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| Analytic Feynman Integrals of Functionals in a Banach Algebra Involving the First Variation |
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Citation： |
Hyun Soo CHUNG,Vu Kim TUAN,Seung Jun CHANG.Analytic Feynman Integrals of Functionals in a Banach Algebra Involving the First Variation[J].Chinese Annals of Mathematics B,2016,37(2):281~290 |
| Page view： 6464
Net amount： 3977 |
Authors： |
Hyun Soo CHUNG; Vu Kim TUAN;Seung Jun CHANG |
Foundation： |
This work was supported by the research fund of Dankook
University in $2015$. |
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| Abstract： |
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
$\mathcal{S}_\alpha$. The authors then obtain a formula for the
first variation of integrals. Finally, various analytic Feynman
integration formulas involving the first variation are established. |
Keywords： |
Analytic Feynman integral, Banach algebra, First variation,
Cameron-Storvick theorem, Wiener space |
Classification： |
60J65, 28C20 |
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