科研之友
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摘要
We show that there exist c-generated algebras (and dense in C (a)([0, 1])) every nonzero element of which is a nowhere Gevrey differentiable function. This leads to results of dense algebrability (and, therefore, lineability) of functions enjoying this property. In the process of proving these results we also provide a new construction of nowhere Gevrey differentiable functions.
- 出版日期2015-2
