The Gradient and Divergent Operators in White Noise Analysis

In the framework of white noise analysis initiated by T. Hida, we give the denfinitions andforlmulae of multivariate gradient and divergent operators on the generalized Wiener functionalspace, and the representation formula for generalized functionals by using gradent and divergentoperators and adapted projection. It is also shown that integral kernel operators can be expressedin terms of gradient and divergent operators.