Interpolation theory and first-order boundary value problems

Abstract

This paper discusses the connection between Kramer analytic kernels derived from first-order, linear, ordinary boundary value problems represented by self-adjoint differential operators and one form of the Lagrange interpolation formula, and treats the dual formulation of the sampling process, that of interpolation. In following the kernel construction results obtained by the authors in a previous paper in 2002, the results in this successor paper complete the aimed project by showing that each of these Kramer analytic kernels has an associated analytic interpolation function to give the Lagrange interpolation series. © 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim