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math.PR2021
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…
math.PR2015★ 5 cited
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…
math.PR2015
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…