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Sampling Theory for Sturm-Liouville Problem with Boundary and Transmission Conditions Dependent on Eigenparameter (1406.0594v1)

Published 3 Jun 2014 in math.CA

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.

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