13 janvier 2020

Mateus Sousa (Munich)
Fourier uniqueness pairs

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Lieu : IMO ; salle 3L8.

Résumé : Given a collection of functions where the Fourier transform is well defined, we call a pair of sets (A, B) a Fourier uniqueness pair if every function that vanishes on the set A with a Fourier transform vanishing on the set B has to be identically zero. In case A coincides with B, we call it a Fourier uniqueness set. In this talk we will review the long history of problems involving Fourier uniqueness pairs and present some new results concerning Fourier uniqueness pairs consisting of sets of powers of integers.

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