论文标题
$ \ mathbb c^2 $之间的Fuchsian类型Hyperfaces之间的Cr映射规律性
Regularity of CR-mappings between Fuchsian type hypersurfaces in $\mathbb C^2$
论文作者
论文摘要
我们研究了$ \ Mathbb C^2 $之间的实用分析无限型高空曲面之间的Cr映射的规律性。我们表明，在紫红色类型的条件下，它们之间的所有（正式或平滑）Cr-Diffeomormorming均自动分析。紫红色的状况似乎在某种意义上是最佳的规律性问题。
We investigate regularity of CR-mappings between real-analytic infinite type hypersurfaces in $\mathbb C^2$. We show that, under the Fuchsian type condition, all (respectively formal or smooth) CR-diffeomorphisms between them are automatically analytic. The Fuchsian condition appears to be in a certain sense optimal for the regularity problem.
