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arXiv · 2011.12766

On the Bohr phenomenon for complex valued and vector valued functions

Bappaditya Bhowmik·Nilanjan Das
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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.

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Bappaditya Bhowmik, Nilanjan Das. 2020-11-25. On the Bohr phenomenon for complex valued and vector valued functions. https://arxiv.org/abs/2011.12766

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