TY - JOUR
ID - 61910
T1 - A Banach algebra with its applications over paths of bounded variation
JO - Advances in Operator Theory
JA - AOT
LA - en
SN -
A1 - Cho, Dong Hyun
Y1 - 2018
PY - 2018/10/01
VL - 3
IS - 4
SP - 794
EP - 806
KW - Banach algebra
KW - Feynman integral
KW - Ito integral
KW - Paley-Wiener-Zygmund integral
KW - Wiener space
DO - 10.15352/aot.1802-1310
N2 - 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.
UR - http://www.aot-math.org/article_61910.html
L1 - http://www.aot-math.org/pdf_61910_0e3e96a519a19ea5b64be80b3c07a269.html
ER -