Abstract
This paper is a further development of the recent results by the author and coworker on the generalized sequential Fourier-Feynman transform for functionals in a Banach algebra Ŝ and some related functionals. We establish existence of the generalized first variation of these functionals. Also we investigate various relationships between the generalized sequential Fourier-Feynman transform, the generalized sequential convolution product and the generalized first variation of the functionals.
| Original language | English |
|---|---|
| Pages (from-to) | 521-536 |
| Number of pages | 16 |
| Journal | Korean Journal of Mathematics |
| Volume | 31 |
| Issue number | 4 |
| DOIs | |
| State | Published - 30 Dec 2023 |
Keywords
- Banach algebra Ŝ
- generalized first variation
- generalized sequential convolution product
- generalized sequential Feynman integral
- generalized sequential Fourier-Feynman transform