A Rotation of Admixable Operators on Abstract Wiener Space with Applications

Abstract EN

We investigate certain rotation properties of the abstract Wiener measure.

To determine our rotation property for the Wiener measure, we introduce the concept of an admixable operator via an algebraic structure on abstract Wiener space.

As for applications, we define the analytic Fourier-Feynman transform and the convolution product associated with the admixable operators and proceed to establish the relationships between this transform and the corresponding convolution product.