Abstract
We develop a Fourier-Feynman theory for Fourier-type functionals ${\Delta}^kF$ and $\widehat{{\Delta}^kF}$ on Wiener space. We show that Fourier-Feynman transform and convolution of Fourier-type functionals exist. We also show that the Fourier-Feynman transform of the convolution product of Fourier-type functionals is a product of Fourier-Feynman transforms of each functionals.
| Original language | English |
|---|---|
| Pages (from-to) | 467-479 |
| Number of pages | 13 |
| Journal | East Asian Mathematical Journal |
| Volume | 29 |
| Issue number | 5 |
| DOIs | |
| State | Published - Nov 2013 |