Standard

Comparison of Clark Measures in Several Complex Variables. / Aleksandrov, Aleksei B.; Doubtsov, Evgueni.

Trends in Mathematics. Springer Nature, 2021. p. 9-16 (Trends in Mathematics; Vol. 12).

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

Harvard

Aleksandrov, AB & Doubtsov, E 2021, Comparison of Clark Measures in Several Complex Variables. in Trends in Mathematics. Trends in Mathematics, vol. 12, Springer Nature, pp. 9-16. https://doi.org/10.1007/978-3-030-74417-5_2

APA

Aleksandrov, A. B., & Doubtsov, E. (2021). Comparison of Clark Measures in Several Complex Variables. In Trends in Mathematics (pp. 9-16). (Trends in Mathematics; Vol. 12). Springer Nature. https://doi.org/10.1007/978-3-030-74417-5_2

Vancouver

Aleksandrov AB, Doubtsov E. Comparison of Clark Measures in Several Complex Variables. In Trends in Mathematics. Springer Nature. 2021. p. 9-16. (Trends in Mathematics). https://doi.org/10.1007/978-3-030-74417-5_2

Author

Aleksandrov, Aleksei B. ; Doubtsov, Evgueni. / Comparison of Clark Measures in Several Complex Variables. Trends in Mathematics. Springer Nature, 2021. pp. 9-16 (Trends in Mathematics).

BibTeX

@inbook{4c866d955d91426c8d7104a4b25b262f,
title = "Comparison of Clark Measures in Several Complex Variables",
abstract = "Let D denote the unit disc of C and let Ω denote the unit ball Bn of Cn or the unit polydisc Dn, n≥ 2. Given a non-constant holomorphic function b: Ω → D, we study the corresponding family σα[ b], α∈ ∂D, of Clark measures on ∂Ω. For Ω = Bn and an inner function I: Bn→ D, we show that the property σ1[ I] ≪ σ1[ b] is directly related to the membership of an appropriate function in the de Branges–Rovnyak space H(b).",
author = "Aleksandrov, {Aleksei B.} and Evgueni Doubtsov",
note = "Publisher Copyright: {\textcopyright} 2021, The Author(s), under exclusive license to Springer Nature Switzerland AG.",
year = "2021",
doi = "10.1007/978-3-030-74417-5_2",
language = "English",
series = "Trends in Mathematics",
publisher = "Springer Nature",
pages = "9--16",
booktitle = "Trends in Mathematics",
address = "Germany",

}

RIS

TY - CHAP

T1 - Comparison of Clark Measures in Several Complex Variables

AU - Aleksandrov, Aleksei B.

AU - Doubtsov, Evgueni

N1 - Publisher Copyright: © 2021, The Author(s), under exclusive license to Springer Nature Switzerland AG.

PY - 2021

Y1 - 2021

N2 - Let D denote the unit disc of C and let Ω denote the unit ball Bn of Cn or the unit polydisc Dn, n≥ 2. Given a non-constant holomorphic function b: Ω → D, we study the corresponding family σα[ b], α∈ ∂D, of Clark measures on ∂Ω. For Ω = Bn and an inner function I: Bn→ D, we show that the property σ1[ I] ≪ σ1[ b] is directly related to the membership of an appropriate function in the de Branges–Rovnyak space H(b).

AB - Let D denote the unit disc of C and let Ω denote the unit ball Bn of Cn or the unit polydisc Dn, n≥ 2. Given a non-constant holomorphic function b: Ω → D, we study the corresponding family σα[ b], α∈ ∂D, of Clark measures on ∂Ω. For Ω = Bn and an inner function I: Bn→ D, we show that the property σ1[ I] ≪ σ1[ b] is directly related to the membership of an appropriate function in the de Branges–Rovnyak space H(b).

UR - http://www.scopus.com/inward/record.url?scp=85118549057&partnerID=8YFLogxK

U2 - 10.1007/978-3-030-74417-5_2

DO - 10.1007/978-3-030-74417-5_2

M3 - Chapter

AN - SCOPUS:85118549057

T3 - Trends in Mathematics

SP - 9

EP - 16

BT - Trends in Mathematics

PB - Springer Nature

ER -

ID: 93204661