Remark 2

Tag 02IL, permanent. Cite it as [Bourbaki, Tag 02IL].

Théories spectrales, chapter II, § 1. Transformation de Fourier

The formulas

\|\overline{\mathscr{F}}(f)\|^2=\|f\|^2 \tag{23}

for $f\in L^2(G)$ , or else

\int_Gf(x)\overline{g(x)}dx=\int_{\widehat{G}}\mathscr{F}(f)(\chi )\overline{\mathscr{F}(g)(\chi)}d\chi \tag{24}

for $f$ and $g$ in $L^2(G)$ , are called "Plancherel formulas".

Bourbaki sets the proof directly after the statement, and the corpus does not separate them, so what is above is the statement and its proof together.

Cited by

Nothing.

Cites

Nothing.