Explicit inversion of attenuated Radon transforms in hyperbolic geometry

Guillaume Bal
Columbia University

Date: October 22, 2004

Explicit reconstructions for the two-dimensional attenuated Radon transform were recently obtained in Euclidean geometry. The method used to obtain the inversion formulas was based on extending the geodesic vector field into the complexified tangent plane and formulating the reconstruction as a Riemann-Hilbert problem. I will consider this methodology to address the inversion in non-Euclidean geometry.