Fubini theorems for analytic Yeh-Feynman integrals associated with Gaussian processes with applications
Functional Analysis
2021-05-12 v3
Abstract
In this paper we study an analytic Yeh--Feynman integral and an analytic Yeh--Fourier--Feynman transform associated with Gaussian processes. Fubini theorems involving the generalized analytic Yeh--Feynman integrals are established. The Fubini theorems investigated in this paper are to express the iterated generalized Yeh--Feynman integrals associated with Gaussian processes as a single generalized Yeh--Feynman integral. Using our Fubini theorems, we next examined fundamental relationships (with extended versions) between generalized Yeh--Fourier--Feynman transforms and convolution products (with respect to Gaussian processes) of functionals on Yeh--Wiener space.
Keywords
Cite
@article{arxiv.2001.02770,
title = {Fubini theorems for analytic Yeh-Feynman integrals associated with Gaussian processes with applications},
author = {Jae Gil Choi},
journal= {arXiv preprint arXiv:2001.02770},
year = {2021}
}