In this paper, the photon stationary transport equation has been extended from $\mathbb{R}^3$ to $\mathbb{C}^3$. 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.
Publié le : 2014-07-01
Classification:
inversion formula,
transport equation,
several complex variable analysis,
02.30.Jr, 02.30.Uu, 02.30.Zz,
[MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph]
@article{hal-01132770,
author = {Saberi Fathi, Seyed Majid, },
title = {An inversion formula for transport equation in 3-dimensions using several complex variable analysis},
journal = {HAL},
volume = {2014},
number = {0},
year = {2014},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-01132770}
}
Saberi Fathi, Seyed Majid, . An inversion formula for transport equation in 3-dimensions using several complex variable analysis. HAL, Tome 2014 (2014) no. 0, . http://gdmltest.u-ga.fr/item/hal-01132770/