Fourier-Feynman transform, convolution and first variation

被引：13

作者：

Ahn, JM

Chang, KS

Kim, BS

Yoo, I ^{[1
]}

机构：

[1] Konkuk Univ, Dept Math Educ, Seoul 143701, South Korea

[2] Yonsei Univ, Dept Math, Seoul 120749, South Korea

[3] Yonsei Univ, Dept Math, Kangwon Do 220710, South Korea

来源：

ACTA MATHEMATICA HUNGARICA | 2003年 / 100卷 / 03期

关键词：

abstract Wiener space; analytic Feynman integral; L-p analytic Fourier-Feynman transform; convolution; first variation; Fresnel class;

D O I：

10.1023/A:1025041525913

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We examine several interesting relationships and expressions involving Fourier-Feynman transform, convolution product and first variation for functionals in the Fresnel class F(B) of an abstract Wiener space B. We also prove a translation theorem and Parseval's identity for the analytic Feynman integral.

引用

页码：215 / 235

页数：21

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