TY - JOUR
T1 - Change of scale formulas for function space integrals related with Fourier-Feynman transform and convolution on $C_{a,b}[0,T]$
AU - Kim, Byoung Soo
PY - 2015/3
Y1 - 2015/3
N2 - We express generalized Fourier-Feynman transform and convolution product of functionals in a Banach algebra $\mathcal{S}(L^2_{a,b}[0,T])$ as limits of function space integrals on $C_{a,b}[0,T]$. Moreover we obtain change of scale formulas for function space integrals related with generalized Fourier-Feynman transform and convolution product of these functionals.
AB - We express generalized Fourier-Feynman transform and convolution product of functionals in a Banach algebra $\mathcal{S}(L^2_{a,b}[0,T])$ as limits of function space integrals on $C_{a,b}[0,T]$. Moreover we obtain change of scale formulas for function space integrals related with generalized Fourier-Feynman transform and convolution product of these functionals.
U2 - 10.11568/kjm.2015.23.1.47
DO - 10.11568/kjm.2015.23.1.47
M3 - Article
SN - 1976-8605
VL - 23
SP - 47
EP - 64
JO - 한국수학논문집
JF - 한국수학논문집
IS - 1
ER -