Let and be arbitrary functions of time with Fourier Transforms. Take
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See also Autocorrelation, Convolution, Fourier Transform, Wiener-Khintchine Theorem
References
Arfken, G. ``Convolution Theorem.'' §15.5 in Mathematical Methods for Physicists, 3rd ed.
Orlando, FL: Academic Press, pp. 810-814, 1985.
Bracewell, R. ``Convolution Theorem.'' The Fourier Transform and Its Applications. New York: McGraw-Hill, pp. 108-112, 1965.
© 1996-9 Eric W. Weisstein