Microlocal Analysis of Elliptical Radon Transforms with Foci on a Line
Microlocal Analysis of Elliptical Radon Transforms with Foci on a Line
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直线焦点椭圆氡变换的微局域分析
DOI：
10.1007/978-88-470-1947-8_11
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发表时间：
2012
期刊：
影响因子：
--
通讯作者：
E. T. Quinto
中科院分区：
文献类型：
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作者：
V. Krishnan;Howard W. Levinson;E. T. Quinto
本文用微局部方法研究了平面上函数在平面上二维椭圆集上的积分几何问题。我们关注两个案例：（a）椭圆族，其中一个焦点固定在原点，而另一个焦点沿x轴沿着移动，以及（B）具有公共偏移几何形状的椭圆族。
In this paper, we take a microlocal approach to the study of an integral geometric problem involving integrals of a function on the plane over two-dimensional sets of ellipses on the plane. We focus on two cases: (a) the family of ellipses where one focus is fixed at the origin and the other moves along the x-axis, and (b) the family of ellipses having a common offset geometry.