Density in the half-line Schwartz space of functions whose Fourier-Laplace transform has natural boundary the real line

Andreas Chatziafratis, Telemachos Hatziafratis

In this note, we prove that the Fourier-Laplace transform of the typical function (i.e., generic in the sense of Baire category theorem) in the Schwartz class of the half-line, bei…