Fourier conjugates and inverse units

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    Fourier Inverse Units
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SUMMARY

Fourier conjugates take inverse units due to the unitless nature of the exponentials involved, specifically ##e^{ikx}## and ##e^{i\omega t}##. This characteristic arises from the requirement that the arguments of these exponential functions must be dimensionless. Consequently, the units of the Fourier conjugates are inversely related to the units of the variables they transform.

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Why do Fourier conjugates take inverse units?
 
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Because the exponent of ##e^{ikx}## or ##e^{i\omega t}## is unitless.
 
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