We show that on simple surfaces the geodesic ray transform acting on solenoidal symmetric tensor fields of arbitrary order is injective. This solves a long standing inverse problem in the two-dimensional case.peerReviewe
The cone beam transform of a tensor field of order m in n≥2 dimensions is considered. We prove that ...
We derive reconstruction formulas for a family of geodesic ray transforms with connection, defined o...
Abstract. Let (M, g) be a simple Riemannian manifold with boundary and consider the geodesic ray tra...
We survey recent progress in the problem of recovering a tensor field from its integrals along geode...
Abstract. We survey some recent progress on the problem of recovering a tensor from its integral alo...
The geodesic ray transform, the mixed ray transform and the transverse ray transform of a tensor fie...
ABSTRACT. We study the geodesic X-ray transform I of tensor fields on a compact Riemannian manifold...
The X-ray transform on the periodic slab [0, 1]×Tn, n ≥ 0, has a non-trivial kernel due to the symme...
In this paper we consider the Gaussian thermostat ray transforms on both closed Riemannian surfaces ...
We study on a compact Riemannian manifold with boundary the ray transform I which integrates symmetr...
We establish an equivalence principle between the solenoidal injectivity of the geodesic ray transfo...
Consider a compact Riemannian manifold of dimension $\geq 3$ with strictly convex boundary, such tha...
2000 Mathematics Subject Classification: 53C24, 53C65, 53C21.This is a survey of the recent results ...
In the recent articles [PSU13, PSU14c], a number of tensor tomography results were proved on two-di...
International audienceJohn proved that a function $j$ on the manifold of lines in $R^3$ belongs to t...
The cone beam transform of a tensor field of order m in n≥2 dimensions is considered. We prove that ...
We derive reconstruction formulas for a family of geodesic ray transforms with connection, defined o...
Abstract. Let (M, g) be a simple Riemannian manifold with boundary and consider the geodesic ray tra...
We survey recent progress in the problem of recovering a tensor field from its integrals along geode...
Abstract. We survey some recent progress on the problem of recovering a tensor from its integral alo...
The geodesic ray transform, the mixed ray transform and the transverse ray transform of a tensor fie...
ABSTRACT. We study the geodesic X-ray transform I of tensor fields on a compact Riemannian manifold...
The X-ray transform on the periodic slab [0, 1]×Tn, n ≥ 0, has a non-trivial kernel due to the symme...
In this paper we consider the Gaussian thermostat ray transforms on both closed Riemannian surfaces ...
We study on a compact Riemannian manifold with boundary the ray transform I which integrates symmetr...
We establish an equivalence principle between the solenoidal injectivity of the geodesic ray transfo...
Consider a compact Riemannian manifold of dimension $\geq 3$ with strictly convex boundary, such tha...
2000 Mathematics Subject Classification: 53C24, 53C65, 53C21.This is a survey of the recent results ...
In the recent articles [PSU13, PSU14c], a number of tensor tomography results were proved on two-di...
International audienceJohn proved that a function $j$ on the manifold of lines in $R^3$ belongs to t...
The cone beam transform of a tensor field of order m in n≥2 dimensions is considered. We prove that ...
We derive reconstruction formulas for a family of geodesic ray transforms with connection, defined o...
Abstract. Let (M, g) be a simple Riemannian manifold with boundary and consider the geodesic ray tra...
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