domain in terms of its travel times. No assumption on absence of conjugate…