Bourbaki

Corollary

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

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

The Fourier cotransform of L2(G^)L^2(\widehat{G}) onto L2(G)L^2(G) and the Fourier transform of L2(G)L^2(G) onto L2(G^)L^2(\widehat{G}) are reciprocal isometries of one another.

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

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Cites

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Machine translation of the English, by gpt-5.4, gpt-5-6-mini, against glossary version 34. Not checked by a person. That model is a cut down version of the one the rest of this language was written by.