论文标题
非平稳的正常形式用于收缩扩展
Non-stationary normal forms for contracting extensions
论文作者
论文摘要
我们介绍了非平稳正常形式的理论，用于与足够狭窄的马瑟光谱均匀收缩平滑延伸。我们给出了连贯的存在，（非）独特性和中央器结果的描述。作为推论，我们沿着不变叶叶叶获得了相应的正常形式结果。对狭窄频谱设置的先前结果的主要改进包括对非唯一性的明确描述，并以高于精确临界水平的任何规律性获得结果，这对于中央器特别有用。除了亚音正常形式外，我们还证明了共振正常形式的相应结果，这在狭窄的频谱设置中是新的。
We present the theory of non-stationary normal forms for uniformly contracting smooth extensions with sufficiently narrow Mather spectrum. We give coherent proofs of existence, (non)uniqueness, and a description of the centralizer results. As a corollary, we obtain corresponding results for normal forms along an invariant contracting foliation. The main improvements over the previous results in the narrow spectrum setting include explicit description of non-uniqueness and obtaining results in any regularity above the precise critical level, which is especially useful for the centralizer. In addition to sub-resonance normal form, we also prove corresponding results for resonance normal form, which is new in the narrow spectrum setting.
