DOI

We study the class of discrete measures in the complex plane with the following property: up to a finite number, all zeros of any Cauchy transform of the measure (with ℓ2-data) are localized near the support of the measure. We find several equivalent forms of this property and prove that the parts of the support attracting zeros of Cauchy transforms are ordered by inclusion modulo finite sets.

Язык оригиналаанглийский
Название основной публикацииTrends in Mathematics
ИздательSpringer Nature
Страницы5-27
Число страниц23
DOI
СостояниеОпубликовано - 10 июн 2019

Серия публикаций

НазваниеTrends in Mathematics
ISSN (печатное издание)2297-0215
ISSN (электронное издание)2297-024X

    Предметные области Scopus

  • Математика (все)

ID: 43866053