TY - JOUR
T1 - Integration by parts formulas for analytic Feynman integrals of unbounded functionals
AU - Kim, Bong Jin
AU - Kim, Byoung Soo
PY - 2009/1
Y1 - 2009/1
N2 - Chang, Choi and Skoug established several integration by parts formulas involving generalized Feynman integrals, generalized Fourier-Feynman transforms, and the first variation of cylinder-type functionals. We establish integration by parts formulas for analytic Feynman integrals of unbounded functionals on abstract Wiener space having the form [image omitted] where G belongs to the Fresnel class and is the Fourier transform of a complex Borel measure of bounded variation on n. We also study integration by parts formulas for the analytic Feynman integral involving the Fourier-Feynman transform of those functionals in F(B).
AB - Chang, Choi and Skoug established several integration by parts formulas involving generalized Feynman integrals, generalized Fourier-Feynman transforms, and the first variation of cylinder-type functionals. We establish integration by parts formulas for analytic Feynman integrals of unbounded functionals on abstract Wiener space having the form [image omitted] where G belongs to the Fresnel class and is the Fourier transform of a complex Borel measure of bounded variation on n. We also study integration by parts formulas for the analytic Feynman integral involving the Fourier-Feynman transform of those functionals in F(B).
KW - Abstract Wiener space
KW - Analytic Feynman integral
KW - Fourier-Feynman transform
KW - Fresnel class
KW - Integration by parts
UR - http://www.scopus.com/inward/record.url?scp=58049169904&partnerID=8YFLogxK
U2 - 10.1080/10652460802442299
DO - 10.1080/10652460802442299
M3 - Article
AN - SCOPUS:58049169904
SN - 1065-2469
VL - 20
SP - 45
EP - 57
JO - Integral Transforms and Special Functions
JF - Integral Transforms and Special Functions
IS - 1
ER -