Localisation

Adresses

Aix-Marseille Université
Institut de Mathématiques de Marseille (I2M) - UMR 7373
Site Saint-Charles : 3 place Victor Hugo, Case 19, 13331 Marseille Cedex 3
Site Luminy : Campus de Luminy - Case 907 - 13288 Marseille Cedex 9

Séminaire

Quadrature domains, their properties, and relations with Nevanlinna domains

Konstantin Fedorovskiy
Bauman Moscow State Technical University, Russia
http://www.mathnet.ru/eng/person8649

Date(s) : 23/01/2017   iCal
10h30 - 11h30

A bounded domain G ⊂ ℂ is said to be a quadrature domain (or, more precisely, quadrature domain in the wide sense), if there exists a distribution T with support in G, such that for any holomorphic integrable in G function f one has ∫ Gf dA = T(f), where 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 Nevanlinna domains (in the class of simply connected domains). In the talk it is planned to discuss descriptions of simply connected Nevanlinna and quadrature domains in terms of conformal and univalent harmonic mappings.

https://arxiv.org/abs/1808.07436

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