Parts formulas involving conditional generalized Feynman integrals and conditional generalized Fourier-Feynman transforms on function space

被引：5
|
作者：
Chang, SJ
Choi, JG
Skoug, D [1 ]
机构：
[1] Univ Nebraska, Dept Math, Lincoln, NE 68588 USA
[2] Dankook Univ, Dept Math, Cheonan 330714, South Korea
来源：
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2004年 / 15卷 / 06期
关键词：
generalized Brownian motion process; conditional generalized Feynman integral; conditional generalized Fourier-Reynman transform; Cameron-Storvick type theorem; first variation;
D O I：
10.1080/1065246042000271983
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we first establish a formula for the conditional generalized Feynman integral of the first variation of a functional F(x) with x in a very general function space C-a,C-b[0, T]. We then use this basic formula to obtain several integration by parts formulas for conditional generalized Feynman integrals and conditional generalized Fourier-Feynman transforms.
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页码：491 / 512
页数：22
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