A Rotation on Wiener Space with Applications

Abstract EN

We first investigate a rotation property of Wiener measure on the product of Wiener spaces.

Next, using the concept of the generalized analytic Feynman integral, we define a generalized Fourier-Feynman transform and a generalized convolution product for functionals on Wiener space.

We then proceed to establish a fundamental result involving the generalized transform and the generalized convolution product.