%A Paulo Enrique Fern?ndez Moncada
%A Antonio Garc?a Garc?a
%A Miguel Angel Hernandez Medina
%J Houston Journal of Mathematics
%T Sampling associated with resolvent-type kernels and   lagrange-type interpolation series
%X In this paper a new class of Kramer kernels is introduced, motivated by the resolvent of a symmetric operator with compact resolvent. The article gives a necessary and sufficient condition to ensure that the associ- ated sampling formula can be expressed as a Lagrange-type interpolation series. Finally, an illustrative example, taken from the Hamburger moment problem theory, is included.
%N 4
%K Kramer kernel; Resolvent-type kernel; Lagrange-type interpolation series; Zero-removing property; Indeterminate Hamburger moment problem.
%P 1333-1347
%V 39
%D 2013
%I University of Houston
%L upm29339