A New Proof for the Description of Holomorphic Flows on Multiply Connected Domains

A New Proof for the Description of Holomorphic Flows on Multiply Connected Domains

We provide a new proof for the description of holomorphic and biholomorphic flows on multiply connected domains in the complex plane. In contrast to the original proof of Heins (1941) we do this by the means of operator theory and by utilizing the techniques of universal coverings of the underlying...

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Main Authors: F. Jafari, Z. Słodkowski, T. Tonev
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2014/160579
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spelling doaj-fbf3993cf3064a0bb8cd5542939dd77c2020-11-24T21:54:24ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252014-01-01201410.1155/2014/160579160579A New Proof for the Description of Holomorphic Flows on Multiply Connected DomainsF. Jafari0Z. Słodkowski1T. Tonev2Department of Mathematics, University of Wyoming, Laramie, WY 82071, USADepartment of Mathematics, Statistics and Computer Science, University of Illinois, Chicago, IL 60612, USADepartment of Mathematical Sciences, University of Montana, Missoula, MT 59812, USAWe provide a new proof for the description of holomorphic and biholomorphic flows on multiply connected domains in the complex plane. In contrast to the original proof of Heins (1941) we do this by the means of operator theory and by utilizing the techniques of universal coverings of the underlying domains of holomorphic flows and their liftings on the corresponding universal coverings.http://dx.doi.org/10.1155/2014/160579
collection DOAJ
language English
format Article
sources DOAJ
author F. Jafari
Z. Słodkowski
T. Tonev
spellingShingle F. Jafari
Z. Słodkowski
T. Tonev
A New Proof for the Description of Holomorphic Flows on Multiply Connected Domains
International Journal of Mathematics and Mathematical Sciences
author_facet F. Jafari
Z. Słodkowski
T. Tonev
author_sort F. Jafari
title A New Proof for the Description of Holomorphic Flows on Multiply Connected Domains
title_short A New Proof for the Description of Holomorphic Flows on Multiply Connected Domains
title_full A New Proof for the Description of Holomorphic Flows on Multiply Connected Domains
title_fullStr A New Proof for the Description of Holomorphic Flows on Multiply Connected Domains
title_full_unstemmed A New Proof for the Description of Holomorphic Flows on Multiply Connected Domains
title_sort new proof for the description of holomorphic flows on multiply connected domains
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2014-01-01
description We provide a new proof for the description of holomorphic and biholomorphic flows on multiply connected domains in the complex plane. In contrast to the original proof of Heins (1941) we do this by the means of operator theory and by utilizing the techniques of universal coverings of the underlying domains of holomorphic flows and their liftings on the corresponding universal coverings.
url http://dx.doi.org/10.1155/2014/160579
work_keys_str_mv AT fjafari anewproofforthedescriptionofholomorphicflowsonmultiplyconnecteddomains
AT zsłodkowski anewproofforthedescriptionofholomorphicflowsonmultiplyconnecteddomains
AT ttonev anewproofforthedescriptionofholomorphicflowsonmultiplyconnecteddomains
AT fjafari newproofforthedescriptionofholomorphicflowsonmultiplyconnecteddomains
AT zsłodkowski newproofforthedescriptionofholomorphicflowsonmultiplyconnecteddomains
AT ttonev newproofforthedescriptionofholomorphicflowsonmultiplyconnecteddomains
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