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Talk:Plancherel theorem

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What is the Plancherel transform

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The article mentions the Plancherel transform which neither has a wikipedia entry nor is defined in the article. What I learned from the german version is that the "Plancherel transform" or "Fourier-Plancherel transform" is similar to the Fourier transform but defined for L2 instead of L1. Can anyone confirm this and add it to the article please? Thanks Upps, just saw the definition in the text --Nobelium (talk) 13:07, 31 August 2018 (UTC)[reply]

It would greatly improve this article ...

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... if it stated explicitly how it is defining the Fourier transform.

Especially since there are many versions of the Fourier transform, and not all of these are isometries on L2.

In fact, it is ridiculous that this article does not state how it is defining the Fourier transform.