TOPICS
Search

Fourier Transform--Delta Function

The Fourier transform of the delta function is given by

F_x[delta(x-x_0)](k)=int_(-infty)^inftydelta(x-x_0)e^(-2piikx)dx
(1)
=e^(-2piikx_0).
(2)

See also

Delta Function, Fourier Transform

Explore with Wolfram|Alpha

References

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

Cite this as:

Weisstein, Eric W. "Fourier Transform--Delta Function." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/FourierTransformDeltaFunction.html

Subject classifications