Parseval's theorem | Wikipedia audio article
Channel: wikipedia tts
Date: 2018-12-28

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Parseval%27s_theorem


00:00:38 1 Statement of Parseval's theorem
00:05:21 2 Notation used in  physics
00:09:50 3 See also



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SUMMARY
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In mathematics, Parseval's theorem  usually refers to the result that the Fourier transform is unitary; loosely, that the sum (or integral) of the square of a function is equal to the sum (or integral) of the square of its transform.  It originates from a 1799 theorem about series by Marc-Antoine Parseval, which was later applied to the Fourier series.  It is also known as Rayleigh's energy theorem, or Rayleigh's Identity, after John William Strutt, Lord Rayleigh.Although the term "Parseval's theorem" is often used to describe the unitarity of any Fourier transform, especially in physics, the most general form of this property is more properly called the Plancherel theorem.