Singularities of the Radon Transform of a Class of Piecewise Smooth Functions in R^2  

作　　者：Gang-tong Qu 

机构地区：[1]School of Science, Beijing Jiaotong University, Beijing 100044, China

出　　处：《Acta Mathematicae Applicatae Sinica》2011年第2期191-208,共18页应用数学学报（英文版）

基　　金：supported by the National Natural Science Foundation of China(No.60772041 and 61071144)

摘　　要：A class of piecewise smooth functions in R2 is considered. The propagation law of the Radon transform of the function is derived. The singularities inversion formula of the Radon transform is derived from the propagation law. The examples of singularities and singularities inversion of the Radon transform are given.A class of piecewise smooth functions in R2 is considered. The propagation law of the Radon transform of the function is derived. The singularities inversion formula of the Radon transform is derived from the propagation law. The examples of singularities and singularities inversion of the Radon transform are given.

关 键 词：singularities of the Radon transform local Lipschitz continuous singularities inversion 

分 类 号：O174.2[理学—数学] P315.5[理学—基础数学]