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Analytic Feynman integrals of transforms of variation of cylinder type functions over Wiener paths in abstract Wiener space

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Kim M.

Open Mathematics

2005

tom 3

nr 3

475-495

In this paper, we evaluate various analytic Feynman integrals of first variation, conditional first variation, Fourier-Feynman transform and conditional Fourier-Feynman transform of cylinder type functions defined over Wiener paths in abstract Wiener space. We also derive the analytic Feynman integral of the conditional Fourier-Feynman transform for the product of the cylinder type functions which define the functions in a Banach algebra introduced by Yoo, with n linear factors.

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1 Open Mathematics

1 Kim M.

1 2005

Wyniki wyszukiwania

Analytic Feynman integrals of transforms of variation of cylinder type functions over Wiener paths in abstract Wiener space