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Is there a way to make Fourier's ReFourier's Re and ImIm components separately track the results of FourierTransformFourierTransform? Is there a similar way to do the same for InverseFourierInverseFourier and InverseFourierTransformInverseFourierTransform? I have noticed other questions with answers for the absolute value of the transforms, but they oscillate wildly when dealing with the real or imaginary part individually.

Is there a way to make Fourier's Re and Im components separately track the results of FourierTransform? Is there a similar way to do the same for InverseFourier and InverseFourierTransform? I have noticed other questions with answers for the absolute value of the transforms, but they oscillate wildly when dealing with the real or imaginary part individually.

Is there a way to make Fourier's Re and Im components separately track the results of FourierTransform? Is there a similar way to do the same for InverseFourier and InverseFourierTransform? I have noticed other questions with answers for the absolute value of the transforms, but they oscillate wildly when dealing with the real or imaginary part individually.

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Re and Im relationships without Abs among Fourier, FourierTransform, InverseFourier, and InverseFourierTransform

Is there a way to make Fourier's Re and Im components separately track the results of FourierTransform? Is there a similar way to do the same for InverseFourier and InverseFourierTransform? I have noticed other questions with answers for the absolute value of the transforms, but they oscillate wildly when dealing with the real or imaginary part individually.