Discrete weierstrass transform in discrete hermitian clifford analysis

The classical Weierstrass transform is an isometric operator mapping elements of the weighted L 2 − space ( R , exp x / ) to Fock space. It has numereous applications in physics and applied mathematics. In this paper, we define analogue version discrete Hermitian Clifford analysis, where functions are defined on a grid rather than continuous This new based definition, combination with Gaussian function counterparts Hermite polynomials. Furthermore, appropriate inner product constructed, for which polynomials form basis. setting, also investigate behaviour delta check if they newly