Integration by parts formulas for analytic Feynman integrals of unbounded functionals

被引：4
|
作者：
Kim, Bong Jin [1 ,4 ]
Kim, Byoung Soo [2 ,3 ]
机构：
[1] Daejin Univ, Dept Math, Pochon, South Korea
[2] Seoul Natl Univ Technol, Sch Liberal Arts, Seoul, South Korea
[3] Seoul Natl Univ Technol, Sch Liberal Arts, Seoul, South Korea
[4] Daejin Univ, Dept Math, Pochon, South Korea
来源：
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2009年 / 20卷 / 01期
关键词：
abstract Wiener space; Fresnel class; analytic Feynman integral; integration by parts; Fourier-Feynman transform; ABSTRACT WIENER; TRANSFORMS; CONVOLUTION;
D O I：
10.1080/10652460802442299
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Chang, Choi and Skoug established several integration by parts formulas involving generalized Feynman integrals, generalized Fourier-Feynman transforms, and the first variation of cylinder-type functionals. We establish integration by parts formulas for analytic Feynman integrals of unbounded functionals on abstract Wiener space having the form [image omitted] where G belongs to the Fresnel class F(B) and =+ with L1(n) and is the Fourier transform of a complex Borel measure of bounded variation on n. We also study integration by parts formulas for the analytic Feynman integral involving the Fourier-Feynman transform of those functionals in F(B).
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页码：45 / 57
页数：13
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