Abstract
In 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.
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