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UID:7655@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20170123T103000
DTEND;TZID=Europe/Paris:20170123T113000
DTSTAMP:20241120T204748Z
URL:https://www.i2m.univ-amu.fr/evenements/quadrature-domains-their-proper
 ties-and-relations-with-nevanlinna-domains/
SUMMARY:Konstantin Fedorovskiy (Bauman Moscow State Technical University\, 
 Russia): Quadrature domains\, their properties\, and relations with Nevanl
 inna domains
DESCRIPTION:Konstantin Fedorovskiy: A bounded domain G ⊂ ℂ is said to b
 e a quadrature domain (or\, more precisely\, quadrature domain in the wide
  sense)\, if there exists a distribution T with support in G\, such that f
 or any holomorphic integrable in G function f one has ∫ Gf dA = T(f)\, w
 here dA stands for the area measure. If the support of T is a finite set\,
  then G is said to be a classical quadrature domain. It turns out that the
  concept of a quadrature domain has (via the concept of a Schwarz function
 ) interesting relations with the concept of Nevanlinna and locally Nevanli
 nna domains (in the class of simply connected domains). In the talk it is 
 planned to discuss descriptions of simply connected Nevanlinna and quadrat
 ure domains in terms of conformal and univalent harmonic mappings.\nhttps:
 //arxiv.org/abs/1808.07436\n
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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