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Plancherel theorem

| 🗖 nosplit | ↑ parent "" | words: 150 | descendant words: 248 | descendants: 2
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Some sources say that this is just the part that says that the norm of a function is the same as the norm of its Fourier transform.
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Others say that this theorem actually says that the Fourier transform is bijective.
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The comment at https://math.stackexchange.com/questions/446870/bijectiveness-injectiveness-and-surjectiveness-of-fourier-transformation-define/1235725#1235725 may be of interest, it says that the bijection statement is an easy consequence from the norm one, thus the confusion.
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Ancestors

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