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.
@article{bwmeta1.element.doi-10_2478_BF02475918,
author = {Myung Kim},
title = {Analytic Feynman integrals of transforms of variation of cylinder type functions over Wiener paths in abstract Wiener space},
journal = {Open Mathematics},
volume = {3},
year = {2005},
pages = {475-495},
zbl = {1118.28007},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_BF02475918}
}
Myung Kim. Analytic Feynman integrals of transforms of variation of cylinder type functions over Wiener paths in abstract Wiener space. Open Mathematics, Tome 3 (2005) pp. 475-495. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_BF02475918/
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