具有大间隙的平移算子的公共超循环函数II
Common hypercyclic functions for translation operators with large gaps II
摘要：
证明了不可数平移型算子族的公共超循环整函数的存在性。与我们以前的工作[34]相反，这里反映不可数族的参数位于单位圆上。另一方面，如果要与[34]中的相应序列进行比较，则翻译序列在某种意义上限制较少。我们的结果在很大程度上推广了Costakis在[19]中的一个结果。
英文摘要：
We prove the existence of common hypercyclic entire functions for uncountable families of translation type operators. Contrary to our previous work [34], here the parameter which reflects the uncountable family lies on the unit circle. On the other hand the sequence of translations is in a sense less restrictive if it is to be compared with the corresponding sequence in [34]. Our result largely extends a result of Costakis in [19].
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