On Value Distributions for Quasimeromorphic Mappings on $\mathbb H$-type Carnot Groups

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In the present paper we define quasimeromorphic mappings on homogeneous groups and study their properties. We prove an analogue of results of L. Ahlfors, R. Nevanlinna and S. Rickman, concerning the value distribution for quasimeromorphic mappings on $\mathbb H$-type Carnot groups for parabolic and hyperbolic type domains.
56 pages

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Analysis of PDEs, Metric Geometry, 32H30, 31B15, 43A80

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http://salesiana.dossiersoluciones.com/handle/123456789/76327

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0509289
 http://arxiv.org/abs/math/0509289

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arXiv