MULTIPLE GENERALIZED ANALYTIC FOURIER-FEYNMAN TRANSFORM VIA ROTATION OF GAUSSIAN PATHS ON FUNCTION SPACE

作者：Chang Seung Jun; Choi Jae Gil^*; Ko Ae Young

来源：Banach Journal of Mathematical Analysis, 2015, 9(4): 58-80.

DOI：10.15352/bjma/09-4-4

• Generalized Brownian motion process
• Gaussian process
• generalized analytic Feynman integral
• generalized analytic Fourier-Feynman transform
• multiple generalized analytic Fourier-Feynman transform

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,C-b [0, T] induced by a generalized Brownian motion process. We then establish a relationship between these two generalized analytic transforms.

• 出版日期2015