The important property of Fourier transforms that
can be expressed in terms of
as follows,
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Modulation Theorem -- from Wolfram MathWorld
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Modulation Theorem
See also
Fourier TransformExplore with Wolfram|Alpha

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References
Bracewell, R. "Modulation Theorem." The Fourier Transform and Its Applications, 3rd ed. New York: McGraw-Hill, p. 108, 1999.Referenced on Wolfram|Alpha
Modulation TheoremCite this as:
Weisstein, Eric W. "Modulation Theorem." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/ModulationTheorem.html