(1) Department of Mathematics, Faculty of Sciences of Tunis, Université de Tunis El Manar, 1060 Tunis, Tunisia
Abstract:
We develop the theory of operators defined on a space of holomorphic functions. First, we characterize such operators by a suitable space of holomorphic functions. Next, we show that every operator is a limit of a sequence of convolution and multiplication operators. Finally, we define the exponential of an operator which permits us to solve some quantum stochastic differential equations.