Holomorphy of an arbitrary unbounded mapping of a plane domain into the plane, preserving angles along a system of rays-Reference-Cited by-同舟云学术

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Holomorphy of an arbitrary unbounded mapping of a plane domain into the plane, preserving angles along a system of rays

Published:1991 Issue:1 Volume:32 Page:21-28
ISSN:0037-4466
Container-title:Siberian Mathematical Journal
language:en
Short-container-title:Sib Math J

Author:

Brodovich M. T.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/BF00970155.pdf

Reference10 articles.

1. D. Menchoff, ?Sur les représentations qui conservent les angles,? Math. Ann.,109, 101?159 (1933).

2. Yu. Yu. Trokhimchuk, Continuous Mappings and Conditions for Monogeneity, Israel Program for Scientific Translations, Jerusalem (1964).

3. A. P. Kopylov, ?Homeomorphic mappings in the three-dimensional Euclidean space that preserve angles between rays,? Dokl. Akad. Nauk SSSR,170, No. 5, 1016?1017 (1966).

4. M. T. Brodovich, ?A sufficient condition for the conformality of an arbitrary one-to-one mapping,? Dokl. Akad. Nauk Ukr. SSR, Ser. A, No. 6, 489?491 (1974).

5. M. T. Brodovich, ?On angle-preserving mappings. I,? Teor. Funktsii Funktsional. Anal. Prilozhen. (Khar'kov), No. 25, 31?49 (1976).

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