The Fourier transform of the constant function 
 is given by
| 
 
(1)
 
 | |||
| 
 
(2)
 
 | 
according to the definition of the delta function.
The Fourier transform of the constant function 
 is given by
| 
 
(1)
 
 | |||
| 
 
(2)
 
 | 
according to the definition of the delta function.
Weisstein, Eric W. "Fourier Transform--1." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/FourierTransform1.html