Radon变换与层析成像中的动力学方程
Radon transform and kinetic equations in tomographic representation
摘要：
在层析表示中考虑了经典随机过程的统计性质。Radon积分变换用于构造动力学方程的层析形式。阐明了经典系统相空间上的概率密度与层析概率分布之间的关系。简单的动力学方程，如刘维尔方程的一个和多个粒子的例子进行了详细研究。
英文摘要：
Statistical properties of classical random process are considered in tomographic representation. The Radon integral transform is used to construct the tomographic form of kinetic equations. Relation of probability density on phase space for classical systems with tomographic probability distributions is elucidated. Examples of simple kinetic equations like Liouville equations for one and many particles are studied in detail.
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