Gross Laplacian Acting on Operators

被引：0
|
作者：
Samah Horrigue
Habib Ouerdiane
机构：
[1] University of Tunis El-Manar,Department of Mathematics, Faculty of Sciences of Tunis
来源：
Acta Applicandae Mathematicae | 2009年 / 105卷
关键词：
Space of entire functions with growth condition; Symbols and kernels of operators; Convolution product; Classical and quantum Gross Laplacian; 60H40; 60H15; 46F25; 46G20; 81S25;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we introduce a noncommutative extension of the Gross Laplacian, called quantum Gross Laplacian, acting on some analytical operators. For this purpose, we use a characterization theorem between this class of operators and their symbols. Applying the quantum Gross Laplacian to the particular case where the operator is the multiplication one, we establishes a relation between the classical and the quantum Gross Laplacians.
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页码：227 / 239
页数：12
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