Generalization of first order differential operators associated to the Cauchy-Riemann operator in the Rn

In this paper we will discuss on the initial value problems of type where t is the time and F is a linear first order operator w Fw,w(o,.) acting in the t   . The article in hand constructs, conversely, all linear operators F for which the initial value Rnproblem with an arbitrary holomorphic initial function is always solvable.