Reconstruction from limited data of arc means

被引：42
|
作者：
Palamodov, VP [1 ]
机构：
[1] Tel Aviv Univ, IL-69978 Ramat Aviv, Israel
来源：
JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS | 2000年 / 6卷 / 01期
关键词：
arc mean transform; reconstruction; factorization property; interpolation; Plancherel-type theorem; energy; audible zone; microlocal estimate;
D O I：
10.1007/BF02510116
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let f be a function in a Euclidean plane with compact support in a half disc H. The problem of reconstruction of the function from the data of its integrals over half circles A subset of H with centers at the diameter of H is studied. An explicit formula and a microlocal analysis of stability of the reconstruction are given.
引用
收藏
页码：25 / 42
页数：18
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