caa a22 4500 445831103 CHVBK 20180317145315.0 cr unu---uuuuu 170323e20110401xx s 000 0 eng 10.1007/s10255-011-0056-z doi (NATIONALLICENCE)springer-10.1007/s10255-011-0056-z Qu Gang-rong School of Science, Beijing Jiaotong University, 100044, Beijing, China aut Singularities of the radon transform of a class of piecewise smooth functions in R 2 [Elektronische Daten] [Gang-rong Qu] A class of piecewise smooth functions in R 2 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. Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg, 2011 singularities of the Radon transform nationallicence local Lipschitz continuous nationallicence singularities inversion nationallicence Acta Mathematicae Applicatae Sinica, English Series Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 27/2(2011-04-01), 191-208 0168-9673 27:2<191 2011 27 10255 https://doi.org/10.1007/s10255-011-0056-z text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10255-011-0056-z text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Qu Gang-rong School of Science, Beijing Jiaotong University, 100044, Beijing, China aut NATIONALLICENCE 773 0- Acta Mathematicae Applicatae Sinica, English Series Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 27/2(2011-04-01), 191-208 0168-9673 27:2<191 2011 27 10255 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer