Sampling teoremi ve dirac operatörler

In this thessis a relation between sampling theorem and Dirac operators is studied. As a first we studied on boundary value problems which is the base of Dirac operators and then asympthotic behaviours of eigenvalues and eigenfunctions are given. As as second same researches were studied for Dirac operators.In addition we gave sampling theorem and its generalization called by Kramer theorem with proofs. After all these preliminaries sampling theorem associated with Dirac operators and its proof in details are indicated. One application of this theorem was shown in the last section and then we have indicated that for some particular choices of variables we obtain Hartley transform.Key Words: Strum-Liouville equations, Dirac operators, Sampling theorem, Kramer theorem.