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math.FA2020★ 1 cited
On the Bohr phenomenon for complex valued and vector valued functions
Bappaditya Bhowmik, Nilanjan Das
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…
math.CV2020★ 2 cited
Bohr phenomenon for operator valued functions with fixed initial coefficient
Bappaditya Bhowmik, Nilanjan Das
The purpose of this article is to study Bohr inequalities involving the absolute values of the coefficients of an operator valued function. To be more specific, we establish an ope…