5 citations · 6 across the 7 of their papers we have counts for
7 papers
Analytic operator-valued generalized Feynman integral on function space
Jae Gil Choi
In this paper an analytic operator-valued generalized Feynman integral was studied on a very general Wiener space . The general Wiener space is a funct…
Generalized Fourier--Feynman transforms and generalized convolution products on Wiener space II
Sang Kil Shim, Jae Gil Choi
The purpose of this article is to present the second type fundamental relationship between the generalized Fourier--Feynman transform and the generalized convolution product on Wie…
A space of generalized Brownian motion path-valued continuous functions with application
Seung Jun Chang, Jae Gil Choi
In this paper, we introduce the paths space which is consists of generalized Brownian motion path-valued continuous functions on . We next pres…
Parts formulas involving the Fourier-Feynman transform associated with Gaussian process on Wiener space
Seung Jun Chand, Jae Gil Choi
In this paper, using a very general Cameron--Storvick theorem on the Wiener space , we establish various integration by parts formulas involving generalized analytic Feyn…
Analytic Fourier--Feynman transforms and convolution type operations associated with Gaussian processes on Wiener space
Jae Gil Choi, Seung Jun Chang
In this paper we introduce the concept of a convolution type operation of functionals on Wiener space. It contains several kinds of the concepts of convolution products on Wiener s…
Algebraic structure of the analytic Fourier-Feynman transform associated with Gaussian processes on Wiener space
Seung Jun Chang, Jae Gil Choi, David Skoug
In this paper we study algebraic structures of the classes of the analytic Fourier-Feynman transforms on Wiener space. To do this we first develop several rotation properties…