In this article, we study the properties of the geodesic X-ray transform for asymptotically Euclidean or conic Riemannian metrics and show injectivity under non-trapping and no conjugate point assumptions. We also define a notion of lens data for such metrics and study the associated inverse problem.Peer reviewe
We prove that any asymptotically Euclidean metric on R n with no conjugate points must be isometric ...
Abstract. We study the microlocal properties of the geodesic X-ray transform X on a manifold with bo...
AbstractThe object of the generalized conics’ theory in Rn is the investigation of subsets in the sp...
In this article, we study the properties of the geodesic X-ray transform for asymptotically Euclidea...
In this article, we study the properties of the geodesic X-ray transform for asymptotically Euclidea...
We derive reconstruction formulas for a family of geodesic ray transforms with connection, defined o...
This article surveys recent results aiming at obtaining refined mapping estimates for the X-ray tran...
Thesis (Ph.D.)--University of Washington, 2020This dissertation contains work of the author and join...
We study the microlocal properties of the geodesic X-ray transform X on a manifold with boundary all...
Abstract. We study the geodesic X-ray transform X on compact Riemannian surfaces with con-jugate poi...
Abstract. We study the geodesic X-ray transform X on compact Riemannian surfaces with con-jugate poi...
We consider the boundary rigidity problem for asymptotically hyperbolic manifolds. We show injectivi...
We prove that the geodesic X-ray transform is injective on $L^2$ when the Riemannian metric is simpl...
I will describe an extension to the boundary of the cosphere bundle and geodesic flow of an asymptot...
We consider the inverse problem of recovering a potential from the Dirichlet to Neumann map at a lar...
We prove that any asymptotically Euclidean metric on R n with no conjugate points must be isometric ...
Abstract. We study the microlocal properties of the geodesic X-ray transform X on a manifold with bo...
AbstractThe object of the generalized conics’ theory in Rn is the investigation of subsets in the sp...
In this article, we study the properties of the geodesic X-ray transform for asymptotically Euclidea...
In this article, we study the properties of the geodesic X-ray transform for asymptotically Euclidea...
We derive reconstruction formulas for a family of geodesic ray transforms with connection, defined o...
This article surveys recent results aiming at obtaining refined mapping estimates for the X-ray tran...
Thesis (Ph.D.)--University of Washington, 2020This dissertation contains work of the author and join...
We study the microlocal properties of the geodesic X-ray transform X on a manifold with boundary all...
Abstract. We study the geodesic X-ray transform X on compact Riemannian surfaces with con-jugate poi...
Abstract. We study the geodesic X-ray transform X on compact Riemannian surfaces with con-jugate poi...
We consider the boundary rigidity problem for asymptotically hyperbolic manifolds. We show injectivi...
We prove that the geodesic X-ray transform is injective on $L^2$ when the Riemannian metric is simpl...
I will describe an extension to the boundary of the cosphere bundle and geodesic flow of an asymptot...
We consider the inverse problem of recovering a potential from the Dirichlet to Neumann map at a lar...
We prove that any asymptotically Euclidean metric on R n with no conjugate points must be isometric ...
Abstract. We study the microlocal properties of the geodesic X-ray transform X on a manifold with bo...
AbstractThe object of the generalized conics’ theory in Rn is the investigation of subsets in the sp...
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