论文标题
在Planar $ x $ arre ray transform the forus的范围内
On the range of the planar $X$-ray transform on the Fourier lattice of the torus
论文作者
论文摘要
我们发现，在飞机上，函数$ g $的傅立叶系数$ g $的傅立叶系数的必要条件，并在飞机上具有紧凑的支持的函数转换范围，并基于Bukhgeim-Hilbert变换与古典Gelfand-Gelfand-Graev，Helgason和Ludwig的表征建立范围表征之间的连接。
We find necessary and sufficient conditions on the Fourier coefficients of a function $g$ on the torus to be in the range of the $X$-ray transform of functions with compact support in the plane, and establish the connection between the range characterization based on the Bukhgeim-Hilbert transform and the classical Gelfand-Graev, Helgason, and Ludwig characterization.
