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文章基本信息

  • 标题:Relationships among transforms, convolutions, and first variations
  • 本地全文:下载
  • 作者:Jeong Gyoo Kim ; Jung Won Ko ; Chull Park
  • 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).
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