  The classical Shannon sampling theorem states that a signal f with Fourier
transform F in L^2(R) having its support contained in (-\pi,\pi) can be
recovered from the sequence of samples (f(n))_{n in Z} via f(t)=\sum_{n in Z}
f(n) (sin(\pi (t -n)))/(\pi (t-n)) (t in R). In this article we prove a
generalization of this result under the assumption that F is a compactly
supported distribution with its support contained in (-\pi,\pi).
