Asymptotic values of quasiregular maps

Canton Pire, Alicia (2013). Asymptotic values of quasiregular maps. In: "Congreso de Jóvenes Investigadores", 16/09/2013 - 20/09/2013, Sevilla, Spain. p. 1.

Description

Title: Asymptotic values of quasiregular maps
Author/s:
  • Canton Pire, Alicia
Item Type: Presentation at Congress or Conference (Other)
Event Title: Congreso de Jóvenes Investigadores
Event Dates: 16/09/2013 - 20/09/2013
Event Location: Sevilla, Spain
Title of Book: Resúmenes de Congreso de Jóvenes Investigadores
Date: 2013
Subjects:
Faculty: E.T.S.I. Navales (UPM)
Department: Matemática e Informática Aplicadas a la Ingenierías Civil y Naval
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

Suslin analytic sets characterize the sets of asymptotic values of entire holomorphic functions. By a theorem of Ahlfors, the set of asymptotic values is finite for a function with finite order of growth. Quasiregular maps are a natural generalization of holomorphic functions to dimensions n ≥ 3 and, in fact, many of the properties of holomorphic functions have counterparts for quasiregular maps. It is shown that analytic sets also characterize the sets of asymptotic values of quasiregular maps in Rn, even for those with finite order of growth. Our construction is based on Drasin's quasiregular sine function

More information

Item ID: 33311
DC Identifier: http://oa.upm.es/33311/
OAI Identifier: oai:oa.upm.es:33311
Deposited by: Memoria Investigacion
Deposited on: 23 May 2015 08:25
Last Modified: 23 May 2015 08:25
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