2 papers
math.FA2018
A note on abscissas of Dirichlet series
Andreas Defant, Antonio Pérez, Pablo Sevilla-Peris
We present an abstract approach to the abscissas of convergence of vector-valued Dirichlet series. As a consequence we deduce that the abscissas for Hardy spaces of Dirichlet serie…
math.FA2017
On the Fourier spectrum of functions on Boolean cubes
Andreas Defant, Mieczysław Mastyło, Antonio Pérez
Let be a real-valued, degree- Boolean function defined on the -dimensional Boolean cube , and $f(x) = \sum_{S \subset \{1,\ldots,d\}} \widehat{f}(S) \prod_…