# American Institute of Mathematical Sciences

November  2018, 17(6): 2225-2238. doi: 10.3934/cpaa.2018106

## A Cameron-Storvick theorem for the analytic Feynman integral associated with Gaussian paths on a Wiener space and applications

 Department of Mathematics, Dankook University, Cheonan 330-714, Republic of Korea

* Corresponding author

Received  March 2017 Revised  February 2018 Published  June 2018

The purpose of this paper is to establish a Cameron-Storvick theorem for the analytic Feynman integral of functionals in non-stationary Gaussian processes on Wiener space. As interesting applications, we apply this theorem to evaluate the generalized analytic Feynman integral of certain polynomials in terms of Paley-Wiener-Zygmund stochastic integrals.

Citation: Seung Jun Chang, Jae Gil Choi. A Cameron-Storvick theorem for the analytic Feynman integral associated with Gaussian paths on a Wiener space and applications. Communications on Pure & Applied Analysis, 2018, 17 (6) : 2225-2238. doi: 10.3934/cpaa.2018106
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