We present much briefer and more direct and transparent derivations of some sampling and series expansion relations for fractional Fourier and other transforms. In addition to the fractional Fourier transform, the method can also be applied to the Fresnel, Hartley, and scale transform and other relatives of the Fourier transform.
['Çag̃atay Candan', 'Haldun M. Ozaktas']
Sampling and series expansion theorems for fractional Fourier and other transforms