@article {
author = {Cho, Dong Hyun},
title = {A Banach algebra with its applications over paths of bounded variation},
journal = {Advances in Operator Theory},
volume = {3},
number = {4},
pages = {794-806},
year = {2018},
publisher = {Tusi Mathematical Research Group (TMRG)},
issn = {2538-225X},
eissn = {2538-225X},
doi = {10.15352/aot.1802-1310},
abstract = {Let $C[0,T]$ denote the space of continuous, real-valued functions on $[0,T]$. In this paper we introduce two Banach algebras: one of them is defined on $C[0,T]$ and the other is a space of equivalence classes of measures over paths of bounded variation on $[0,T]$. We establish an isometric isomorphism between them, and evaluate analytic Feynman integrals of the functions in the Banach algebras which play significant roles in the Feynman integration theories and quantum mechanics.},
keywords = {Banach algebra,Feynman integral,Ito integral,Paley-Wiener-Zygmund integral,Wiener space},
url = {http://www.aot-math.org/article_61910.html},
eprint = {http://www.aot-math.org/article_61910_0e3e96a519a19ea5b64be80b3c07a269.pdf}
}