论文标题
在Bohr现象上,用于复杂的价值和矢量值函数
On the Bohr phenomenon for complex valued and vector valued functions
论文作者
论文摘要
我们探讨了涉及在第二个可计数紧凑型拓扑组上定义的复杂有价值的集成和平方集成函数的傅立叶变换的BOHR不平等。我们还研究了Bohr现象与在复杂的希尔伯特空间上定义的有界线性算子的凸的模量的连接。
We explore the Bohr inequality involving the Fourier transforms of complex valued integrable and square integrable functions defined on a second countable compact topological group. We also investigate the connection of the Bohr phenomenon with a modulus of convexity of the space of bounded linear operators defined on a complex Hilbert space.