Unique determination of conformal type for domains. II

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Unique determination of conformal type for domains. II. / Kopylov, Anatolii Pavlovich.

In: Сибирские электронные математические известия, Vol. 16, 01.09.2019, p. 1205-1214.

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

Harvard

Kopylov, AP 2019, 'Unique determination of conformal type for domains. II', Сибирские электронные математические известия, vol. 16, pp. 1205-1214. https://doi.org/10.33048/SEMI.2019.16.082

APA

Kopylov, A. P. (2019). Unique determination of conformal type for domains. II. Сибирские электронные математические известия, 16, 1205-1214. https://doi.org/10.33048/SEMI.2019.16.082

Vancouver

Kopylov AP. Unique determination of conformal type for domains. II. Сибирские электронные математические известия. 2019 Sept 1;16:1205-1214. doi: 10.33048/SEMI.2019.16.082

Author

Kopylov, Anatolii Pavlovich. / Unique determination of conformal type for domains. II. In: Сибирские электронные математические известия. 2019 ; Vol. 16. pp. 1205-1214.

BibTeX

@article{2735f1a8c9914063909ff6268531e27c,

title = "Unique determination of conformal type for domains. II",

abstract = "The article is the second part of a review series entitled {"}Unique determination of conformal type for domains, {"} initiated by the author's eponymous paper, published in Sib. ` Elektron. Mat. Izv., 16, 692-708 (2019). The main result of the present article is that any convex bounded polyhedral domain in the three-dimensional Euclidean space is uniquely determined by the relative conformal moduli of its boundary condensers.",

keywords = "Boundary condenser, Conformal mapping, Isometric mapping, P-modulus of a family of paths, Quasiconformal mapping, Unique determination",

author = "Kopylov, {Anatolii Pavlovich}",

year = "2019",

month = sep,

day = "1",

doi = "10.33048/SEMI.2019.16.082",

language = "English",

volume = "16",

pages = "1205--1214",

journal = "Сибирские электронные математические известия",

issn = "1813-3304",

publisher = "Sobolev Institute of Mathematics",

}

RIS

TY - JOUR

T1 - Unique determination of conformal type for domains. II

AU - Kopylov, Anatolii Pavlovich

PY - 2019/9/1

Y1 - 2019/9/1

N2 - The article is the second part of a review series entitled "Unique determination of conformal type for domains, " initiated by the author's eponymous paper, published in Sib. ` Elektron. Mat. Izv., 16, 692-708 (2019). The main result of the present article is that any convex bounded polyhedral domain in the three-dimensional Euclidean space is uniquely determined by the relative conformal moduli of its boundary condensers.

AB - The article is the second part of a review series entitled "Unique determination of conformal type for domains, " initiated by the author's eponymous paper, published in Sib. ` Elektron. Mat. Izv., 16, 692-708 (2019). The main result of the present article is that any convex bounded polyhedral domain in the three-dimensional Euclidean space is uniquely determined by the relative conformal moduli of its boundary condensers.

KW - Boundary condenser

KW - Conformal mapping

KW - Isometric mapping

KW - P-modulus of a family of paths

KW - Quasiconformal mapping

KW - Unique determination

UR - http://www.scopus.com/inward/record.url?scp=85083383248&partnerID=8YFLogxK

U2 - 10.33048/SEMI.2019.16.082

DO - 10.33048/SEMI.2019.16.082

M3 - Article

AN - SCOPUS:85083383248

VL - 16

SP - 1205

EP - 1214

JO - Сибирские электронные математические известия

JF - Сибирские электронные математические известия

SN - 1813-3304

ER -

ID: 24162435