The interpolation of the Titchmarsh–Weyl function

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.