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math.FA2019
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…
math.FA2019
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…
math.FA2019
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…