Generalized Hermite Interpolation and Sampling Theorem Involving Derivatives

초록

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 $|f(z)|\le A\exp (\sigma |y|)\text{for some }A,\sigma >0\text{and any }z=x+iy\in \mathbb{C}.$

키워드