Article ID Journal Published Year Pages File Type
4621995 Journal of Mathematical Analysis and Applications 2007 7 Pages PDF
Abstract

By using the idea of interpolation of functions in Hardy spaces, we obtain a new representation of the Titchmarsh–Weyl function, known also as the m-function, in the case of short range potentials. The key idea is to use the Gelfand–Levitan–Marchenko theory which allows us to represent Jost solutions by the Fourier transform.

Related Topics
Physical Sciences and Engineering Mathematics Analysis