论文标题
在$ x $ ray的对称高阶张量的变换上
On the $X$-ray transform of symmetric higher order tensors
论文作者
论文摘要
在本文中，我们表征了欧几里得平面中紧凑型对称的对称张量场的衰减和未衰减的$ x $ ray变换的范围。该特征是根据Bukhgeim意义上的$ A分析图相关的Hilbert-Transform。
In this article we characterize the range of the attenuated and non-attenuated $X$-ray transform of compactly supported symmetric tensor fields in the Euclidean plane. The characterization is in terms of a Hilbert-transform associated with $A$-analytic maps in the sense of Bukhgeim.
