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SUMMARY:Interpolation formulas and extremal problems in Fourier analysis
DTSTART:20250514T110000Z
DTEND:20250514T120000Z
DTSTAMP:20260305T172100Z
UID:indico-event-395@math-events.uni-bonn.de
DESCRIPTION:Speakers: Danylo Radchenko (University of Lille)\n\nA Fourier 
 interpolation formula is an identity allowing one to reconstruct a functio
 n from discrete samples of it and its Fourier transform. Although many su
 ch identities are classical and well-known for band-limited functions\, fi
 rst general Fourier interpolation formulas were constructed only recently\
 , motivated by questions arising from the sphere packing problem.\nI will 
 discuss the recent constructions of Fourier interpolation formulas based o
 n modular forms and explain the role that similar formulas are expected to
  play in sphere packing and energy minimization problems. I will also desc
 ribe the recent solution of the Hörmander-Bernhardsson extremal problem\,
  and some remarkable properties of the Hörmander-Bernhardsson function.\n
 \nhttps://math-events.uni-bonn.de/event/395/
LOCATION:Endenicher Allee 60/1-016 - Lipschitzsaal (Mathezentrum)
URL:https://math-events.uni-bonn.de/event/395/
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