Poisson equations associated with differential second quantization operators in white noise analysis

被引：0

作者：

Chung, DM ^{[1
]}

Ji, UC

机构：

[1] Sogang Univ, Dept Math, Seoul 121742, South Korea

[2] Seoul Natl Univ, Dept Math, Global Anal Res Ctr, Seoul 151742, South Korea

来源：

ACTA APPLICANDAE MATHEMATICAE | 2000年 / 63卷 / 1-3期

关键词：

white noise; differential second quantization operator; one-parameter semigroup; potential; Poisson equation;

D O I：

10.1023/A:1010724103207

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we shall show the heredity of a differentiable one-parameter semigroup under the second quantization and then discuss the resolvent of the differential second quantization operator and the potentials of test white noise functionals. As an application, we shall investigate the existence of solutions of the Poisson-type equations associated with differential second quantization operators as well as operators similar to differential second quantization operators.

引用

页码：89 / 100

页数：12

共 16 条

[1] Poisson Equations Associated with Differential Second Quantization Operators in White Noise Analysis
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