关于$α$ -刚性映射的谱
On the spectrum of $α$-rigid maps
摘要：
证明了存在一个$α$ -刚性变换，使得$α$小于等于$\frac12$，其谱具有Lebesgue分量.这回答了Klemes和Reinhold在\cite{Klemes-Reinhold}中提出的问题。我们还展示了一大类具有奇异谱的$α$ -刚性变换。
英文摘要：
It is shown that there exists an $α$-rigid transformation with $α$ less or equal to $\frac12$ whose spectrum has Lebesgue component. This answers the question raised by Klemes and Reinhold in \cite{Klemes-Reinhold}. We exhibit also a large class of $α$-rigid transformations with singular spectrum.
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