Bourbaki

Remark 2

Tag 02K3, permanent. Cite it as [Bourbaki, Tag 02K3].

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

There exist functions f∈B(R)f\in B(\mathbf{R}) such that the series ∑n∈Zf(n)\sum_{n\in\mathbf{Z}}f(n) diverges (exercise 4 of II, p. 263).

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.