Add to ORKGABSTRACT. We study the geodesic X-ray transform I of tensor fields on a compact Riemannian manifold M with non-necessarily convex boundary and with possible conjugate points. We assume that I is known for geodesics belonging to an open set with endpoints on the boundary. We prove generic s-injectivity and a stability estimate under some topological assumptions and under the condition that for any.x; / 2 T M, there is a geodesic in through x normal to without conjugate points
International audienceWe study the boundary and lens rigidity problems on domains without assuming t...
Abstract. We study the weighted integral transform on a compact manifold with boundary over a smooth...
We derive reconstruction formulas for a family of geodesic ray transforms with connection, defined o...
ABSTRACT. We study the geodesic X-ray transform I of tensor fields on a compact Riemannian manifold...
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 microlocal properties of the geodesic X-ray transform X on a manifold with bo...
Abstract. We study the geodesic X-ray transform X on compact Riemannian surfaces with con-jugate poi...
We establish an equivalence principle between the solenoidal injectivity of the geodesic ray transfo...
We show that on simple surfaces the geodesic ray transform acting on solenoidal symmetric tensor fi...
Thesis (Ph.D.)--University of Washington, 2020This dissertation contains work of the author and join...
Consider a compact Riemannian manifold of dimension $\geq 3$ with strictly convex boundary, such tha...
Abstract. Let (M, g) be a simple Riemannian manifold with boundary and consider the geodesic ray tra...
Abstract The ray transform I on a compact Riemannian manifold M with boundary is the operator sendin...
We prove that the geodesic X-ray transform is injective on scalar functions and (solenoidally) on on...
International audienceWe study the boundary and lens rigidity problems on domains without assuming t...
Abstract. We study the weighted integral transform on a compact manifold with boundary over a smooth...
We derive reconstruction formulas for a family of geodesic ray transforms with connection, defined o...
ABSTRACT. We study the geodesic X-ray transform I of tensor fields on a compact Riemannian manifold...
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 microlocal properties of the geodesic X-ray transform X on a manifold with bo...
Abstract. We study the geodesic X-ray transform X on compact Riemannian surfaces with con-jugate poi...
We establish an equivalence principle between the solenoidal injectivity of the geodesic ray transfo...
We show that on simple surfaces the geodesic ray transform acting on solenoidal symmetric tensor fi...
Thesis (Ph.D.)--University of Washington, 2020This dissertation contains work of the author and join...
Consider a compact Riemannian manifold of dimension $\geq 3$ with strictly convex boundary, such tha...
Abstract. Let (M, g) be a simple Riemannian manifold with boundary and consider the geodesic ray tra...
Abstract The ray transform I on a compact Riemannian manifold M with boundary is the operator sendin...
We prove that the geodesic X-ray transform is injective on scalar functions and (solenoidally) on on...
International audienceWe study the boundary and lens rigidity problems on domains without assuming t...
Abstract. We study the weighted integral transform on a compact manifold with boundary over a smooth...
We derive reconstruction formulas for a family of geodesic ray transforms with connection, defined o...