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SUMMARY:Lukas Liehr (Bar Ilan University)
DTSTART:20261009T140000Z
DTEND:20261009T150000Z
DTSTAMP:20261006T044748Z
UID:OARS/81
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OARS/81/">Th
 e Olevskii-Ulanovskii problem on universal Fourier uniqueness</a>\nby Luka
 s Liehr (Bar Ilan University) as part of OARS Online Analysis Research Sem
 inar\n\nInteractive livestream: https://uml.zoom.us/j/93784530288\n\nAbstr
 act\nThe classical Fourier uniqueness theorem states that a function in L
 ²(0\,1) is determined by its Fourier coefficients. Equivalently\, the exp
 onential system { exp(2πiλx) : λ ∈ ℤ } with integers λ ∈ ℤ is 
 complete in the space L²(S) with S = [0\,1]. The Olevskii–Ulanovskii pr
 oblem asks whether there exists a single irregular point set Λ so that th
 e corresponding exponential system { exp(2πiλx) : λ ∈ Λ } is complet
 e in L²(S) for every set S with sufficiently small measure. In this talk\
 , I will present a recent affirmative answer to this problem and discuss i
 ts various extensions and applications. The talk is based on joint work wi
 th Susanna Bertolini\, Enric Florit-Simon and Mitchell Taylor.\n
LOCATION:https://researchseminars.org/talk/OARS/81/
URL:https://uml.zoom.us/j/93784530288
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