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arXiv 1503.05500math-phmath.MP
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三维输运方程的多复变分析反演公式

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

Seyed Majid Saberi Fathi

摘要:

本文将光子定态输运方程从$\mathbb{R}^3$推广到$\mathbb{C}^3$。在超球和超柱上分别用X射线和Radon变换得到了反问题的解。我们证明了这些结果可以相互转化,并与已知结果一致。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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