Algebras of Operators on Holomorphic Functions and Applications

被引：0
|
作者：
M. Ben Chrouda
H. Ouerdiane
机构：
[1] Université de Tunis El Manar,Department of Mathematics, Faculty of Sciences of Tunis
来源：
Mathematical Physics, Analysis and Geometry | 2002年 / 5卷
关键词：
symbols of operators; infinite dimensional holomorphy; convolution product of operators; quantum stochastic differential equations;
D O I：
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中图分类号：
学科分类号：
摘要：
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.
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页码：65 / 76
页数：11
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