BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Lukas Liehr (Bar Ilan University)
DTSTART:20261009T140000Z
DTEND:20261009T150000Z
DTSTAMP:20261026T205947Z
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\n\nAbstract\nThe classical Fourier uniqueness theorem states that a
  function in L²(0\,1) is determined by its Fourier coefficients. Equivale
 ntly\, the exponential system { exp(2πiλx) : λ ∈ ℤ } with integers 
 λ ∈ ℤ is complete in the space L²(S) with S = [0\,1]. The Olevskii
 –Ulanovskii problem asks whether there exists a single irregular point s
 et Λ so that the corresponding exponential system { exp(2πiλx) : λ ∈
  Λ } is complete in L²(S) for every set S with sufficiently small measur
 e. In this talk\, I will present a recent affirmative answer to this probl
 em and discuss its various extensions and applications. The talk is based 
 on joint work with Susanna Bertolini\, Enric Florit-Simon and Mitchell Tay
 lor.\n
LOCATION:https://researchseminars.org/talk/OARS/81/
END:VEVENT
END:VCALENDAR