Behavior of a First Variation under an Analytic Feynman Integral and a Convolution

DOI

10.2991/mbdasm-19.2019.5How to use a DOI?

Keywords

wiener space; wiener integral; feynman integral; fourier-stieltzes transform

Abstract

We investigate the behavior of a first variation under an analytic Feynman integral and a convolution for cylinder functions〖 f((h_1,x)〗^~,⋯,(h_n,x)^~ ) and we prove that the analytic Wiener integral and the analytic Feynman integral of the convolution of two cylinder functions can be successfully expressed as the product of two analytic Wiener integrals and two analytic Feynman integrals.

Copyright

© 2019, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Sik Kim Young
PY  - 2019/10
DA  - 2019/10
TI  - Behavior of a First Variation under an Analytic Feynman Integral and a Convolution
BT  - Proceedings of the 2019 International Conference on Mathematics, Big Data Analysis and Simulation and Modelling (MBDASM 2019)
PB  - Atlantis Press
SP  - 20
EP  - 25
SN  - 2352-538X
UR  - https://doi.org/10.2991/mbdasm-19.2019.5
DO  - 10.2991/mbdasm-19.2019.5
ID  - Young2019/10
ER  -