OAI/Analysis/KadisonKastler/FourierL1Uniqueness.lean

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Fourier uniqueness for integrable vector functions

The distribution embedding is injective. Fubini identifies its Fourier transform with the ordinary integral Fourier transform, so a vanishing integral transform forces the original function to vanish almost everywhere.

  1. theorem OAI.KadisonKastler.ae_zero_of_integrable_fourier_zero line 20