Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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ANALYTIC FOURIER-FEYNMAN TRANSFORM AND FIRST VARIATION ON ABSTRACT WIENER SPACE

  • Published : 2001.03.01
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Abstract

In this paper we express analytic Feynman integral of the first variation of a functional F in terms of analytic Feynman integral of the product F with a linear factor and obtain an integration by parts formula of the analytic Feynman integral of functionals on abstract Wiener space. We find the Fourier-Feynman transform for the product of functionals in the Fresnel class F(B) with n linear factors.

Keywords

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