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SUMMARY:Wave envelope estimates in Fourier restriction theory - Dominique 
 Maldague (University of Cambridge)
DTSTART:20241120T133000Z
DTEND:20241120T150000Z
UID:TALK223846@talks.cam.ac.uk
CONTACT:Julia Wolf
DESCRIPTION:Wave packet decomposition allows us to express functions with 
 restricted frequency support as a superposition of wave packets (simpler f
 unctions which are localized in both space and frequency). A wave envelope
  estimate is a new type of inequality in Fourier restriction theory which 
 provides extra information about how wave packets can combine to maximize 
 an Lp norm. Larry Guth and I proved a version of wave envelope estimates f
 or the cone which led to new exponential sum estimates that are relevant i
 n number theory. In a recent paper of Xiaochun Li and Xuerui Yang\, these 
 estimates appeared as the key new tool to prove the current best known bou
 nds for the Gauss circle problem and the Dirichlet divisor problem. 
LOCATION:MR4\, CMS
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