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SUMMARY:Apoorva Khare (IISc.\, Bangalore)
DTSTART:20200910T103000Z
DTEND:20200910T113000Z
DTSTAMP:20260423T022829Z
UID:SF-and-nt/7
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SF-and-nt/7/
 ">An introduction to total positivity</a>\nby Apoorva Khare (IISc.\, Banga
 lore) as part of Special Functions and Number Theory seminar\n\n\nAbstract
 \nI will give a gentle introduction to total positivity and the theory of 
 Polya frequency (PF) functions. This includes their spectral properties\, 
 basic examples including via convolution\, and a few proofs to show how th
 e main ingredients fit together. Many classical results (and one Hypothesi
 s) from before 1955 feature in this journey. I will end by describing how 
 PF functions connect to the Laguerre-Polya class and hence Polya-Schur mul
 tipliers\, and mention 21st century incarnations of the latter.\n
LOCATION:https://researchseminars.org/talk/SF-and-nt/7/
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