An inversion formula for the spherical mean transform with data on an ellipsoid in two and three dimensions
Analysis of PDEs
2012-08-29 v1
Abstract
In the articles [1] and [2] of D. Finch, M. Haltmeier, S. Patch and D. Rakesh inversion formulas were found in any dimension for recovering a smooth function with compact support in the unit ball from spherical means centered on the unit sphere. The aim of this article is to show that the methods used in [1], [2] can be modified in order to get similar inversion formulas from spherical means centered on an ellipsoid in two and three dimensional spaces.
Keywords
Cite
@article{arxiv.1208.5739,
title = {An inversion formula for the spherical mean transform with data on an ellipsoid in two and three dimensions},
author = {Yehonatan Salman},
journal= {arXiv preprint arXiv:1208.5739},
year = {2012}
}
Comments
10 pages