On the Bohr phenomenon for complex valued and vector valued functions
Functional Analysis
2020-11-26 v1 Complex Variables
Abstract
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.
Cite
@article{arxiv.2011.12766,
title = {On the Bohr phenomenon for complex valued and vector valued functions},
author = {Bappaditya Bhowmik and Nilanjan Das},
journal= {arXiv preprint arXiv:2011.12766},
year = {2020}
}
Comments
20 pages