On the equivalence of Kramer´s and Shannon´s sampling theorems (Corresp.)

The question of Campbell concerning the possibility of applying Shannon´s sampling theorem to the same functions that can be sampled by Kramer´s generalized sampling theorem is investigated and illustrated for more functions which are solutions of second-order differential equations with singular coefficients. A few definitions are introduced and some theorems are proved to show, in a more precise way, that under certain conditions the two sampling theorems are equivalent.