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

Analysis of PDEs 2007-05-23 v1 Metric Geometry

Abstract

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 H\mathbb H-type Carnot groups for parabolic and hyperbolic type domains.

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Cite

@article{arxiv.math/0509289,
  title  = {On Value Distributions for Quasimeromorphic Mappings on $\mathbb H$-type Carnot Groups},
  author = {Irina Markina and Sergey Vodopyanov},
  journal= {arXiv preprint arXiv:math/0509289},
  year   = {2007}
}

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56 pages