On the stability of unique range sets for meromorphic functions

For a set S we construct a complex space Z sub S such that S is a unique range set for meromorphic functions (URS) if and only if Z sub S is hyperbolic. A consequence of this result is that the set of URS with n elements (considered as a subset of C sup n) is open, and then the small deformations of...

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Detalles Bibliográficos
Autores principales: Ha Huy Khoai, Nguyen Van Khue
Lenguaje:eng
Publicado: 2003
Materias:
General Theoretical Physics
Acceso en línea:http://cds.cern.ch/record/747034
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author Ha Huy Khoai
Nguyen Van Khue
author_facet Ha Huy Khoai
Nguyen Van Khue
author_sort Ha Huy Khoai
collection CERN
description For a set S we construct a complex space Z sub S such that S is a unique range set for meromorphic functions (URS) if and only if Z sub S is hyperbolic. A consequence of this result is that the set of URS with n elements (considered as a subset of C sup n) is open, and then the small deformations of Yi's and Frank-Reinders' sets are URS.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2003
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spelling cern-7470342019-09-30T06:29:59Zhttp://cds.cern.ch/record/747034engHa Huy KhoaiNguyen Van KhueOn the stability of unique range sets for meromorphic functionsGeneral Theoretical PhysicsFor a set S we construct a complex space Z sub S such that S is a unique range set for meromorphic functions (URS) if and only if Z sub S is hyperbolic. A consequence of this result is that the set of URS with n elements (considered as a subset of C sup n) is open, and then the small deformations of Yi's and Frank-Reinders' sets are URS.IC-2003-18oai:cds.cern.ch:7470342003
spellingShingle General Theoretical Physics
Ha Huy Khoai
Nguyen Van Khue
On the stability of unique range sets for meromorphic functions
title On the stability of unique range sets for meromorphic functions
title_full On the stability of unique range sets for meromorphic functions
title_fullStr On the stability of unique range sets for meromorphic functions
title_full_unstemmed On the stability of unique range sets for meromorphic functions
title_short On the stability of unique range sets for meromorphic functions
title_sort on the stability of unique range sets for meromorphic functions
topic General Theoretical Physics
url http://cds.cern.ch/record/747034
work_keys_str_mv AT hahuykhoai onthestabilityofuniquerangesetsformeromorphicfunctions
AT nguyenvankhue onthestabilityofuniquerangesetsformeromorphicfunctions

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