In this paper we deal with a linear integral transform, defined on a vectorial L2-space, whose kernel arises from a one-dimensional system of Dirac operators. Unlike the regular Sturm–Liouville transform, which is associated with a regular Sturm–Liouville problem, the range of this transform is a whole Paley–Wiener space. As a consequence, some results for the Paley–Wiener space are derived; in particular, the sampling formula associated with a regular Dirac operator. Finally, we obtain an inversion formula by means of a continuous measure for suitable Sobolev spaces in the initial L2-space.