Bilateral Laplace-Feynman transform for cylinder functionals on Wiener space

被引：1

作者：

Choi, Jae Gil ^{[1
]}

Chang, Seung Jun ^{[1
]}

机构：

[1] Dankook Univ, Dept Math, Cheonan 330714, South Korea

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2014年 / 25卷 / 02期

基金：

新加坡国家研究基金会;

关键词：

bilateral Laplace transform; analytic bilateral Laplace-Feynman transform; translation theorem; analytic Fourier-Feynman transform;

D O I：

10.1080/10652469.2013.829472

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to introduce the analytic bilateral Laplace-Feynman transform for cylinder functionals on Wiener space. Using our translation theorem for the Wiener integral, we also examine the relationship between the bilateral Laplace-Feynman transform and the Fourier-Feynman transform.

引用

页码：148 / 162

页数：15

共 11 条

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