Sampling Theory for Sturm-Liouville Problem with Boundary and Transmission Conditions Dependent on Eigenparameter

Abstract: In this paper, we investigate the sampling analysis associated with discontinuous Sturm-Liouville problem which has transmission conditions at two points of discontinuity also contains an eigenparameter in a boundary condition and two transmission conditions. We establish briefly spectral properties of the problem and then we prove the sampling theorem associated with the problem.