Abstract
The Fourier transform operator and other operations that occur in Fourier analysis, such as scaling, translation, multiplication by a function and convolution are looked upon as linear integral operators and it is shown how the basic theorems of Fourier analysis may be expressed in terms of them. Certain advantages of this point of view are demonstrated with examples showing the connections to other related operators such as the fractional Fourier transform and states such as those of the quantum mechanical harmonic oscillator and coherent states.
| Original language | English |
|---|---|
| Pages (from-to) | 501-510 |
| Number of pages | 10 |
| Journal | European Journal of Physics |
| Volume | 20 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - Nov 1999 |