Resumen de A note on holomorphic functions and the Fourier-Laplace transform

Marcus Carlsson, Jens Wittsten

• We revisit the classical problem of when a given function, which is analytic in the upper half plane C+, can be written as the Fourier transform of a function or distribution with support on a half axis (−∞,b], b∈R. We derive slight improvements of the classical Paley-Wiener-Schwartz Theorem, as well as softer conditions for verifying membership in classical function spaces such as Hp(C+).