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- W2062840723 abstract "In this paper we use a generalized Brownian motion process to define a generalized Feynman integral and a generalized Fourier-Feynman transform. We establish a translation theorem and use it to express the generalized Feynman integral of the first variation of a functional F in terms of the generalized Feynman integral of F multiplied by a linear factor. We establish some integration by parts formulas for generalized Feynman integrals and transforms. We also find the generalized Fourier-Feynman transform of a functional F belonging to a Banach algebra 𝒮(L 2 a, b [0, T]) after it has been multiplied by n linear factors; none of these linear factors belong to 𝒮(L 2 a, b [0, T]). Finally we established some new generalized Feynman integration formulas." @default.
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- W2062840723 date "2003-10-01" @default.
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- W2062840723 title "Generalized Fourier-Feynman transforms and a first variation on function space" @default.
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- W2062840723 doi "https://doi.org/10.1080/1065246031000074425" @default.
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