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Lacunary series and pseudocontinuations. / Александров, Алексей Борисович.

In: Journal of Mathematical Sciences , Vol. 92, No. 1, 1998, p. 3550-3559.

Research output: Contribution to journal › Article › peer-review

Harvard

Александров, АБ 1998, 'Lacunary series and pseudocontinuations', Journal of Mathematical Sciences , vol. 92, no. 1, pp. 3550-3559. https://doi.org/10.1007/BF02440139

APA

Александров, А. Б. (1998). Lacunary series and pseudocontinuations. Journal of Mathematical Sciences , 92(1), 3550-3559. https://doi.org/10.1007/BF02440139

Vancouver

Александров АБ. Lacunary series and pseudocontinuations. Journal of Mathematical Sciences . 1998;92(1):3550-3559. https://doi.org/10.1007/BF02440139

Author

Александров, Алексей Борисович. / Lacunary series and pseudocontinuations. In: Journal of Mathematical Sciences . 1998 ; Vol. 92, No. 1. pp. 3550-3559.

BibTeX

@article{54bc37030358418c802737ec7e87301d,
title = "Lacunary series and pseudocontinuations",
abstract = "The main goal of this paper is to prove the following statement. Let f = ∑n∈E anz be a function holomorphic and of bounded characteristic in the unit disk D, where E is a ∧(1)-subset of ℤ+. Assume that f has a pseudocontinuation of bounded characteristic to the annulus {z ∈ ℂ : 1 < |z| < R}. Then f admits analytic continuation to the disk RD. In particular, f is a polynomial if R = +∞. Bibliography: 16 titles.",
author = "Александров, {Алексей Борисович}",
note = "Funding Information: This research was supported in part by the Russian Foundation of Fundamental Investigations, grant No. 94-01-0132-a, and by the International Science Foundation, grant No. R3M300.",
year = "1998",
doi = "10.1007/BF02440139",
language = "English",
volume = "92",
pages = "3550--3559",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "1",

}

RIS

TY - JOUR

T1 - Lacunary series and pseudocontinuations

AU - Александров, Алексей Борисович

N1 - Funding Information: This research was supported in part by the Russian Foundation of Fundamental Investigations, grant No. 94-01-0132-a, and by the International Science Foundation, grant No. R3M300.

PY - 1998

Y1 - 1998

N2 - The main goal of this paper is to prove the following statement. Let f = ∑n∈E anz be a function holomorphic and of bounded characteristic in the unit disk D, where E is a ∧(1)-subset of ℤ+. Assume that f has a pseudocontinuation of bounded characteristic to the annulus {z ∈ ℂ : 1 < |z| < R}. Then f admits analytic continuation to the disk RD. In particular, f is a polynomial if R = +∞. Bibliography: 16 titles.

AB - The main goal of this paper is to prove the following statement. Let f = ∑n∈E anz be a function holomorphic and of bounded characteristic in the unit disk D, where E is a ∧(1)-subset of ℤ+. Assume that f has a pseudocontinuation of bounded characteristic to the annulus {z ∈ ℂ : 1 < |z| < R}. Then f admits analytic continuation to the disk RD. In particular, f is a polynomial if R = +∞. Bibliography: 16 titles.

UR - http://www.scopus.com/inward/record.url?scp=54749098871&partnerID=8YFLogxK

U2 - 10.1007/BF02440139

DO - 10.1007/BF02440139

M3 - Article

AN - SCOPUS:54749098871

VL - 92

SP - 3550

EP - 3559

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 1

ER -

ID: 87312466