Article ID Journal Published Year Pages File Type
4609544 Journal of Differential Equations 2016 23 Pages PDF
Abstract

We show that the Herglotz functions that arise as Weyl–Titchmarsh m functions of one-dimensional Schrödinger operators are dense in the space of all Herglotz functions with respect to uniform convergence on compact subsets of the upper half plane. This result is obtained as an application of de Branges theory of canonical systems.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
,