Abstract
In this paper, we establish various relationships among the Fourier-Feynman transform, convolution and first variation of functionals in some Banach algebra, defined on the space of abstract Wiener space valued continuous functions, which corresponds to the Banach algebra defined on classical Wiener space introduced by Cameron and Storvick.
| Original language | English |
|---|---|
| Pages (from-to) | 789-812 |
| Number of pages | 24 |
| Journal | Rocky Mountain Journal of Mathematics |
| Volume | 40 |
| Issue number | 3 |
| DOIs | |
| State | Published - 2010 |
Keywords
- Banach algebra S
- Convolution
- Feynman integral
- First variation
- Fourier-Feynman transform
- Wiener space