Abstract
In this paper, we define the conditional Fourier-Feynman transform and the conditional convolution product over Wiener paths in abstract Wiener space. Using a simple formula, we obtain conditional Feynman integrals of Fourier-Feynman transform and convolution product of cylinder type functions. For these functions, we evaluate the conditional Fourier-Feynman transforms and the conditional convolution products, and show that the conditional Fourier-Feynman transform of the conditional convolution product is a product of the conditional Fourier-Feynman transforms.
| Original language | English |
|---|---|
| Pages (from-to) | 217-235 |
| Number of pages | 19 |
| Journal | Integral Transforms and Special Functions |
| Volume | 14 |
| Issue number | 3 |
| DOIs | |
| State | Published - Jun 2003 |
Keywords
- Conditional Fourier-Feynman transform
- Conditional Wiener integral
- Conditional analytic Feynman integral
- Conditional convolution product
- Cylinder type function
- Simple formula for conditional Wiener integral