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SUMMARY:Lyonell Boulton (Heriot Watt)
DTSTART:20200604T140000Z
DTEND:20200604T150000Z
DTSTAMP:20260423T052548Z
UID:LANS/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LANS/2/">Lin
 ear Completeness for Non-linear Spectral Problems</a>\nby Lyonell Boulton 
 (Heriot Watt) as part of London analysis seminar\n\n\nAbstract\nThis talk 
 concerns the question of completeness for families of eigenfunctions assoc
 iated to non-linear eigenvalue problems. After presenting the general sett
 ing\, I will comment on several directions of progress about this question
  for a few model equations on a segment. These include versions of the non
 -linear Laplacian eigenvalue problem\, the non-linear Schrödinger and p
 erhaps a couple of other artificial\, but interesting\, cases. During the 
 talk it will become evident that the question of completeness is intimatel
 y related with deep results about the basis properties of dilated periodic
  functions. Some of these date back to the pioneering work of Beurling in 
 the mid 1950s and a remarkable framework developed by Hedenmalm\, Lindqvis
 t and Seip in the 1990s.\n
LOCATION:https://researchseminars.org/talk/LANS/2/
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