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Fourier Transform--1


The Fourier transform of the constant function f(x)=1 is given by

F_x[1](k)=int_(-infty)^inftye^(-2piikx)dx
(1)
=delta(k),
(2)

according to the definition of the delta function.


See also

Delta Function, Fourier Transform

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References

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. https://mathworld.wolfram.com/FourierTransform1.html

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