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DTSTART:20240310T070000
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URL:https://uwaterloo.ca/pure-mathematics/events/analysis-seminar-191
SUMMARY:Analysis Seminar
CLASS:PUBLIC
DESCRIPTION:PAVLOS KALANTZOPOULOS\, UC IRVINE\n\nAnalysis Seminar: A multiv
 ersion of real and complex\nhypercontractivity\n\nWe establish a multivers
 ion of real and complex Gaussian\nhypercontractivity. More precisely\, our
  result generalizes Nelson’s\nhypercontractivity in the real setting and
  the works of Beckner\,\nWeissler\, Janson\, and Epperson in the complex s
 etting to several\nfunctions. The proof relies on heat semigroup methods\,
  where we\nconstruct an interpolation map that connects the inequality at 
 the\nendpoints. As a consequence\, we derive sharp multidimensional versio
 ns\nof the Hausdorff-Young inequality\, a Noisy Gaussian-Jensen inequality
 \,\nand the log-Sobolev inequality. This is joint work with Paata\nIvanisv
 ili.\n\nMC 5417 or Join on Zoom\n[https://uwaterloo.zoom.us/j/94186354814?
 pwd=NGpLM3B4eWNZckd1aTROcmRreW96QT09]
DTSTAMP:20260504T123158Z
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