On the Bohr phenomenon for complex valued and vector valued functions

Published 25 Nov 2020 in math.FA and math.CV | (2011.12766v1)

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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