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Fourier-Feynman transform, convolution and first variation

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Abstract

We examine several interesting relationships and expressions involving Fourier-Feynman transform, convolution product and first variation for functionals in the Fresnel class F(B) of an abstract Wiener space B. We also prove a translation theorem and Parseval's identity for the analytic Feynman integral.

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Ahn, J.M., Chang, K.S., Kim, B.S. et al. Fourier-Feynman transform, convolution and first variation. Acta Mathematica Hungarica 100, 215–235 (2003). https://doi.org/10.1023/A:1025041525913

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