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SUMMARY:Naser Sardari (Penn State)
DTSTART:20210519T150000Z
DTEND:20210519T160000Z
DTSTAMP:20260423T021401Z
UID:hnts/32
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/hnts/32/">Hi
 gher Fourier interpolation on the plane</a>\nby Naser Sardari (Penn State)
  as part of Heilbronn number theory seminar\n\n\nAbstract\nRadchenko and V
 iazovska recently proved an elegant formula that expresses the value of th
 e Schwartz function $f$ at any given point in terms of the values of $f$ a
 nd its Fourier transform on the set $\\{ \\sqrt{|n|}:n\\in \\Z\\}.$ We dev
 elop new interpolation formulas using the values of the higher derivatives
  on new discrete sets. \n\nIn particular\,  we prove a conjecture of Cohn\
 ,  Kumar\,  Miller\,  Radchenko and  Viazovska that was motivated by the u
 niversal optimality of the hexagonal lattice.\n
LOCATION:https://researchseminars.org/talk/hnts/32/
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