Analytic Feynman integrals of functionals in a Banach algebra involving the first variation

被引：0
|
作者：
Hyun Soo Chung
Vu Kim Tuan
Seung Jun Chang
机构：
[1] Dankook University,Department of Mathematics
[2] University of West Georgia,Department of Mathematics
来源：
Chinese Annals of Mathematics, Series B | 2016年 / 37卷
关键词：
Analytic Feynman integral; Banach algebra; First variation; Cameron-Storvick theorem; Wiener space; 60J65; 28C20;
D O I：
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学科分类号：
摘要：
This paper deals with the analytic Feynman integral of functionals on a Wiener space. First the authors establish the existence of the analytic Feynman integrals of functionals in a Banach algebra Sα. The authors then obtain a formula for the first variation of integrals. Finally, various analytic Feynman integration formulas involving the first variation are established.
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页码：281 / 290
页数：9
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