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Imagine a random parametric curve in $\mathbb{R}^n$. Can the parametric equation always be expressed as a sum of sines and cosines, as a Fourier series? Does anyone know a good introduction to how to do this?

  • In math "random" has a very specific meaning, used in probability. It seems unappropriate to say "random curve" – Crostul Feb 20 '22 at 10:53
  • Does this answer your question? https://math.stackexchange.com/questions/1378633/every-function-can-be-represented-as-a-fourier-series – R. Burton Feb 21 '22 at 00:09

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