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math.FA2017
Operations with slicely countably determined sets
Vladimir Kadets, Antonio Pérez, Dirk Werner
The notion of slicely countably determined (SCD) sets was introduced in 2010 by A.~Avilés, V.~Kadets, M.~Martín, J.~Merí and V.~Shepelska. We solve in the negative some natural que…
math.FA2017
Bohr's phenomenon for functions on the Boolean cube
Andreas Defant, Mieczysław Mastyło, Antonio Pérez
We study the asymptotic decay of the Fourier spectrum of real functions in the spirit of Bohr's phenomenon from complex analysis. Every…