Barker, L.2016-02-082016-02-0820010305-4470http://hdl.handle.net/11693/24851In this second of four papers on the eponymous topic, pointwise convergence of a 'discrete' state function to a 'continuum' state function is shown to imply the algebraic criterion for convergence that was introduced in the prequel. As examples (and as a prerequisite for the sequels), the normal approximation theorem and the convergence of the Kravchuk functions to the Hermite-Gaussians are expressed in terms of the algebraic notion of convergence.EnglishArticle10.1088/0305-4470/34/22/3081361-6447