Journal of the
Korean Mathematical Society JKMS

In this paper we define the concept of a conditional Fourier-Feynman transform and a conditional convolution product and obtain several interesting relationships between them. In particular we show that the conditional transform of the conditional convolution product is the product of conditional transforms, and that the conditional convolution product of conditional transforms is the conditional transform of the product of the functionals.

Keywords: analytic Feynman integral, Wiener integral, conditional Fourier-Feynman transform, conditional convolution product

MSC numbers: 28C20, 60J65