Properties of the resolvent of singular q-Dirac operators

Abstract

In this article, we investigate the resolvent operator of a singular q-Dirac system. We obtain an integral representations for the resolvent of this system, in terms of the spectral function. Furthermore, we give a formula for the Titchmarsh-Weyl function of q-Dirac system using the integral representation of the resolvent.

Keywords

• q-dirac operator
• singular point
• resolvent operator
• spectral function
• titchmarsh-weyl function