Abstract. We study the weighted integral transform on a compact manifold with boundary over a smooth family of curves Γ. We prove generic injectivity and a stability estimate under the condition that the conormal bundle of Γ covers T ∗M. 1
We consider the integral geometry problems including a weight function along the family of plane cur...
We study ray transforms on spherically symmetric manifolds with a piecewise C 1,1 metric. Assuming...
Abstract. We study the geodesic X-ray transform X on compact Riemannian surfaces with con-jugate poi...
ABSTRACT. We study the weighted integral transform on a compact manifold with boundary over a smooth...
ABSTRACT. We study the geodesic X-ray transform I of tensor fields on a compact Riemannian manifold...
Thesis (Ph.D.)--University of Washington, 2020This dissertation contains work of the author and join...
We prove that the geodesic X-ray transform is injective on scalar functions and (solenoidally) on on...
We show injectivity of the geodesic X-ray transform on piecewise constant functions when the transfo...
A closed Riemannian manifold is said to be Anosov if its geodesic flow on its unit tangent bundle is...
We initiate the study of X-ray tomography on sub-Riemannian manifolds, for which the Heisenberg grou...
AbstractIn [M.G. Eastwood, Complex methods in real integral geometry (with the collaboration of T.N....
Consider a compact Riemannian manifold of dimension ≥ 3 with strictly convex boundary, such that the...
AbstractWe consider the X-ray transform, defined as an integral over affine subspaces, of piecewise-...
We consider the boundary rigidity problem for asymptotically hyperbolic manifolds. We show injectivi...
Abstract. We study the geodesic X-ray transform X on compact Riemannian surfaces with con-jugate poi...
We consider the integral geometry problems including a weight function along the family of plane cur...
We study ray transforms on spherically symmetric manifolds with a piecewise C 1,1 metric. Assuming...
Abstract. We study the geodesic X-ray transform X on compact Riemannian surfaces with con-jugate poi...
ABSTRACT. We study the weighted integral transform on a compact manifold with boundary over a smooth...
ABSTRACT. We study the geodesic X-ray transform I of tensor fields on a compact Riemannian manifold...
Thesis (Ph.D.)--University of Washington, 2020This dissertation contains work of the author and join...
We prove that the geodesic X-ray transform is injective on scalar functions and (solenoidally) on on...
We show injectivity of the geodesic X-ray transform on piecewise constant functions when the transfo...
A closed Riemannian manifold is said to be Anosov if its geodesic flow on its unit tangent bundle is...
We initiate the study of X-ray tomography on sub-Riemannian manifolds, for which the Heisenberg grou...
AbstractIn [M.G. Eastwood, Complex methods in real integral geometry (with the collaboration of T.N....
Consider a compact Riemannian manifold of dimension ≥ 3 with strictly convex boundary, such that the...
AbstractWe consider the X-ray transform, defined as an integral over affine subspaces, of piecewise-...
We consider the boundary rigidity problem for asymptotically hyperbolic manifolds. We show injectivi...
Abstract. We study the geodesic X-ray transform X on compact Riemannian surfaces with con-jugate poi...
We consider the integral geometry problems including a weight function along the family of plane cur...
We study ray transforms on spherically symmetric manifolds with a piecewise C 1,1 metric. Assuming...
Abstract. We study the geodesic X-ray transform X on compact Riemannian surfaces with con-jugate poi...