English

A space of generalized Brownian motion path-valued continuous functions with application

Functional Analysis 2019-04-12 v2

Abstract

In this paper, we introduce the paths space C0gBm\mathcal C_0^{\mathrm{gBm}} which is consists of generalized Brownian motion path-valued continuous functions on [0,T][0,T]. We next present several relevant examples of the paths space integral. We then discuss the concept of the analytic Feynman integration theory for functionals FF on the paths space C0gBm\mathcal C_0^{\mathrm{gBm}}.

Cite

@article{arxiv.1903.12413,
  title  = {A space of generalized Brownian motion path-valued continuous functions with application},
  author = {Seung Jun Chang and Jae Gil Choi},
  journal= {arXiv preprint arXiv:1903.12413},
  year   = {2019}
}
R2 v1 2026-06-23T08:23:00.982Z