The Behavior of the First Variation Under the Fourier-Feynman Transform on Abstract Wiener Spaces

被引：0
|
作者：
Young Sik Kim
机构：
[1] Research Institute for Basic Sciences,
[2] Pusan National University,undefined
[3] Busan 609-735,undefined
来源：
Journal of Fourier Analysis and Applications | 2006年 / 12卷
关键词：
Differential Equation; Partial Differential Equation; Fourier Analysis; Wiener Space; Abstract Wiener Space;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We construct the behavior of the first variation under the Fourier-Feynman transform and we show that theWiener integral of the first variation can be nicely behaved under the Fourier-Feynman transform for functionals F(x) = ∫H exp{i (h, x)~} dμ(h) in the Fresnel class and the Fourier-Feynman transform of the first variation can be perfectly expressed as the limit of Wiener integrals of the first variation on the abstract Wiener space.
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页码：233 / 242
页数：9
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