GENERALIZED HERMITE INTERPOLATION AND SAMPLING THEOREM INVOLVING DERIVATIVES
Chang-Eon Shin · Communications of the Korean Mathematical Society · 2002
We derive the generalized Hermite interpolation by using the contour integral and extend the generalized Hermite interpolation to obtain the sampling expansion involving derivatives for band-limited functions f, that is, f is an entire function satisfying the following growth condition ｜f(ｚ)｜ $\leq$ A exp( $\sigma$ ｜y｜) for some A, $\sigma$ > 0 and any ｚ= $\varkappa$ + iy∈C.