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arXiv:2011.12766 [math.FA]AbstractReferencesReviewsResources

On the Bohr phenomenon for complex valued and vector valued functions

Bappaditya Bhowmik, Nilanjan Das

Published 2020-11-25Version 1

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.

Comments: 20 pages
Categories: math.FA, math.CV
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