English

An inversion formula for transport equation in 3-dimensions using several complex variable analysis

Mathematical Physics 2015-03-19 v1 math.MP

Abstract

In this paper, the photon stationary transport equation has been extended from R3\mathbb{R}^3 to C3\mathbb{C}^3. A solution of the inverse problem is obtained on a hyper-sphere and a hyper-cylinder as X-ray and Radon transform, respectively. We show that these results can be transformed into each other and they agree with known results.

Keywords

Cite

@article{arxiv.1503.05500,
  title  = {An inversion formula for transport equation in 3-dimensions using several complex variable analysis},
  author = {Seyed Majid Saberi Fathi},
  journal= {arXiv preprint arXiv:1503.05500},
  year   = {2015}
}
R2 v1 2026-06-22T08:56:22.425Z