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 Generalized Hermite Interpolation and Sampling Theorem Involving Derivatives Commun. Korean Math. Soc. 2002 Vol. 17, No. 4, 731-740 Printed December 1, 2002 Chang Eon Shin Sogang University Abstract : 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 $$|f(z)|\le A \, \exp(\sigma |y|) \,\, \text{for some }A, \, \sigma>0 \, \, \text{and any } z=x+iy \in \Bbb C.$$ Keywords : generalized Hermite interpolation, sampling theorem, contour integral MSC numbers : 94A12 Downloads: Full-text PDF

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