5 citations · 6 across the 11 of their papers we have counts for
11 papers
Cameron-Storvick theorem associated with Gaussian paths on function space
Jae Gil Choi
The purpose of this paper is to provide a more general Cameron-Storvick theorem for the generalized analytic Feynman integral associated with Gaussian process on a v…
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…
A Cameron-Storvick type theorem on with applications
Jae Gil Choi, David Skoug
The purpose of this paper is to establish a very general Cameron-Storvick theorem involving the generalized analytic Feynman integral of functionals on the product function space $…
Fubini theorems for analytic Yeh-Feynman integrals associated with Gaussian processes with applications
Jae Gil Choi
In this paper we study an analytic Yeh--Feynman integral and an analytic Yeh--Fourier--Feynman transform associated with Gaussian processes. Fubini theorems involving the generaliz…
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…
Wiener integrals with respect to Yeh processes
Jae Gil Choi
We define Wiener integrals with respect to Yeh processes and study their properties. In particular, we obtain the martingale property of the associated stochastic processes and giv…
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…
A generalized analytic Fourier-Feynman transform on the product function space and related topics
Jae Gil Choi, Davis Skoug, Seung Jun Chang
In this paper we obtain various results involving the generalized analytic Fourier-Feynman transform and the first variation of functionals in a Fresnel type class defined on the p…