The Fourier transform of the constant function is given by

			(1)
			(2)

according to the definition of the delta function.

Bracewell, R. The Fourier Transform and Its Applications, 3rd ed. New York: McGraw-Hill, pp. 100-101, 1999.

CITE THIS AS:

Weisstein, Eric W. "Fourier Transform--1." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/FourierTransform1.html