Conditional generalized Fourier-Feynman transform and conditional convolution product on a Banach algebra
Bull. Korean Math. Soc. 2004 Vol. 41, No. 1, 73-93 Printed March 1, 2004
Seung Jun Chang and Jae Gil Choi Dankook University, Dankook University
Abstract : In [10], Chang and Skoug used a generalized Brownian motion process to define a generalized analytic Feynman integral and a generalized analytic Fourier-Feynman transform. In this paper we define the conditional generalized Fourier-Feynman transform and conditional generalized convolution product on function space. We then establish some relationships between the conditional generalized Fourier-Feynman transform and conditional generalized convolution product for functionals on function space that belonging to a Banach algebra.
