Tharwat, M. M.Yildirim, A.Bhrawy, A. H.2019-10-272019-10-2720130163-0563https://doi.org/10.1080/01630563.2012.693565https://hdl.handle.net/11454/46729In this article, we study discontinuous regular Dirac systems with transmission conditions at the point of discontinuity. We study briey the spectral analysis of problem as Levitan and Sargsjan [23]. In the special case, when our problem is continuous, the obtained results coincide with the corresponding results in Abd-Alla and Annaby [1] and Zayed and Garcia [30]. We derive sampling representations for transforms whose kernels are either solutions or Green's functions.en10.1080/01630563.2012.693565info:eu-repo/semantics/closedAccessDirac systemsDiscontinuous boundary value problemsGreen's functionSampling theoryTransmission conditions34L1694A2065L15Article343323348WOS:000313778700004Q4