The Fourier Transform of Functions of Low Intrinsic Dimension
An N variable function which has intrinsic dimension M < N has a characteristic Fourier transform. Intuitively, since this type of function is constant along one or several dimensions its Fourier transform must appear like an impulse (the Fourier transform of a constant) along the same dimension in the frequency space.
Read more about this topic: Intrinsic Dimension
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