3 ms·

Yup! This is the basis for Fourier analysis: http://en.wikipedia.org/wiki/Fourier_analysis http://en.wikipedia.org/wiki/Fourier_analysis

• kayescercle 13y ago
  Except that the author is referring to the entire domain (where a polynomial cannot be represented as a countably infinite sum of periodic functions), while a Fourier transform of a function has to be taken over a finite region like [a,b].
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  • gustavn4345 13y ago
    I'm pretty sure a Fourier _transform_ is over the entire domain while a Fourier _series_ is over a periodic function or finite region.