The Parseval identity for a complex Fourier series is
(1)
It holds for every square-integrable function, with complex conjugation expressed by the absolute squares. It is the Pythagorean theorem extended to the complete orthonormal system of complex exponentials.

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  1. ii
  2. 17D
  3. Paper 4
  4. ib
  5. 2014
  6. Past exam of the mathematics course of the University of Cambridge
  7. Mathematics course of the University of Cambridge
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