论文标题
明确的圆环Anosov图的共振示例
Explicit examples of resonances for Anosov maps of the torus
论文作者
论文摘要
在[23]中，Slipantschuk，Bandtlow并刚刚给出了可以完全描述其共振的两道肌的Anosov diffemoilists的具体例子。他们的方法基于作用于分析各向异性希尔伯特空间的组成算子，在本说明中，我们提出了另一种各向异性希尔伯特空间的结构，有助于简化其分析的一部分，并为进一步的示例提供了范围。
In [23], Slipantschuk, Bandtlow and Just gave concrete examples of Anosov diffeomorphisms of the two-torus for which their resonances could be completely described. Their approach was based on composition operators acting on analytic anisotropic Hilbert spaces, and in this note we present a construction of alternative anisotropic Hilbert spaces which helps to simplify parts of their analysis and gives scope for constructing further examples.
