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Algebras of Operators on Holomorphic Functions and Applications |
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| Authors: | M Ben Chrouda H Ouerdiane |
| Institution: | (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. |
| Keywords: | symbols of operators infinite dimensional holomorphy convolution product of operators quantum stochastic differential equations |
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