Display Abstract

Title Stability estimates for the Radon transform with restricted data

Name Pedro Caro
Country Finland
Email pedro.caro@helsinki.fi
Co-Author(s) David Dos Santos Ferreira, Alberto Ruiz
Submit Time 2014-02-24 05:08:57
Session
Special Session 55: Microlocal analysis and The inverse conductivity problem
Contents
In this talk, we will show a stability estimate going from the Radon transform of a function with limited angle-distance data to the $L^p$ norm of the function itself, under some conditions on the support of the function. This estimate was originally motivated by the study of the stability for the inverse Calder\'on problem with partial data. The Segal-Bargmann transform. often called FBI transform, is one of the main tools to obtain our estimate.