TY - JOUR
T1 - A change of scale formula for a function space integral on Ca,b[0, T]
AU - Yoo, Il
AU - Kim, Bong Jin
AU - Kim, Byoung Soo
PY - 2013/8
Y1 - 2013/8
N2 - Cameron and Storvick discovered change of scale formulas for Wiener integrals of functionals in a Banach algebra S on classical Wiener space. Yoo and Skoug extended these results for functionals in the Fresnel class F(B) and in a generalized Fresnel class FA1,A2 on abstract Wiener space. We establish a relationship between a function space integral and a generalized analytic Feynman integral on Ca,b[0, T] for functionals in a Banach algebra S(L2 a,b[0, T]). Moreover, we obtain a change of scale formula for a function space integral on Ca,b[0, T] of these functionals.
AB - Cameron and Storvick discovered change of scale formulas for Wiener integrals of functionals in a Banach algebra S on classical Wiener space. Yoo and Skoug extended these results for functionals in the Fresnel class F(B) and in a generalized Fresnel class FA1,A2 on abstract Wiener space. We establish a relationship between a function space integral and a generalized analytic Feynman integral on Ca,b[0, T] for functionals in a Banach algebra S(L2 a,b[0, T]). Moreover, we obtain a change of scale formula for a function space integral on Ca,b[0, T] of these functionals.
KW - Change of scale formula
KW - Function space integral
KW - Generalized analytic Feynman integral
UR - https://www.scopus.com/pages/publications/84878166488
U2 - 10.1090/S0002-9939-2013-11598-4
DO - 10.1090/S0002-9939-2013-11598-4
M3 - Article
AN - SCOPUS:84878166488
SN - 0002-9939
VL - 141
SP - 2729
EP - 2739
JO - Proceedings of the American Mathematical Society
JF - Proceedings of the American Mathematical Society
IS - 8
ER -