An inversion formula for the weighted Radon transform along family of cones

被引：0
|
作者：
Muminov, Mukhiddin I. [1 ,2 ]
Ochilov, Zarifjon Kh. [1 ]
机构：
[1] Samarkand State Univ, Samarkand 140100, Uzbekistan
[2] Uzbek Acad Sci, VI Romanovskiy Inst Math, Tashkent 100174, Uzbekistan
来源：
NANOSYSTEMS-PHYSICS CHEMISTRY MATHEMATICS | 2023年 / 14卷 / 01期
关键词：
integral geometry problem; weighted Radon transform; inversion formula;
D O I：
10.17586/2220-8054-2023-14-1-22-27
中图分类号：
TB3 [工程材料学];
学科分类号：
0805 ; 080502 ;
摘要：
In this paper, an inversion problem for the weighted Radon transform along family of cones in three-dimensional space is considered. An inversion formula for the weighted Radon transform is obtained for the case when the range is a space of infinitely smooth functions.
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页码：22 / 27
页数：6
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