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- W286547479 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" @default.
- W286547479 created "2016-06-24" @default.
- W286547479 creator A5020513623 @default.
- W286547479 date "2013-01-01" @default.
- W286547479 modified "2023-09-23" @default.
- W286547479 title "Asymptotic values of quasiregular maps" @default.
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- W286547479 hasPublicationYear "2013" @default.
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