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UID:5547@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20140120T100000
DTEND;TZID=Europe/Paris:20140120T110000
DTSTAMP:20241030T102616Z
URL:https://www.i2m.univ-amu.fr/evenements/univalent-functions-in-model-su
 bspaces/
SUMMARY:Konstantin Fedorovskiy (Bauman Moscow State Technical University\, 
 Russia): Univalent functions in model subspaces
DESCRIPTION:Konstantin Fedorovskiy: It is planned to discuss the questions 
 on existence and boundary behavior of univalent functions in model subspac
 es (i.e. subspaces of the Hardy space H2 that are invariant under the back
 ward shift operator\; all such subspaces have the form KΘ = H2 ⊖ ΘH2\,
  where Θ is an inner function). These questions are closely related with 
 problems of boundary regularity of Nevanlinna domains (one recalls that bo
 unded simply connected domain Ω in ℂ is called a Nevanlinna domain if t
 here exist two functions u\,v  H∞(Ω)\, v non-zero\, such that the equal
 ity z = u(z)∕v(z) holds almost everywhere on ∂Ω in the sense of confo
 rmal mappings). Nevanlinna domains\, in turn\, have recently and naturally
  appeared in problems of uniform approximability of functions by polyanaly
 tic polynomials (i.e. by polynomials of the form znp n(z) +  +zp1(z) + p0(
 z)\, where pn\,…\,p0 — are polynomials in the complex variable z) on c
 ompact subsets of the complex plane. \nhttps://arxiv.org/abs/1705.05930\n\
 n&nbsp\;
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 020/01/Konstantin_Fedorovskiy.jpg
CATEGORIES:Séminaire,Analyse et Géométrie
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