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Localization of Zeros in Cauchy–de Branges Spaces. / Abakumov, Evgeny; Baranov, Anton; Belov, Yurii.

Trends in Mathematics. Springer Nature, 2019. p. 5-27 (Trends in Mathematics).

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Research › peer-review

Harvard

Abakumov, E, Baranov, A & Belov, Y 2019, Localization of Zeros in Cauchy–de Branges Spaces. in Trends in Mathematics. Trends in Mathematics, Springer Nature, pp. 5-27. https://doi.org/10.1007/978-3-030-14640-5_2

APA

Abakumov, E., Baranov, A., & Belov, Y. (2019). Localization of Zeros in Cauchy–de Branges Spaces. In Trends in Mathematics (pp. 5-27). (Trends in Mathematics). Springer Nature. https://doi.org/10.1007/978-3-030-14640-5_2

Vancouver

Abakumov E, Baranov A, Belov Y. Localization of Zeros in Cauchy–de Branges Spaces. In Trends in Mathematics. Springer Nature. 2019. p. 5-27. (Trends in Mathematics). https://doi.org/10.1007/978-3-030-14640-5_2

Author

Abakumov, Evgeny ; Baranov, Anton ; Belov, Yurii. / Localization of Zeros in Cauchy–de Branges Spaces. Trends in Mathematics. Springer Nature, 2019. pp. 5-27 (Trends in Mathematics).

BibTeX

@inbook{eea3112dcece43a18a4755101e03553f,
title = "Localization of Zeros in Cauchy–de Branges Spaces",
abstract = "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.",
keywords = "Cauchy transforms, de Branges spaces, Distribution of zeros of entire functions, Polynomial approximation",
author = "Evgeny Abakumov and Anton Baranov and Yurii Belov",
year = "2019",
month = jun,
day = "10",
doi = "10.1007/978-3-030-14640-5_2",
language = "English",
series = "Trends in Mathematics",
publisher = "Springer Nature",
pages = "5--27",
booktitle = "Trends in Mathematics",
address = "Germany",

}

RIS

TY - CHAP

T1 - Localization of Zeros in Cauchy–de Branges Spaces

AU - Abakumov, Evgeny

AU - Baranov, Anton

AU - Belov, Yurii

PY - 2019/6/10

Y1 - 2019/6/10

N2 - 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.

AB - 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.

KW - Cauchy transforms

KW - de Branges spaces

KW - Distribution of zeros of entire functions

KW - Polynomial approximation

UR - http://www.scopus.com/inward/record.url?scp=85066753263&partnerID=8YFLogxK

UR - http://www.mendeley.com/research/localization-zeros-cauchyde-branges-spaces

U2 - 10.1007/978-3-030-14640-5_2

DO - 10.1007/978-3-030-14640-5_2

M3 - Chapter

AN - SCOPUS:85066753263

T3 - Trends in Mathematics

SP - 5

EP - 27

BT - Trends in Mathematics

PB - Springer Nature

ER -

ID: 43866053