Morera theorems via microlocal analysis

被引：2
|
作者：
Globevnik, J
Quinto, ET
机构：
[1] UNIV LJUBLJANA,DEPT MATH,LJUBLJANA,SLOVENIA
[2] TUFTS UNIV,DEPT MATH,MEDFORD,MA 02155
来源：
JOURNAL OF GEOMETRIC ANALYSIS | 1996年 / 6卷 / 01期
关键词：
Morera theorem; Radon transform; support theorem; microlocal analysis; Fourier integral operators;
D O I：
10.1007/BF02921565
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove Morera theorems for curves in the plane using microlocal analysis. The key is that microlocal smoothness of functions is reflected by smoothness of their Morera integrals on curves-their Radon transforms. Parallel support theorems for the associated Radon transforms follow from our arguments by a simple correspondence.
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页码：19 / 30
页数：12
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