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Interpolation by periods in a planar domain. / Dubashinskiy, M. B.

в: St. Petersburg Mathematical Journal, Том 28, № 5, 01.01.2017, стр. 597-669.

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Harvard

Dubashinskiy, MB 2017, 'Interpolation by periods in a planar domain', St. Petersburg Mathematical Journal, Том. 28, № 5, стр. 597-669. https://doi.org/10.1090/spmj/1465

APA

Dubashinskiy, M. B. (2017). Interpolation by periods in a planar domain. St. Petersburg Mathematical Journal, 28(5), 597-669. https://doi.org/10.1090/spmj/1465

Vancouver

Dubashinskiy MB. Interpolation by periods in a planar domain. St. Petersburg Mathematical Journal. 2017 Янв. 1;28(5):597-669. https://doi.org/10.1090/spmj/1465

Author

Dubashinskiy, M. B. / Interpolation by periods in a planar domain. в: St. Petersburg Mathematical Journal. 2017 ; Том 28, № 5. стр. 597-669.

BibTeX

@article{82029a6cc5cf4e4182560f5a23d64031,
title = "Interpolation by periods in a planar domain",
abstract = "Let Ω ⊂ ℝ2 be a countably connected domain. With any closed differential form of degree 1 in Ω with components in L2(Ω) one associates the sequence of its periods around the holes in Ω that is around the bounded connected components of ℝ2 \ Ω. For which Ω the collection of such period sequences coincides with ℓ2 We give an answer in terms of metric properties of holes in Ω.",
keywords = "Harmonic functions, Infinitely-connected domain, Interpolation, Periods of forms, Riesz basis",
author = "Dubashinskiy, {M. B.}",
year = "2017",
month = jan,
day = "1",
doi = "10.1090/spmj/1465",
language = "English",
volume = "28",
pages = "597--669",
journal = "St. Petersburg Mathematical Journal",
issn = "1061-0022",
publisher = "American Mathematical Society",
number = "5",

}

RIS

TY - JOUR

T1 - Interpolation by periods in a planar domain

AU - Dubashinskiy, M. B.

PY - 2017/1/1

Y1 - 2017/1/1

N2 - Let Ω ⊂ ℝ2 be a countably connected domain. With any closed differential form of degree 1 in Ω with components in L2(Ω) one associates the sequence of its periods around the holes in Ω that is around the bounded connected components of ℝ2 \ Ω. For which Ω the collection of such period sequences coincides with ℓ2 We give an answer in terms of metric properties of holes in Ω.

AB - Let Ω ⊂ ℝ2 be a countably connected domain. With any closed differential form of degree 1 in Ω with components in L2(Ω) one associates the sequence of its periods around the holes in Ω that is around the bounded connected components of ℝ2 \ Ω. For which Ω the collection of such period sequences coincides with ℓ2 We give an answer in terms of metric properties of holes in Ω.

KW - Harmonic functions

KW - Infinitely-connected domain

KW - Interpolation

KW - Periods of forms

KW - Riesz basis

UR - http://www.scopus.com/inward/record.url?scp=85026303105&partnerID=8YFLogxK

U2 - 10.1090/spmj/1465

DO - 10.1090/spmj/1465

M3 - Article

AN - SCOPUS:85026303105

VL - 28

SP - 597

EP - 669

JO - St. Petersburg Mathematical Journal

JF - St. Petersburg Mathematical Journal

SN - 1061-0022

IS - 5

ER -

ID: 36498082