Bourbaki

Remark 2

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

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

The canonical mapping from G^\widehat{G} into X(M1(G))\mathsf{X}(\mathscr{M}^1(G)) is not surjective in general (II, p. 308, exercise 14).

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.