文章基本信息

标题：Relationships among transforms, convolutions, and first variations
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作者：Jeong Gyoo Kim ; Jung Won Ko ; Chull Park 等
期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：1999
卷号：22
DOI：10.1155/S0161171299221916
出版社：Hindawi Publishing Corporation
摘要：In this paper, we establish several interesting relationships involving the Fourier-Feynman transform, the convolution product, and the first variation for functionals F on Wiener space of the form F(x)=f(〈α1,x〉,…,〈αn,x〉),                                                      (*) where 〈αj,x〉 denotes the Paley-Wiener-Zygmund stochastic integral ∫0Tαj(t)dx(t).