2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/159237We characterize the discrete sets L of the real line such that {f(t-l), l in L} span L^1(R), f being an L^1(R)-function whose Fourier transform behaves like the one of the Poisson function.Submitted to The Journal of Fourier Analysis and ApplicationsClassical Analysis and ODEsFunctional Analysis42C30Poisson type generators for L^1(R)text