Inverting Spherical Radon Transform by a Closed-form Formula: A Microlocal Analytic Point of View
Classical Analysis and ODEs
2013-07-11 v1 Analysis of PDEs
Abstract
Let be the restriction of the spherical Radon transform to the set of spheres centered on a hypersurface . We study the inversion of by a closed-form formula. We approach the problem by studying an oscillatory integral, which depends on the observation surface as a parameter. We then derive various microlocal analytic properties of the associated closed-form inversion formula.
Cite
@article{arxiv.1307.2634,
title = {Inverting Spherical Radon Transform by a Closed-form Formula: A Microlocal Analytic Point of View},
author = {Linh V. Nguyen},
journal= {arXiv preprint arXiv:1307.2634},
year = {2013}
}