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

Open Mathematics (2005)

- Volume: 3, Issue: 3, page 475-495
- ISSN: 2391-5455

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topMyung Kim. "Analytic Feynman integrals of transforms of variation of cylinder type functions over Wiener paths in abstract Wiener space." Open Mathematics 3.3 (2005): 475-495. <http://eudml.org/doc/268895>.

@article{MyungKim2005,

abstract = {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.},

author = {Myung Kim},

journal = {Open Mathematics},

keywords = {28C20},

language = {eng},

number = {3},

pages = {475-495},

title = {Analytic Feynman integrals of transforms of variation of cylinder type functions over Wiener paths in abstract Wiener space},

url = {http://eudml.org/doc/268895},

volume = {3},

year = {2005},

}

TY - JOUR

AU - Myung Kim

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

JO - Open Mathematics

PY - 2005

VL - 3

IS - 3

SP - 475

EP - 495

AB - 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.

LA - eng

KW - 28C20

UR - http://eudml.org/doc/268895

ER -

## References

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