2 papers
math.CV2024
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…
math.CV2017
On Bergman type spaces of holomorphic functions and the density, in these spaces, of certain classes of singular functions
T. Hatziafratis, K. Kioulafa, V. Nestoridis
We consider Bergman spaces and variations of them in one or several complex variables. For some domains we show that in these spaces the generic function is totally unbounded and h…