Abstract
Fourier transform is a linear transform that applicants in the field of engineering and physics. The main goal of this research study is to give a self-contained study of the Fourier transform. As a modern analysis tool, the Fourier Transform has multiple applications in many fields, from the study of partial differential equations to dynamical systems. Fourier transformation has played a key role in many research fields. In this paper, we summarize the basic computational properties of the Fourier transformation and give proof of the Plancherel formula.
| Original language | English |
|---|---|
| Article number | 012080 |
| Journal | Journal of Physics: Conference Series |
| Volume | 2012 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 8 Sept 2021 |
| Externally published | Yes |
| Event | 2021 5th International Conference on Mechanics, Mathematics and Applied Physics, ICMMAP 2021 - Guilin, China Duration: 23 Jul 2021 → 25 Jul 2021 |