摘要
利用广义函数理论证明了一类广义Radon变换及其对偶变换在分布空间上的连续性;并且利用拟微分算子理论证明了一些有关算子的连续性。
In this paper, the continuity of the generalized Radon transform and its dual transform is proved on (Rn ) and e (R X Sn-1 ) respectively by means of the. theory of distribution. And the continuity of some relevent operators is proved also by using a theory of pseudo-differential operator.
出处
《武汉水利电力大学学报》
CSCD
1996年第6期141-147,共7页
Engineering Journal of Wuhan University
关键词
拉东变换
连续性
拟微分算子
Radon transform
continuity
pseudo-differential operator