Bourbaki

Remark

Tag 02J0, permanent. Cite it as [Bourbaki, Tag 02J0].

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

See no9^o9 and exercises 22 of II, p. 270 and 31 of II, p. 275 for other examples of function spaces on which the Fourier transform is an isomorphism, in the case of particular groups G.

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.

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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.