@article {Garcia:April 1999:1521-1398:147, author = "Garcia A.G.", author = "Hernandez-Medina M.A.", title = "A General Sampling Theorem Associated with Differential Operators", journal = "Journal of Computational Analysis and Applications", volume = "01", year = "April 1999", abstract = "

In this paper we prove a general sampling theorem associated with differential operators with compact resolvent. Thus, we are able to recover, through a Lagrange-type interpolatory series, functions defined by means of a linear integral transform. The kernel of this transform is related with the resolvent of the differential operator. Most of the well-known sampling theorems associated with differential operators are shown to be nothing but limit cases of this result.

", pages = "147-161(15)", url = "http://www.ingentaconnect.com/content/klu/jcaa/1999/00000001/00000002/00419513" }