Abstract
The main purpose of this article is to develop the generalized analytic Fourier--Feynman transform theory. We introduce a generalized analytic Fourier--Feynman transform and a multiple generalized analytic Fourier--Feynman transform with respect to Gaussian processes on the function space $C_{a,b}[0,T]$ induced by a generalized Brownian motion process. We then establish a relationship between these two generalized analytic transforms.
Citation
Seung Jun Chang. Jae Gil Choi. Ae Young Ko. "Multiple generalized analytic Fourier--Feynman transform via rotation of Gaussian paths on function space." Banach J. Math. Anal. 9 (4) 58 - 80, 2015. https://doi.org/10.15352/bjma/09-4-4
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