The Hilbert-Schmidt Theorem Formulation of the R-Matrix Theory
arXiv:physics/9709039 · doi:10.1088/0305-4470/31/30/013
Abstract
Using the Hilbert-Schmidt theorem, we reformulate the R-matrix theory in terms of a uniformly and absolutely convergent expansion. Term by term differentiation is possible with this expansion in the neighborhood of the surface. Methods for improving the convergence are discussed when the R-function series is truncated for practical applications.
16 pages, Latex