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Descripción
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| 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. In [1] and [2], joint work with Qu Jinjing, 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 from [3]. References [1] A. Canton and Q. Jingjing, A note on asymptotic values of quasiregular maps, (ac- cepted for publication in) Israel J. of Mathematics. [2] , Asymptotic values of some continuous functions, (preprint). [3] D. Drasin, On a method of Holopainen and Rickman, Israel J. of Mathematics 101 (1997), 73?84. | |
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Internacional
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Si |
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Nombre congreso
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Encuentros de Análisis Real y Complejo 2014 |
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Tipo de participación
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960 |
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Lugar del congreso
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Gerona |
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Revisores
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Si |
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ISBN o ISSN
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00000000 |
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DOI
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Fecha inicio congreso
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22/05/2014 |
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Fecha fin congreso
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24/05/2014 |
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Desde la página
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0 |
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Hasta la página
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0 |
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Título de las actas
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EARCO 2014 |