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UID:6428@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20210503T100000
DTEND;TZID=Europe/Paris:20210503T110000
DTSTAMP:20241120T201429Z
URL:https://www.i2m.univ-amu.fr/evenements/backward-shift-and-nearly-invar
 iant-subspaces-of-fock-type-spaces/
SUMMARY:Alexandru Aleman (Lund University\, Sweden): Backward shift and nea
 rly invariant subspaces of Fock-type spaces
DESCRIPTION:Alexandru Aleman: The talk concerns the structure of backward s
 hift-invariant and nearly invariant subspaces in weighted Fock-type spaces
  whose weight is not necessarily radial. If polynomials are dense in such 
 a space\, the only nontrivial (closed) backward shift invariant subspaces 
 are the polynomials whose degree does not exceed a fixed integer. On the o
 ther hand\, the structure of nearly invariant subspaces is much more compl
 icated. In the case of spaces of slow growth (up to zero exponential type)
  an analogue of de Branges' Ordering Theorem holds for such subspaces. Fin
 ally\, in spaces of large growth I am going to discuss some examples which
  reveal a very interesting structure and\, in particular\, show that the o
 rdering result fails. This is a report on joint work with A. Baranov\, Y. 
 Belov and Hakan Hedenmalm. \nhttps://arxiv.org/abs/2007.06107\n
CATEGORIES:Séminaire,Analyse et Géométrie,Virtual event
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