A Bohr-like compactification and summability of Fourier series

作者：Zhang Chuanyi^*

来源：Forum Mathematicum, 2009, 21(2): 355-373.

DOI：10.1515/FORUM.2009.017

In this paper the strong limit power functions are extended from R( ) to R. A group Q is found whose dual group Q(d)* is shown to be a Bohr-like compactification of R. Some characterizations of the compactification are established. The compactification is applied to investigate properties of strong limit power functions. The normality of the functions is proven. A converse problem is investigated. The summability of the Fourier series is set up.

• 出版日期2009-3
• 单位哈尔滨工业大学