Sampling Theorem Associated With Dirac System of the Hahn Difference Operator

Abstract

The sampling theory and its applications and extensions have been the subject of intensive research, both by mathematicians and by communication engineers. In this paper, we give an extension of this sampling theory to the Hahn difference operator. In other words, we state and prove the sampling theorem associated with q,omega-Dirac system. As a special case, we give two examples.